Given: y = xcos (x); Find y". O y" = xsin (x) - 2 cos(x) %3D O y" = xsin (x) + 2 cos(x) O y" asin (x) – 3 cos(x) %3D

Q: ors in 2-space that make an angle of 45° with answers in terms of i,j and k.

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (10, 0) Vg(10, 0) =

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

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Q: 3. y = V x - 1. х — 5. у — 0. теvolved at u aris

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Q: Answer the following questions. Show your complete solution. 1 Find the general form of the equation…

A: As per the company guidelines we are supposed to answer only first question.Kindly repost the other…

Q: What is the area of the region bounded by the graph of r2 16 cos 20? (Choose all applicable…

A: The curve r2=16 cos 2θ

Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

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Q: 12. 5 In(3x) dx 5ln (3x) + C 4

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Q: 4х-2 y = Зx+4

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

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Q: Area = 2 Area = 1. Area = 3 3 5 7 Area = 7 Graph of f' The figure above shows the graph of f', the…

A: Note : As per our guidelines we are supposed to answer only three subparts if there are multiple…

Q: n(n + 1)(2n + 1) 3. Le n be a positive integer. Use induction to prove || 6 j=1

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Q: 2. f(x) = x² - 5x + 6 A. x = 1 B. x = -3

A: This is a problem related to limit and continuity parts of the calculus. Based on the general…

Q: A mdc.blackboard.com B Content Question Completion Status: 10 20 3D 4 50 7 10 11 120 130 14 Find the…

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Q: 3. f(x) = (1+x + x² + x*)!5

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Q: V4 - x 8. g(x) = at x = 0 %3D

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Q: Consider the series Σ (x – 8)4 5- 2! (x – 8)6 25 · 3! (x – 8)8 125 · 4! an = (x – 8)² + +... n=no…

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Q: 3. Let u =x² – 2xy+2y' with x = s´ · Int and y = 2s ·t° . au au and at Find as

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

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Q: Find the directional derivative of f at P in the direction of a. f(г, у, 2) — гу + 2?; P(5, —4, 3);…

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Q: answer

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Q: 4x2 8(7x – 4) x(x+ 8)(x – 2) (x + 2)³ - f(r) = with f'(x) = and f"(x) = %3D (x + 2)2 (x + 2)4 a.…

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Q: The minute hand on the backwards clock rotates counter-clockwise 60 times as fast as the hour hand…

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Q: rection: Determine if the given function is continuous and differentiable at the indicated values of…

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Q: dy Q7. Find y" from the equation dr? %3D ry – y = x. (HINT: First differentiate both sides of the…

A: Let us consider the equation, ax+by=x By Implicit differentiation we get, a+bdydx=1

Q: Whiteboard 21208780-7052-8916KS Rm 3 ebaut x- Gais ーズ+ メx

A: Given problem:- y=-x2 +2x, y=0  Volume using disk method about x axis

Q: Using algebraic substitution, differentiate the following |2+ Vx dx

A: Note: Since, the student has made an typing error by writing "differentiate" in place of "integrate"…

Q: I +1 5. h(a) at x = 1 x2 – 1 -

A: Factorize the denominator.

Q: Exercise I f(1, y)yz (a) Let f(r,y) = rỷ - . Then deduce that f(1,y)zy (Clairaut's theorem). %3D

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Q: Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial…

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Q: Let a = ci + j and b = 12i + 16j. Find c so that the angle between a and bis- Round your answers to…

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Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

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Q: af Find a d () + In (). of the function f(x,y) = arccot and ду

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Q: Consider A = ⟨0, 4, 2⟩ ,B =, ⟨6,−1, 0⟩ and C = ⟨3, 0, 1⟩. (a) Find the unit vector having the same…

A: Given vectors A=0 , 4 , 2B=6 , -1 , 0C=3 , 0, 1

Q: If sin(x) = 1/3 and sec(y) = 5/4, where x and y lie between 0 and x/2, evaluate the expression using…

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Q: 5 In(3x) dx 5ln (3x) +C 12. 4

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

A: Given :a) Oppositely directed to v=3,-12 and half the length of v.To find : w=(?, ?)b) Length 2 and…

Q: 1. Which of the following statements is true? (A) The series (-1)"+1, diverges by the alternating…

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Q: 3 4. f(x) = x - 5 A. x = -1 B. x = 2

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Q: Evaluate the integral of: * dx x2 – 2x + 50 arctan (x - 1) + C arcsec (x - 1)/7 + C O 7 arcsin (x -…

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Q: Salve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y=…

A: Let's find.

Q: 6dz S(VE – )dt

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Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A: Given,  x''+3x'+2x=4t2, x(0)=x'(0)=0

Q: Barbara boards a Ferris wheel with a 50-foot radius. The center of the Ferris wheel is 60 feet above…

A: Given information:…

Q: Which of the following is not a p-series? (A) 2 -4 n n=1 (B) n n=1 1 (C) ne n= (D) en n=1 8. 3.

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Q: 1. Find the interval and radius of convergence for (x-2)" 1. Find the interval and radius of…

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Q: 11. Let b be a real number with b > 1. Determine whether > 1 converges or diverges. As part 1+ bk…

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Q: у" + 6у' + 10у %3D 1, У (0) %3D —1, y'(0) = 2

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Q: Part I х2-9 1. lim х>з х-3 х2+5х-6 2. lim X→1 х2—1

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Q: Find the derivative of the function described. (Rx5) 1. у %3D (2х + 3) (5х — 4) y = | Зх-1 2. f (x)…

A: Let's find.