Evaluate e (r- 2|) dx if it exists. If it does not exist, explain why.

Q: d (a) dx 2 1 + x

A: Topic:- derivatives

Q: Evaluate the followin dx X dx%3D X- 3 (Type an exact answer.)

A: Integrate as general

Q: Assume dx 6 and | g(x) dx = –-3. Evaluate each of the following:

A: Given as ∫05fxdx=6 and ∫05gxdx=-3

Q: S Evaluate: A None 1 dx (x-3)2 (в B D -I (E) ∞ (does not exist)

A:

Q: e dy dx У-х+1 У-х +5

A:

Q: dx If |h(0) de, then h(e) d0 : (4+x²)³

A: Given, ∫dx4+x23=∫hθ dθ

Q: ə e(g?+5xy-24 +4) dx x(2x + 2y -1) dly + メ

A:

Q: pV9-(In x)? dx = %3D e-3 Select one: a. TC 2. b. C. 3T

A: option A is correct

Q: Find dy/dx if : Y =x(x/a) + √ a2 - x2

A: Given: To Find:

Q: Exercise:solve the following different D(x+ ye)dx - xe dy = 0. %3D

A:

Q: D Evaluate 2x dx (I+ x)3

A:

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

A:

Q: dx Find the value of if it exists. x2 – 1 1 8.

A: I=∫1∞dxx2-1=∫1∞dxx+1x-1=12∫1∞2dxx+1x-1=12∫1∞x+1-x-1x+1x-1

Q: (a) If (In a] = , evaluate dx d [In x²] dx

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

Q: Evaluate e 2 e D dx 2 X (LAX) ²

A: In this question, we want to evaluate the given definite integral.

Q: dx V2x-x2 /2х-х2

A: Evaluate ∫42x-x2 dx

Q: Evaluate e dy y = - - 5-

A:

Q: Evaluate

A:

Q: Evaluate "x/2 e-x/² dx,[+hint: assume x = 2y] %3!

A:

Q: d Find {In(eª + e¯#)} dx

A: Given that: ddxlnex+e-x

Q: хе*+2 y = e2x+1

A:

Q: Srind dy /dx for X-(0)(cas20+ Osino andy

A:

Q: Complete the evaluation of V4 x make sure to express your answer in dx in Example 2; terms of x.

A: Consider the provided integral, ∫x24-x6dx Solve the above integral and write down the answer in term…

Q: Find the formula for df-1 /dx. f(x) = (1 – x)3 1 O A. 3x2/3 О В. 1-х1/3 Ос. -3(1- х)?

A:

Q: dy If y = x. 5* then dx

A: To find the derivative of the given function.

Q: Suppose that (x) dx=3 and g(x) dx=7, then what is 1 8. 8 the value of (х) dx ? 1

A:

Q: Exercise : xdy -y dx = xye dx.

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

Q: When you evaluate: dx, The sum of the coefficient of X for any constant n is

A:

Q: Show that: (e) (VF) = 1 dx

A: Derivative of a function xn: ddxxn=nxn-1                               (1) Given function is: f(x)=x…

Q: Use the chain rule to show that for a>0, x>0, d/dx xa = axa-1

A: We know that,The derivative of a function f(x)=xn usingpower rule is given asf'(xn)=nv(n-1), n>0…

Q: Let y=e" +b(x+1)'. When x = 0, suppose that dx - 0 and -0. dx Find the possible values of a and b.

A:

Q: Do you think the S f(x)dx is positive, negative, or zero? Explain.

A:

Q: Show that e* dx e

A: To Prove,∫1∞e-xdx = 1eConsidering LHS, let LHS be y - y = ∫1∞e-xdx…

Q: Sx°e*dx =(_)-e* + c,

A:

Q: dy Find dx implicitly e +x²-y² = (

A: Sorry student as per our guidelines we have to answer only first question of multiple questions are…

Q: How's f', and g'(x) used in composites d/dx for deriving

A:

Q: dx メ+Vaxt) dx |-x2

A: Given

Q: easy explanation of dx/dp of x= 10p * ((50-p)/p)^1/2

A:

Q: Evaluate , Sd-2, r2(1-z) dy dx dz

A:

Q: What is the value of Idx? (x-x2)Z x3+1 Evaluate dx ? x2-4 f dx

A:

Q: dy If dx and y (2) = 5, then

A:

Q: + k?y = 0 dx2 What type of D.E. is this?

A:

Q: dy If e*+y = xy, then dx

A:

Q: dy is Q5. If e** =xy, then dx

A:

Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: Evaluate the defin c12 4e 4*dx 3.

A: Given:     Integration of 4e4x from 3 to 12 limit.

Q: Determine dx dy if y = r -e' and x In(4f)

A: (1) first we find dydt (2) Second we find dxdt (3) then we find dydx=dydtdxdt

Q: Find the antiderivate of dx/(x2+4)3/2

A:

Q: 3 Differentiate the expression (x + y )" with respect to x. (Use D for 2). dx

A:

Q: Is (fe5x dx) = e5x ? dx True O False Reset Selection

A: ddx∫e5xdx=e5x