Calculus

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Browse Recent Calculus Questions Asked by Students

Browse our recently answered Calculus homework questions.

Q: If an investment decreases 1% the first year, 6% the second year and 9% the third year, what is the…
Q: Solve
Q: Find the volume of the solid of revolution for the region bounded by x = y2 and x = 3y rotated…
Q: Consider the set L of letters in the alphabet. Consider the rule defined on L that takes a letter to…
Q: Find the distance the point P(0, -6, -8), is to the plane through the three points Q(2, -3, -4),…
Q: d the equation of the tangent line to the graph of the function f (2) I+7 2-6 at the poim
Q: Form a polynomial whose zeros and degree are given. Zeros:7,multiplicity 1; 3,multiplicity 2;…
Q: 17. [sec u] = (sec u tan u)u' dx
Q: The limit represents the derivative of some function f at some number a. State such an f and a. lim…
Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…
Q: N 1. Solve each of the following initial value problems and plot he solutions for several values of…
Q: 28. Se cost sin 2t dt
Q: Consider the following system of linear equations. 13x − 17y = 10 kx + 11y = −29 State all values of…
Q: Find the percent of increase or decrease to the nearest whole percent.  $8.00; $10.00
Q: The signal of Micha's Wi-Fi router covers a circular area, whose border is modeled by the equation…
Q: Lim. Zan² (4x) X² it: to x 70
Q: For the following exercises, use transformation of the parent function to graph the exponential…
Q: Let f(x)=√4x-1 and g(x)= Find (f+g)(x). (f-gxx). (fg)(x), and (f+g)(x)= (Simplify your answer.) 1449…
Q: 1. Find the general solution to the differential equation x' = t cos(t²). Find the particular…
Q: Find all values c such that lim x-2 2c²x 5c +1 x²-3x + 2 - exists. (a real number)
Q: For the following functions, state the domain of y, find dy dx and its domain. 279. y=sin-¹(x²) 280.…
Q: Select all statements below that you agree with. Note: You may be checking more than one box. No…
Q: Please solve the given equation or inequality graphically. Enter your answers as a comma-separated…
Q: 393. lim x → xl/x 0+
Q: xekx (f) S dx where k is a constant. If there are any particular values of k where your (1 + kx)²…
Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…
Q: mation 9. y'-y = 2te²¹, y(0) = 1 2
Q: Let a, b, c and y be the three dimensional vectors à = 3j+4k, b=i+6j+2k, č=4i-8j, ÿ=−i+ Perform the…
Q: Find f+g, f-g, fg, and f/g and their domains. f(x)=√16-x², g(x)=√x+3 Find (f + g)(x). Find the…
Q: The point  P(9, −2)  lies on the curve  y = 2/(8 − x). (a) If Q is the point  (x, 2/(8 − x)),  use…
Q: Find the second derivative of each function. Do not leave negative exponents in answers: (a) y =…
Q: Find the x-value at which f is discontinuous and determine whether f is continuous from the right,…
Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.
Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim
Q: If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c…
Q: An equation for the line tangent to the graph of the differentiable function f at x = 3 is y = 4x +…
Q: Given that lim f(x) = 1 lim g(x) = −4 lim h(x) = 0, find the limits, if they exist. (If an answer…
Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x³ - 27 lim…
Q: Find the maximal value of delta >0 such that, for every x, if 0<|x-2|<delta then |5x-10|<1.
Q: 1. Consider the ODE: (2x + 4y) + (4x − 2y + 1)y' = 0. Verify that the ODE is exact and then find its…
Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not exist, indicate that…
Q: T 1) Evaluate the following, if it exists: lim √√√√x+x³ cos x→0
Q: Take the integral: *x+1 x-1 dx
Q: 7. Use Midpoint approximation with n = 6 equal subintervals to approximate the following. 1 ln(x…
Q: Show that f is continuous on (-∞, ∞). (₁-x² if x ≤ 1 In(x) if x > 1 On the interval (-∞, 1), f is…
Q: lin +²-25 ++-5 2t² + 1lt +5
Q: 122/222 SECTION: Suppose an object is fired vertically upward from the ground with an initial…
Q: 24. k(x) : = x-2 2-x
Q: 2. Let h(x) = f(x) · g(x) and j(x) = f(x) / g(x). Complete the table using the information about f…
Q: 5. Find all constants a, b that make f continuous everywhere. (Use limits and definition of…

Most Popular Calculus Homework Q&A

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Q: Two computers each produced 43,000 public utilities bills in a day. One computer printed bills at…
Q: Land Lake 4 miles 1 mile An athlete is planning for the "Land and Lake Race," the path of which is…
Q: 7. The weight of a population of yeast is given by a differentiable function, y, where y(t) is…
Q: A producer will not supply any items when the price is $535 or lower, but when the price per item is…
Q: 1. When oil was spilled out in the middle of a lake, it spread out on the surface of the water in a…
Q: A certain electronics manufacturer is making GPUS for gaming laptops (GPU stands for graphics…
Q: 1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the…
Q: 9. Let g be the function that satisfies a(0) = 0 and whose derivative satisfies L8(x) = 2[x]. )…
Q: From his eye, which stands 1.61 meters above the ground, Jacob measures the angle of elevation to…
Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…
Q: 78. The continuous function f is positive and has domain x > 0. If the asymptotes of the graph of f…
Q: Three regions are defined in the figure. y C (0, 8 ) B (1,8) R2 R3 y38 R1 y38 x A (1,0) Find the…
Q: OKonkuo Practice Worksheet: Synthetic Division 1. Based on the work provided, 2. Based on the work…
Q: The second derivative of the function f is given by f" (x) = esin z (2 cos x – x sin x + xcos?x).…
Q: When you board a Ferris wheel moving counter- clockwise at a constant rate, your feet are 4 feet off…
Q: The Queen of May is sailing due east at 10 knots. The Blue Star is sailing 3 west of north at 15…
Q: A baker can bake 90 cookies in half an hour. If she takes one hour for lunch and two 15 minute…
Q: Practice Wörksheët: 1. Based on the work provided, write the dividend as a 2. Based on the work…
Q: Three regions are defined in the figure. y C (0, 4 )} B (1, 4) R2 R3 y=4 Vx R1 y=4 x A (1,0) Find…
Q: The structures of each of the dyes used in this experiment are shown below. Based on your…
Q: Write the number for six million, four hundred thousand, nine hundred twenty seven.
Q: What is the volume of the solid generated when the region bounded by the graph of y = x°, the…
Q: The graph of f’, the derivative of the function f, is shown above. If f(0) = 0, which of the…
Q: From the observation deck of a skyscraper, Jamal measures a 51° angle of depression to a ship in the…
Q: A farmer has 350 feet of fencing to enclose 2 adjacent horse corrals. What dimensions should be used…
Q: 59. The figure below shows a flying kite. At a certain moment, the kite string forms an angle of…
Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the…
Q: Lin is looking at cyclic quadrilateral ABCD. he says, "I'm not convinced that opposite angles of…
Q: Let f () Jo sint dt. At how many points in the closed interval 0, does the instantaneous rate of…
Q: The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft 5 ft 8 ft…
Q: Darlena has started taking photos at amateur dog racing events, later offering the photos for sale…
Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…
Q: Consider the blue vertical line shown above (click on graph for better view) connecting the graphs y…
Q: See photo
Q: Suppose the graph of the displacement function is shown in the graph below, where the values on the…
Q: 3. A restaurant bill is $59 and you pay $72. What percentage gratuity did you pay
Q: Let f be the function given by f (x) = sin(2x) cos(1 +x). What is the average value of fon the…
Q: In a Washington town, the charge for commercial waste collection is $694.55 for 5 tons of waste and…
Q: According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural…
Q: When oil was spilled out in the middle of a lake, it spread out on the surface of the water in a…
Q: The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the…
Q: 60. If a publisher charges $15 for the first copy of a book that is ordered and $12 for each…
Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to…
Q: Let g be a differentiable function such that g (10) 2e and g' (x) 5e-V. What is the value of g (2) ?…
Q: The deck of a bridge is suspended 205 feet above a river. If a pebble falls off the side of the…
Q: (c) By choosing appropriate secant lines, estimate the slope of the tangent line at P. (Round your…
Q: The stopping distance of an automoble, on dry, level pavement, traveling at a speed v (In kilometers…
Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…
Q: A snail moves 1/50 of a mile in 5/6 of an hour. if the snail continues at this pace, how far, in…
Q: (c) fx) = [sin(x)]], a = n (Recall that means the largest integer that is less than or equal to…
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Explore Calculus Concepts

Calculus got you stumped? We can help you out! Check out our explainers with topics ranging from arithmetic sequences to z-scores.

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Advanced Calculus
Advanced calculus is a more advanced version of multivariable calculus. Advanced topics in calculus include multivariable limits, partial derivatives, inverse and implicit function theorems, double and triple integrals, vector calculus, divergence theorem and stokes theorem, advanced series, and power series.
Differentiation
Differentiation is one of the major concepts of calculus apart from integration. It is the derivative or rate of change of a function with respect to the independent variable.
Fundamentals of Calculus
The fundamentals of calculus include topics like limits, differential calculus, integral calculus, multivariable calculus. The two primary operations in calculus are differentiation and integration.
Integration
Integration is one of the two major calculus topics along with differentiation. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Multivariate Calculus
Multivariable calculus is study of calculus in one variable to multiple variables. The typical operations involved are limits and continuity, partial differentiation, and multiple integration. Major applications are in regression analysis, in finance by quantitative analyst, in engineering and social science to study and build high dimensional systems and exhibit deterministic nature.
Real Analysis
Real analysis is a branch of mathematical analysis that studies about real numbers, sequences and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes concepts of limits, convergence, continuity, and measure theory.
Vector Calculus
Vector calculus also called as vector analysis deals with differentiation and integration of the vector field in three-dimensional Euclidean space. It deals with quantities that have both magnitude and direction.

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