dx 6. S; ezx+1

Q: Find an equation of the plane that passes through the point P(-8, –3, 7) and has the vector n = (-8,…

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Q: Find a complex number z such that |sinz|>1

A: We have to find a complex number z such that |sin z|>1.

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Šolve the following problems completely and accurately. Part 1: Solving Differential Equations (1)…

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Q: Find the solution. dy 2y + dx -=x²y²sinx 1 (A) y = х? (sinx - c) B y = x ( sinx +c) y = x²(cosx+c)…

A: We have to find solution of given D. E.

Q: Find the value of § cot³(x) cosec“ (x).

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Q: M3.4 Integration by Partial Fraction Decomposition 6x-7 dx 7.J (2x+1)(4x²+1)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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

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Q: If A = and B = find AB, BA, A? = AA, and B2 = BB. (If an answer does not exist, enter DNE into any…

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Q: /9-y dy

A: We have to integrate.

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

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Q: Part 2. Math column A to column B by finding the slope of tangent line at any given point and write…

A: Note :- These are multiple sub parts questions and according to our company guideline we can do…

Q: Determine the interval(s) on which the function is continuous: 2r+ 7 212-3x-9 if x 1/2 Ox1/2 Ox1/2…

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Q: S sin x In(cos x) dx

A: Given problem:- ∫ sin(x) ln(cos(x) dx

Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

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Q: ar +b. 2r' - 1, f(z) = I>3

A: The given function,fx=ax+b,x≤32x-1,x>3

Q: Given the graph of y=f(x) below, at which of the marked x-values can the following statements be…

A: To answer the given questions using the given graph.

Q: Let f(x)=4x^2−4x^4. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: Find the directional derivative of f(x, y) at P(5,0) in the %3D x + y direction of Q(3, –3). NOTE:…

A: f(x,y)=20x+y

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

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Q: -C

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given: 2x+5y=-7; x-38=y2=z-714 Let, x-38=y2=z-714=t ⇒x=8t+3; y=2t; z=14t+7

Q: (1) Find the equation of the curve given the slope of its tangent line (mr) and the point P(a,b)…

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: x - y +2z =4 x - y +2z -4 = 0 compare with equation Ax +By +Cz +D =0 A=1 B=-1 C=2 D = -4 point…

Q: х3+9х2+20х 4. lim х-3+ х2+x-12

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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: Evaluate the following integral using trigonometric substitution. dx b. S V(5+2x+ x²)5

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Q: A. Integration By Parts 1. ſx5Vx3 + 1 dx 2. S/* x sin 2x dx 3. S- x³ex? -dx (x2+1)2

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Q: EVALUATION Directions: Find the derivative of the following functions. Choose the best answer from…

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Q: whetr he se linea bendent or linea dependent. S - {(-5, -3, 6), (2, -3, 1), (9, 0, 0)} O linearly…

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Q: Write TRUE if the statement is true, otherwise, write FALSE. 4. Suppose P and Q are both…

A: We have to find statement is true or false. In mathematical logic, a tautology is a formula or…

Q: (29.4) Determine whether the series (-1)"-1. n2 + 1 is absolutely convergent, condi- n=1 tionally…

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Q: The function f(t) = 4(1.5)' determines the height of a sunflower (in inches) in terms of the number…

A: Since you have asked multiple part question, we will solve the first 3 sub part question for you as…

Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. L1 :x = 1 + 7t,…

A: If line L1​ and L 2 are not parallel and not intersecting, then this lines must be skew.

Q: Find Duf at P. f(x, y) = sin(4x – 2y); P(2,4); u = i j - NOTE: Enter the exact answer. Duf :

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (– 10,…

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Q: Find the vector component of v = 2i – j + 3k along b = i + 4j + 8k and the vector component of v…

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Q: Evaluate* e/x dx. x3 1 1 еx 1 ex 1 еx + с + ex + c - Option 3 Option 2 1 ex 1 еx 1 еx + с + ex + с -…

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Q: 8. Ssin(1 – Int)dt

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Q: 3. Find the area of the region in the first quadrant that is enclosed by the coordinate axes and…

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Q: Solve the differential equation by variation of parameters. 2y" — 4y' + 4у %3D е* sec x y(x) = %3D

A: Solution is given below:

Q: f(x+Ax)-f(x), Ff(x) = v2x + 1, what is the lim Дх--0 Ax

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Q: Find the area bounded by the curves y=8x-x2 and y=x2, and the line 4x-y=-12.

A: I have appended the formula used in the solution part.

Q: 4. If E-1X = 60 and E-1 x = 90, find each of the following: E(x - 7) a. b. Σ-7 E(xi + 2) C.

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (4, 5) a = 3 b = 1

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Q: (the trace of A). Prove that T is a linear transformation. Let A and B be to matrices in M, and let…

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Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the…

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Q: Question Is S (;x² + 5x + C)dx = 3x + 5 correct? %3D CLAIM EVIDENCE REASONING

A: ∫  3x2/2 +5x +cdx now integrate it 3x3/6 + 5x2/2 +cx +c x3/2 + 5x2/2 +cx +c this is the answer  so…