Find the most general antiderivative of the function.(Check your answer by differentiation.)   f ( t ) = (3 t 4 - t 3  + 6 t 2  )/ t 4

Q: Determine the general antiderivative of the function. w (x) = 34–11z 1 True or false?W (x) = 34–11z…

A: Question is solved.

Q: 1. Find the derivative of the following functions. 1 (b) y(t) = Vi (c) y(t) = - (a) y(t) = t %3D

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Q: Find the derivative of the function at P, in the direction of u. 2х- у g(x,y) = 5xy + 6' Po(1, - 1),…

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Q: functions

A: We have to find the antiderivative of the given function according to the given information

Q: Find an antiderivative of the following function by trial and error. Check your answer by…

A: we need to use trial and error method

Q: Find the derivative of the functions. a. y= e5x b. y= er-3 c. y= ecos x d. y= e2 sin x e. y= e* sin…

A: We need to find the derivative of the functions. First we should know the following differentiation…

Q: Find the derivative of the function. f(t) = t/2 log,(v t + 3) %3D f'(E) = %3D

A: Given:           f(t)= t32  log9 t+3

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: NOTE: Refresh your page if you can't see any equations. . take integration

Q: c) Express f (t) in terms of Heaviside functions H (t – a). 0<t<1 1<t< 2 0, e* , 2 <t < 3 In x , 3<t…

A: To express the below function in terms of Heaviside function ?(t-a).…

Q: c(x)=2x2-7x; c(0)=4,000

A: answer is in next step

Q: Find an antiderivative of the function. (a) h(q) = sin(q) H(g) = (b) f(x) = 3eX F(x) =

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Q: Find all the antiderivatives of the following function. Check your work by taking derivatives.

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Q: B.x+9 D.을고 + 9z + C 3. Which of the following can be a possible antiderivative for the derivative of…

A: In this question we will use basic of calculus i.e derivative and anti derivative.  We will first…

Q: Find an antiderivative of the following function by trial and error. Check your answer by…

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Q: Let F(x) be an antiderivative of f(x), with F(1) = 30 and | f(x) dx = -8. What is F(6)?

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Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)

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Q: Find the most general antiderivative of the function, and check your answer with differentiation.…

A: We will use the formulas: Using the formulas we get: Here a=2 c=integrating constant

Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation.…

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Q: Find the derivative of the function at P, in the direction of u. x- 3y g(x.y) = 2хy +3 Ро(1, - 1),…

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Q: The derivative of f(t) = 21° · h(t), where fand h are differentiable functions is: A. 10° · h(t) +…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Where a is a constant, then a is equal to:

A: Since, the joint probability distribution function is given .. Here, wa want to the value of 'a'

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Compute the derivative of the given function. g(t) = 2t*e' – 4 sin t cos t g'(1) =

A: on doing differentiation with respect to t we get

Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. 1…

A: Anti derivative is also called integration.

Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation.…

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Q: Determine the antiderivatives of the following functions: 1 1. f dx √36-x2 1 2. f dx 9x²+36

A: Given, ∫136-x2dx Let I=∫136-x2dxi=∫162-x2dxWe know that ∫1a2-x2dx=sin-1xa+CThereforeI=sin-1x6+CThat…

Q: 2. Is the function G(x) = 2e -5 an antiderivative of the function g(x) = 6e"? Use the…

A: Given information: function Gx=2e3x-5 function gx=6e3x here, we have to show that, the function G(x)…

Q: Find the derivative (dy/dx) of the following functions: h) у%3D Зx7 —7х3 + 21x2 - i) y = (x² +…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. A)…

A: Consider the functions

Q: Find the differential of the function y = f(x). f(x) = 7x5/6 + 2x2/3 %3D %3D

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Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation.…

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Q: Find the most general antiderivative of the function f(æ) = 3e* + 6 sec² x. Answer: F(x)

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Q: d²y Q1/ By using implicit differentiation, find dy and dx of the following function: dx2 y =…

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Q: Find the dy/dx of the following function. Implicit differentiation e2y + x3 =y

A: We have to determine derivative of following function

Q: Find the gradient ∇f of the function f given the differential. df=2ye^xdx+xe^xdy   ∇f=

A: Note that            . Here, df=2yexdx+xexdy. So, here we have fx(x, y) = 2yex and fy(x, y) = xex.

Q: e function f m (0,0) to

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Q: Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' =…

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Q: Find the differential of the function. u = 2x + 7 du = %3!

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Q: Let F(x) be an antiderivative of f(x), with F(1) = 20 and * f (x)dx = -7. What is F(4)?

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Q: Can i get help step by step with this problem?

A: Given:

Q: Given a function f(w, x, y, z) = 2(w + 1)² x − xe²+, which of the following is not part of the total…

A: Given a function fw, x, y, z=2w+12x-xez+y2zw, to determine which of the following is not part of the…

Q: Consider the function f(x) = 5x-5x2 +4x 8. An antiderivative of f(x) is F(x) - Aa* + Ba + + Cx? + Dx…

A: The given function is: f(x)=5x3-5x2+4x-8

Q: Find the differential of the function. T =V 9 + uvw

A: Given T = v9+uvw

Q: Consider the function f(x, t) = (x – ct)° + (x + ct)° where c is a constant. Calculate and dx2

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Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (3x' – 2)' u? a) y=…

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Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. -9…

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Q: Using implicit differentiation, find dæ2 in terms of x and y, given that x+y + 6x = 1. |a| sin (a)…

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Q: How do I find the antiderivative

A: Given derivative function with condition

Q: Find an antiderivative of the following function by trial and error. Check your answer by…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: