- The antiderivative of f (x) =; whose graph passes through the point (C 3+5sinx+. +3cosx 1(. 5 1(. 1. 5

Q: is The antiderivative of the function f(x) =. 2x а. 2 In x + c b. 1

A: Givenf(x)=12xAntiderivative of f(x)=?Antiderivative is nothing but integral.

Q: Any two antiderivatives of f (x) differ by a constant.

A: We need to check whether two antiderivative of f(x) differ by a constant.

Q: 5. Find the most general antiderivative of the following function. 2x? +5 f(x) = x² +1

A: Explanation of the solution is given below...

Q: Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

A:

Q: 4. For the below function, find the stationary point (s) and prove if a maximum, minimum, or saddle…

A:

Q: 8. Find the antiderivative of the following functions: a) f (x) = 3 b) f (x) = 2x c) f (x) = 5x

A: We have given to find derivative of the function  a) f(x) = 3  f'x = ddxfx f'x=ddx3 f'x=0 b) f(x) =…

Q: If f(3) 12 and f '(x) 2 1 for 3 sxs 7, how small can f(7) possibly be? Enhanced Feedback

A:

Q: -Find the D.f ofr (x, y) = (x² – y)' at Po(3, 1) with

A:

Q: – x®y³, 6. Given f(x, y) = e®° - show that fxy = fyx.

A:

Q: Find all antiderivatives of function:  f (x) = e3x

A: Given- fx=e3x To Find- The antiderivative of the above expression.

Q: Find an antiderivative of the function f(x)=3−x.

A:

Q: Are the f-llowing functions Continual s OFC メーE X-2 スト=メ 1P 2) FCX)s X- S X +7 at XE-1 X5qXs (xフゴ

A:

Q: 10. Find the antiderivative of the following functions: a) f (x) = 12 – x b) f (x) = 8x³ – 9x² + 4…

A:

Q: Given this graph of y = f(t): -1 -2 -3 if A(x) | f(t) dt then: А(1) А (1) -

A: In this question we have to find A(1) and A'(1)

Q: (1) Where on the line r = ay does the function f(x, y) = (x – a)² + (y – 2)2 attain its smallest…

A: The line whose equation is of the form y=mx is passes through the origin and slope of the line is m.

Q: 8. Find the extremum and saddle points of the function f(x, y) – x3 – 3xy + y3 if any.

A:

Q: Find for following 1.y = (x + v3x)S

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4 + 8x is x2 The antiderivative of the function f(x) = %3D

A:

Q: Find the general antiderivative of f(x) = 4x – 5. Use Cfor the arbitrary constant. nswer F(x) =

A: Fx=∫fxdx

Q: Find all antiderivatives of function:  f (x) = e-3x

A: Consider the given function. fx=e-3x We have to find  I=∫e-3x dx   Substitute -3x=u -3dx=dudx=-du3

Q: e. Find points on the graph of xy°z² = 16 that are closest to the origin.

A: Let P be point (x0,y0,z0) Then, distance between P and origin is given by

Q: Find the antiderivative F(x) of f(x)= 3√x that satisfies F(1)=2

A: The given function, f(x)=x3

Q: Find the most general antiderivative of the functions: 1)f(X)= 2secxtanx-3sinx 2)f(X)=…

A: (1) Given, f(x) = 2secxtanx-3sinx  ∫f(x)dx = ∫(2secxtanx-3sinx )dx               = ∫(2secxtanx)dx -…

Q: find the antiderivative of the function t(x)=5/x^2

A:

Q: Find the antiderivative of f(x). f(x) = 3e6x+ sec2(x) +x3

A:

Q: of For the function f(x.y) = In (x + 6y), find- of and dy

A: It is partial derivative so when we differentiate with respect to one variable consider other…

Q: Find an antiderivative of the function f(x)=1/x4.

A:

Q: I. Determine the general antiderivatives of the following functions: Show your solution 1. f(x)= 4x5…

A:

Q: 9. What is the antiderivative of f (x* – x³ + x² ) dx? - 1 r5 а. 5 1 1 --x4 +x³ +1 4 -3 с. X. 4 3 b.…

A: Given :   ∫ ( x4 - x³ + x²).dx    NOTE:   To find an Antidervative for a function f , we can often…

Q: Find the antiderivative of f(x)=e^(-1/x)/x^2

A: The answer of the above question is given below.

Q: 3 If F(x) = 2x² x² is an antiderivative of f(x), find Provide your answer below: S-2f(x) dx = 1-2…

A:

Q: Find the most general antiderivative of f(x) 2x-1+x.

A: Given,            f(x) = 2x2 - 1 + x-2

Q: Consider the function f(x, y) = e-xy It is possible to state that f reaches global extremes (global…

A:

Q: 17 If f(x)dx =17 and F(5) = 3, ( where F is an antiderivative of f(x)), what is the value of F(2)?

A: First we integrate using the fundamental theorem of calculus

Q: O For the bvp d²y - 9y = 3x, y(0) = y(1) = 0 the Green's functions G(x, §) satisfies d²G(x,£) -…

A: The greens function satisfies the homogeneous differential equation, not the non - homogeneous…

Q: The antiderivative of the function 4 + 10x is. x2 f(æ) = 4 + 5.0x2 + c - -4 5.0x2 + c -10 + 2.0x2 +…

A:

Q: 2. Find and classify all the extrema of the function f (x, y) = 4xye e-(x²+y²)/4

A: The given function is:  f(x,y) = 4xy e-(x^2 +y^2)/4

Q: Given that g(2)=5 and g'(2)=3, linearize g(x) near x=2 and use this linerization to approximate…

A: Consider the linearization formula for g(x) near x = a.

Q: 4 + 9x is x2 The antiderivative of the function f(x) %3D

A:

Q: What must be true of F(x) and G(x) if both are antiderivatives of f(x)? Why is it important to add…

A:

Q: find the antiderivative of the function h(x)=5/x

A: Recall the fact that the antiderivative of a function is the integration of that function.

Q: Find the general antiderivative, F(x), of the function f(x) = 2x -6x² +x+ 2.

A: we will answer the first question since exact one was not specified. Please resubmit the question…

Q: 5. Find the local extreme values of f(x, y) = x²y on the line a +y = 3.

A:

Q: Find the value of x for which the marginal profit is zero. C (x) = 2x, R(x) = 6x – 1,000

A:

Q: Find the antiderivative of the function: f(x) = ex + 3x - x2

A:

Q: Find an antiderivative of the function f(x)=e2x.

A:

Q: (b). Examine the behavior of e*+iy as x → -.

A: Euler's formula states that for any real number x  Any complex number z = x + iy,  can be written…

Q: Find constants c1 and c2 such that F(x) = c1xe -x + c2e -x is an antiderivative of f(x) = 3xe -x .

A: Given: Fx=C1xe-x+C2e-x  and fx=3xe-x

Q: At what x-value(s) on the interval [-2, 3] does the graph of f (x) = x² + 2x – 1 satisfy the M.V.T.?

A: According to mean value theorem,Let f be continuous on [a,b] anddifferentiable on (a,b). Then…

Q: [a, b]. If F(x) is an antiderivative of f(x), for real numbers ¤) + k]dx is equal to

A: