y+1-2 dy

Q: Find the inverse of the matrix of the following [1 8 91 1-A=|0 4 6 Lo o 3] 2 [3 2- A=5 -1 3

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Q: Which one is one of the critical points of the function f(x, y) = 2x + 2y + 8x - 4y + 11? Select…

A: Solution is given below:

Q: Simplify arctan4 + arctan (round to the nearest degree). 45° 0° 90°

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Q: A number is one more than thrice the other number. What is the minimum product of the two numbers?…

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Q: Find an explicit solution of the given initial-value problem. V1- y? dx - V1- x2 dy = 0, y(0) = . y…

A: Solve the following

Q: 6 arcsin(sin 40 ) = _____. -40° -220° 40° 220°

A: Solve the following

Q: Consider the following. u = -9i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

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Q: Consider the function: f(x)=10√x+8 on the interval [1,8] .Find the average or mean slope of the…

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Q: What are the relative extrema of the function f(x)=x3+3x3-24x+7

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Q: Question Select your answer. Find the value(s) of the constant k so that f(æ) = kx² – 5x + 1 and…

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Q: dy Find for the following expressions: dx a) y = x5 In(3x)

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Q: Solve the given initial-value problems. 4.43. re dr +(y-)dy 0; y(0) 0

A: x ex2 dx + (y5-1) dy =0x ex2 dx =(1-y5) dyvariable separable;∫ x ex2 dx=∫ (1-y5) dyx2=tx dx =dt212∫…

Q: . Find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q = (4, -2,1)…

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Q: 3. Scse*x dx

A: The objective of the question is evaluate the indefinite integral.

Q: If f(x, y) = 1 then 3(3x–2y) * is given by: | O None of these 4 (3x-2y)3 (3x-2y)3 - (3x–2y)³ 4 -…

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Q: Find the principal value of arcsin . 30° 60° no solution

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Q: B dy (ayt12) Vyt4

A: Given,            ∫52y+12y+4dy

Q: 2. Find the center of mass of the four particles having masses 2, 3, 3, and 4 kg and located at the…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: tan(arctan 5) = _____.

A: Since we know that tan(arctan x) = x

Q: sin[arcsin(1)] = -1 1 sin 1

A: We know, sin[arcsin(x)]=x

Q: A rectangle is expanding such that its length is always 4 times its width. If the width is…

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Q: Let there be the random vector Z E Rm Prove that E (||Z||*) = tr(E[ZZ"]) From the expression above,…

A: The answer is in step 2.

Q: For the following function f(x), determine whether there is an asymptote at x = a. Justify your…

A: For vertical asymptote ,set the denominator equal to zero .

Q: Does the sequence {an} converge or diverge? Explain. Find the limit if the sequence is convergent.…

A: Given query is to find the limit of the sequence.

Q: Given the hyperbola with the equation y – 9x? = -9, find the vertices, the foci, and the equations…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 8, (2, 1) Vf(2, 1) = 4i +…

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Q: Solve the elementary applications of Differential equation: 1. Suppose that the quantity of a…

A: 1. Suppose that the quantity of a radioactive substance originally weighing Xo grams decomposes at a…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Evaluate by separation of variables. dß %3D и(1 — и?) sec? р du 2 tan B+ sin 2ß = C – (1 – u?)? 2u?…

A: To solve the given differential equation.

Q: Consider the following. u = -9i – 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Explanation of the answer is as follows

Q: Find sin(2x), cos(2x), and tan(2x) using the given information. 7 csc(x) cos(x) < 0 2' -

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…

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Q: 2. * S arctan x dx 1 In(x²) + C C 1. x arctan x C A x arctan x -In(x² + 1) + C -- B 1 D x arctan x…

A: Solve the given integration

Q: Evaluate cos[arcsin ( -) + arccos 1. (10 + 13 v3)/26 O (12 + 5V3)/26 (12 + 5V5)/26

A: Ģiven, cos(arcsin(-1/2)+ arccos(5/13))

Q: The functions f and g are continuous and differentiable with g(x) = f'(x). Selected values of the…

A: Given query is to find the average valu e of function g(x).

Q: Given y=[2 +(x2+1)4 ]³; Find y' O y' = 64 (x²+1)° O (E) None of the choices O y'=24x (x²+1)³ [ 2…

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Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

Q: t? +4r+10 dt 7² + 2r² + 5t

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

Q: ). Determine whether the Mean Value Theorem applies to f(x) 3r + (1,4). -). If so, find the point…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: If z = xe" and x = t2, y = Vt then the value of dz at t = 1 is equal to . dt Select one: True False

A: Solve the following

Q: Let p(x) be a cubic polynomial with p(7) 0 and p(14) < 0. What can you say about the number and…

A: In this question we have to find the number and locations of zeroes. Note: As per our policy we are…

Q: 1. 9. 2

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Q: Q9. Solve (x3 + уз)dy + x2y dх %3D0

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Q: X-1 2. Evaluate dx. Show all steps of partial fraction decomposition. (x+5)(x+3)

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Q: Find a number within the interval [-5,5] such that the sum of the number and the square of one less…

A: Let, the number is x. The sum of the number and the square of one less than the number, S=x+(x-1)2

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

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Q: arccos(cos)

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