The numerical value of xe*dr is

Q: A. Let f(x)= 2x² +x. Use the definition of the derivative to find f'(x). B. Find the derivative of e...

A: Solving by using definition of derivatives

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: The given sequence,  522-12, 632-22, 742-32,.........

Q: dz dz 10. Compute for the following equation. and dx dy e*Y + xz? = 6xy*. *z° ||

A:

Q: Find the Taylor polynomials of orders n = 0. 1, 2, 3. and 4 about r = 20 and then find the nth Taylo...

A:

Q: find a and b if the line tangent to f(x) = a(x − b)2 − 1 at x = −3 is also tangent to g(x) = 1/4(x +...

A:

Q: The graph of an everywhere differentiable function is shown below. Use it to select the correct ineq...

A:

Q: Use long division to find quotient  x3 + 2x + 4        x - 3

A: By using long division find quotientx3+2x+4x-3

Q: Find g' (3) given that f(3) = -6 and f'(3) = 4 %3D (a) For g(x) = 3xr² – 5 f(x) %3D 1 g' (3) = %3D 2...

A:

Q: 1. One of the following is an improper integral CA In 3 cIn 2 dx xp 4 – ex 2x + 1 JIn 0.5 ' In 2 dx ...

A: I am attaching image so that you understand each and every step.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 P (X) –

A: Taylor polynomial of 4th order of function fx at a is defined as: fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x...

Q: 1 |dz 4z

A:

Q: 7. Determine f(x) so that Scon cos(In°x)f(x) dx = sin(ln²x) + C 2 Inx (a) 2 In x (b) In x (c) (d) 2

A:

Q: O A) (-1, 1) B) (-o, - 2) U (0, 2) O C) (0, co) O D) (-o, 0)

A: A function f(x) is decreasing on [a,b] if the graph f'(x) is moving downwards on [a,b]

Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

A: (b) the line y = -3 Draw a line segment across the region parallel to the axis of revolution (the li...

Q: 7. Using integration by parts evaluate the integral /(z- 2x)e-3 dz

A:

Q: Example 3.8. For r = 1, 2, 3 and y = 1,2, let the joint pmf of X and Y be defined by x+ y fx,y(x, y)...

A:

Q: 2 cot- (esc") if -3 3. a. Determine if f is continuous or discontinuous at x = 0 and at x = 3. If di...

A: For the solution of the problem follow the next steps.

Q: In Exercises 47-62, use a sketch to find the exact value of each expression. 47. cos(sin £) 49. tan(...

A:

Q: Given the matrix below, determine the following:  a. Cofactor of the element 5 b. Cofactor of eleme...

A:

Q: Exact Equations (w3 + wz? – z) dw + (23 + w²z - w) dz = 0 O (w? + z?) = 4wz + c O (w? + 2?) = (4wz +...

A: Given the exact differential equation(w3+wz2−z)dw+(z3+w2z−w)dz=0

Q: 1I. Create a table of values for the function and use the result o estimate the limit. You are allow...

A:

Q: If inflation grows continuously at a rate of 6% per year, how long will it take for $8 to lose half ...

A:

Q: To determine how fast a change in weight will occur, the most plausible assumption is that is propor...

A: Given that dwdt is proportional to the net excess C-19.25w

Q: 9. Evaluate the integral ex V2e-2x – 3e2x 2/2e-2x – 3e2x +C А. 1 3eªx – 2+C B. 2/3 Arcan V3e2x Arcsi...

A:

Q: ²+2x 5. Sketch the curve: y? x-1

A: The graph of the given function is plotted below.

Q: CSC X du 5. If u = f(x), then =1. Compute f %3D sin x- cos x COS X 2 (a) 1 (b) -1 (c) 0 (d) 2

A: =∫ csc xsinx -cos x dxsin x =1csc x,cos x =cot xcsc x    = ∫ csc x1csc x-cot xcsc x dx=∫ -csc2x dxco...

Q: For the integral which of the following options is corn A. lim (x- 1)|+ lim (x – 1)3 B. lim 3(x – 1)...

A: Find your answer below 

Q: Find the radius of convergence of the power series. (If you need to use co or -, enter INFINITY or -...

A:

Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

A:

Q: Evaluate the integral S dx 2x3 - 3xx 1 -In 2/2 "I/3x + /2 +C En(2 { x³ - 3x x)+c 1 V2 + V3x -In + C ...

A: First we take common x3/4 then put√x=t  And using integration of 1/a2 - x2

Q: 1+ In x tan(f(x)) Find f(x) so that when u = f(x) the integral | dx can be rewritten as cot u du . А...

A:

Q: 14. Find dr/de: r= 0 sin 0 + cos 0 а. cos @ b. 0 cos 0 0 sin 0 C. O a O b

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: Given that a, =3 and if a is even; a 5a -1 if a is odd. Then tern number four, i.e., a, is

A: Series

Q: dx For the integral f which of the following options is correct? A. lim -(x – 1)½ ", + lim (x – 1)/3...

A:

Q: Exact Equations (w³ + wz² – z) dw + (z³ + w²z – w) dz = 0 O (w² + z?)² = 4wz + c O (w? + 2?) = (4wz ...

A:

Q: 17. Let f(x) - (x- 3)Show that there is no value ofc in (1,4) such that /(4) not contradiet the Mean...

A:

Q: Find the Maclaurin polynomials of orders n = 0. 1.2.3, eand 4 and then find the nth Maclaurin polyno...

A:

Q: 6. The number x, 2x + 7, 10x - 7 forms a Geometric Progression. Find the value of x A. 5 B. 6 C. ...

A:

Q: 1+ In x 6. Find f(x) so that when u = f(x) the integral J tan(f(x)) dx can be rewritten as | cot u (...

A: Solve by integration

Q: ON 3 sec3(In x) + sec2(In x) tan(In x) 2х n x) tan(In x) n x) dx c³(In x) + sec²(In x)

A: We have to choose the correct option according to the given information

Q: 2 dxdy

A:

Q: Evaluate the integral tan 4x dx Vtan? 4x - 24 tan 4x 1 Arcsec 4/24 V24 +C O 1 sec 4x Arcsec 20 + C O...

A:

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. 2. Write the g...

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019 ...

A:

Q: For the function f(x) x sin a, find the Maclaurin series and its radius of = COS X - convergence.

A:

Q: Given F(s) = L(f), f(t), a, b, L, n are constants. Show the solution. 12 228 1) s4 $6 2) L²s²+n²n²

A: find inverse laplace transform ?

Q: x* – /x dx бу 4

A: integration

Q: 2. Solve example 2 of rational inequality. You can refer to example 1 for the gide steps Example 1 3...

A: Inequality

Q: Example 4: Show that the inverse of a point a with respect to the circle| z - c | = Ris the %3D R 2 ...

A: Given the inverse of a point wrt circle