7. * In [In (In æ)]

Q: Find * 4xe²? dx. e2z² + 2ez² +2 -2tan-1(e*² + 1) + c 2tan-1(e* + 1) + c O Option 2 Option 1…

A:

Q: Find the integral of: * |x In(x + 1)dx 1 1 1 * In\x + 1| +x² +x+;In |x + 1| + € 5x² Inlx +…

A: Here we have to do integration by parts.

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: Solution of question is written in below steps.

Q: Find the linear approximation of f(x)=lnx at x=1and use it to estimate ln⁡(1.3) L(x)=? ln 1.3≈?

A: First find the linear equation at x=1  then find the approximate values

Q: Find f 6x dx? А. х2 + с В. 2х2 + с c. +c D. Зx2 + C

A: This is a problem of indefinite integral. Based on the general formula we will answer the question.

Q: y=6-2x-x^2; y=x+6 The volume of the solid generated by revolving about x-axis is ___________ to the…

A:

Q: O Find all velues of sx for whEu tue serics Converjes. for these alues of l, wnte tue sum of tue…

A:

Q: Find the directional derivative of f(x, y, z) = at P(4,5, –3) x + z _n the direction from P to Q(3,…

A:

Q: Billy savings account is currently $200 overdrawn. Billy plans on depositing $75 each week for the…

A: It is given that Billy savings account is currently $200 overdrawn and he plans on depositing $75…

Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

A:

Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 5.…

A:

Q: Evaluate the given: So sin" () cosº () dz cos 10

A:

Q: Differentiate the following using logarithmic differentiation. 1. у%3D (x+6)(x+8)8 (r+3)3(r+5)s

A:

Q: Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: so if…

A:

Q: Find the area bounded by these curves. (All choices are in sq. units) Y1 = (x – 2)? Y2 = x

A:

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11), and (1,0,-1).…

A: Given

Q: An object hangs from a spring balance. The balance registers 36 N in air, 25 N when this object is…

A: given

Q: Find the area bounded by these curves. (All choices are in sq. units) Y1 = sin z Y2 =

A:

Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

A:

Q: Solve the given third-order differential equation by variation of parameters. у" - бу" — у'+ бу 3D…

A:

Q: ylo) >3 y'lo) : -s g"Co) » 1 y" Co) = -23 yu Co) = 47

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the…

A:

Q: Please complete the question. How do I check the answer.

A: Apologies for the inconvenience.   We can check the answer by multiplying the matrices. We will…

Q: where's the answer?

A: Apologies for the inconvenience. The given limit is limx→99-xx-3. We have to evaluate it.

Q: M3.2 Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

A:

Q: АCTIVITY GIVEN : 2x 2x 1 2х + 3 1 f (x) = 1 –x 8 g(x) = 3(x + + 4 h(x) = 6 a.lim -4 · f (x) d.lim (8…

A:

Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

A:

Q: Evaluate the following integral using the method of partial fraction. (6x²+ 41x + 110)dx b. S (x +…

A: Given:     ∫6x2+41x+110x+2x2+10x+29dx Perform partial fraction decomposition:

Q: find the parametric equations of the line through (-3,0,2) that is parallel to 3i-4j+k. x(t)= y(t)=…

A:

Q: S 4x cos(2 – 3x) dx

A:

Q: Find 3x? arctan x dx.

A:

Q: Consider the points A(3, –3, 2), B(4,–5,0), C(-1, –4,0), and D(6, 2, –3). (a) Find the volume of the…

A: AB→ = i -2j-2kAC→ = -4i-j-2kAD→ = 3i+5j-5k Volume of parallelepiped with AB→, AC→ ,AD→ as adjacent…

Q: Use the triple scalar product to find the volume of the parallelepiped hav u = i+j v = j+ k w = i+k

A: Given: u=i+kv=j+kw=i+k

Q: 1. Given: 7- 4r S(x) (z+2)² ' with f'(x) = (z + 8)(z= 2) and f"(z) = 8(7x – 4) (x+2)³ (z+ 2)* * e.…

A:

Q: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows

Q: Evaluate the limit. t3 + 13 sin (t) lim (Give an exact answer. Use symbolic notation and fractions…

A: The objective of the question is evaluate the limit of the given function.

Q: Given .5 8 | f(=)dz = /f(2)dz + f(2)da – | f(a)da, -6 6 what are the limits of integration a and b?…

A:

Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,4, 1). NOTE: Enter the…

A:

Q: Free-Falling Object In Exercises 37 and 38, use the position function s(t) = -4.9f + 250, which…

A:

Q: examples of geometric problems that can be solved using the parametric equations of a line and…

A:

Q: 86 10. 24 abe 2:4:3 9.

A: Answer 9 but given information in question 10 is incorrect

Q: Solve the differential equation with the appropriate method. Finalize the answer free of fractions…

A:

Q: Matching Type. Match Column A with Column B. Write the letter of your choice from Column B in the…

A:

Q: Show that the lines L1 : x = 2 – t, y = 2t, z =1+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: Evaluate the following integral using trigonometric substitution. хах Vx2– x – 1 а.

A:

Q: 6. gx) VX- 3 at x = 4 三 7 g(x) at X = 8 三 e1 gCX)= n4ーメ at x =0

A: Given

Q: * sin" (3y) cos" (3y) dy 10 (3y) dy COS 15360 111546435 256 156009

A: Given:   Given:    ∫0π6sin133ycos103y dy

Q: EVALUATION Matching Type: Match the functions in Column A with their corresponding derivatives n…

A:

Q: Consider the function y= x³ – 9x + 4. a. Sketch the graph of y= x3 - 9x + 4. b. Find and describe…

A: