5. f(x) = [(x + 5)5 – 1]4

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A: Two vectors u and v are orthogonal if and only if u.v =0 .

Q: Use the Riemann sum with n = 2 rectangles to approximate dz. Round to 3 decimal places. A 0.867 0.72...

A:

Q: 39. Determine the value of b such that the function х -а х>3 f(x) = } -2 x = 3 (ах — b х <3 is conti...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Which of the following limits is equal to a* dæ? :) : A E(3+• lim n k 2 B (3+2 lim C 2k 3+ = lim n D...

A: Given problem:-

Q: 16. Find the area of the shaded region. Leave your answer in terms of pi. 50'

A: The solution is given in the next step.

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A:

Q: Determine any planes that are parallel or identical. (Select all that apply.) O P,: -60x + 90y + 60z...

A:

Q: Q2: Find the solution of the following Differential Equations 1. dx2 d²y dy – 6y = 0 - - dx 2. y" + ...

A:

Q: 7. Which of the following functions is defined implicitly? 2х-1 b. y = c. (x - 1)2 + y2 = 4 d. y = c...

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

Q: Consider the following. u = -7i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A: Here, the given vectors are: u=-7i-4j-2k, v=0i+4j+4k That is: u=-7,-4,-2, v=0,4,4

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 4 y + 7 = z +...

A: The equation of the line is x-43=y+75=z+5

Q: 1. Find the general solution of the differential equation: d'y d'y dy + y = 0 dr - dr3

A:

Q: = xe 10) Determine the absolute maximum and minimum for f(x) on the interval [0, 3].

A:

Q: VII. Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* – x)dy = 0 2. ...

A:

Q: Consider the following. u = -7i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A: a) Given vectors, u=-7i-4j-2k,v=4j+4kWe know that projection of u on to v is u.vvv^=(-7i-4j-2k)(4j+4...

Q: 4. What is the equation of the normal line to the curve 4x2 – 9y2 = 1 at point (3,2) ? a. y =x- 4 5....

A: Slope of the Normal Line to the graph of f(x) is  -1f'(x). Equation of the line : y-y1=mx-x1 where, ...

Q: し y(x) ¥(0)%=3

A:

Q: h(x, y, z) = xyz, P(3, 2, 6), v =

A: We will find the directional derivative. 

Q: on: Solve the equation:

A:

Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next...

A:

Q: Let 3a? -y f (x, y) = x² +y (1) Find the limit at (1, 1): lim(2,9)→(1,1) f(x, y). (2) Show that the ...

A:

Q: 8) f(x)= T+x²

A:

Q: Let X be a random variable with p.d.f f(x) = 2x,0 < x < 1. Find E(Vx). 2/3 5/4 3/2 4/5

A: Given

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A:

Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

A:

Q: 2. Applying the properties of an inverse of a one-to-one function, show that the following pairs are...

A: Solve

Q: The region bounded by the curve ×=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A: We have to find volume. 

Q: Determine whether each point lies on the line. x = -3 + t, y = 6t, z = 5 +t (a) (0, 18, 8) O Yes O N...

A: Line in 3D

Q: How can rearranging the order of terms in an infinite series be different for an absolutely converge...

A:

Q: Find a set of parametric equations for the line passing through the point (4, 0, 7) that is parallel...

A: topic - equation of a line

Q: 3. c ² +7z+10 dz, C: |F|=1

A:

Q: S sin(V2x)dx = sin(V2x) – V2x cos(v2x) + c %3D

A:

Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: Q2: Find the solution of the following Differential Equations d²y +6. dx2 dx dy + 12y = 0 3.

A: This is homogenous differential equation, solve it by using auxiliary equation. 

Q: Sxcsc²(x)dx = -xcot(x) + In(sin(x)) + c

A: We have to find value of u and du

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Note: as per our guidelines we have to solve 1st question. So please repost other questiin . sorry f...

Q: Determine the largest intervals in which the following functions are continuous. 2 (a) f(x) = 2 – 5x...

A:

Q: бх + 7 3. (x+2)

A:

Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 15t – 1. (Give your answer as...

A: Slope of tangent line

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: 8. DETAILS LARAPCALC10 3.3.062.EP. Consider the following function, where R is the revenue (in thous...

A: Use diminishing concept

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A:

Q: Compute: gcd(68, 54) = Find a pair of integers x and y such that 68x + 54y = gcd(68, 54) (x, y) = (

A:

Q: Let a = ci + jand b = 2i + 14j. Find c so that a and b are orthogonal. i

A: Given that,a=ci+j and b=2i+14j

Q: givens A = (-6,4,-8) and B = (8, 8, -2) find FIND: a unit vector in the direction of -A + 2B FIND: t...

A:

Q: 7.75 and has a focus at Write the equation of a parabola whose directrix is x (8.25, 6).

A:

Q: n+2 00 Σ n=0 V2+n 15. 2n 17. 8

A: As per the guidelines  we can answer only one question. If you want to get answer of your other ques...

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

A:

Q: The region bounded by the curve x=y?, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A:

Q: cos (6x) cos (3x)dx

A: Solution :∫cos6xcos3xdxNote :2cosacosb=cosa+b+cosa-b12∫2cos6xcos3xdx12∫cos6x+3x+cos6x-3xdx12∫cos9x+c...