(5+9)4x - (xx) dg = o

Q: 15 / 17 116% C. Directions: Solve for the derivative of the following functions using the indicated…

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Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: This question can be solved using the concept of point of inflection.

Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i+11 sin(t)j + tk; t= T N || ミ|N ミ|N

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Q: Find the area enclosed by the curves y=2x², y=2\/x ,x=- and x = 1 4 (A) 45/51 (B) 49/96 59/76 (D)…

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Q: The best method for finding the antiderivative of / V5 – x²dxis | integration by parts algebraic…

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. ||

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Q: f the limit of the nth term of a series converges to 0, then the series onverges.

A: This is the false statement. So i am providing an example in my handwritten note, so that it'll be…

Q: III. Evaluate 4 - x -dx. V16 – x2

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Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

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Q: 3-x, x + 1 1. Let f(x) = 0, x = 1 Determine the following limit using the graph. limf (x) x-1 6 + 3.…

A: We can answer the question in the below steps.

Q: (x(t), y(t)) = (2 cos(t), 1+ sin(t)). 2. Answer the following questions about the curve given…

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Q: A general equation of conic section is given as y + 4x? + 4(x – 2y) + k = 0. Determine the value/s…

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Q: r the function. (Center your power series r - (Enter vour a nswer using interval notatio

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Q: R={ (x,y): 0<x, 0 y, x²+y? <49} be enclosed region. The result of the following double integral (by…

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Q: Compute the composite functions f∘g and g∘f and discuss their domains, where f (x) =√x, g(x) = 1 –…

A: To compute the composite functions

Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

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Q: Select the expression that is equal to 10P7

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Q: Use the Integral Test to determine if the series n2 n3 +1 n=2 converges or diverges. The series…

A: Explanation of the answer is as follows

Q: 1 The series k=1 10n converges. True False

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Q: B. Directions: Determine whether the following functions are continuous on the given interval. x-5…

A: 1).f(x)=x-5x2-x-6f(x)=x-5(x-3)(x+2)⇒Function is discontinuous at x=3 and -2And 3∈(-1,3)Therefore…

Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

A: Solution in step 2

Q: (1) [. | Solve the initial-value problem y" – 5y + 6y = 0, y(0) = -3 and y (0) = 2 %3D %3D %3D

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Q: Determine whether the geometric series is convergent or divergent. If it converges, find its sum. 80…

A: Geometric Series : (3/4)0 + (3/4)1 + (3/4)2 + (3/4)3 + (3/4)4 + ........... 1 + 3/4 + 9/16 + 27/64 +…

Q: Evaluate the indefinite integral. Sa V1 – x? daæ - cos° 0 – cos' 0 +C } (1 – a²)%/2 – }(1 – 2²)/² +…

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Q: Use your calculator to estimate the arc length of y = x“ over the interval [1, 2]. -5 (2, 4) (1, 1)…

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Q: Verify Green's Theorem by evaluating both integrals v dx + x* dy = // aN ƏM dA ду əx for the given…

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Q: Write the general equation for the circle that passes through the points: (-1, 2) (4, 2) (- 3, 4)…

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Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: a) lim f(x)= b) lim f(x)= c) lim f(x) = d) value(s) of x for which f(x) is discontinuous

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Q: vertices (0,0), (0, 4), and (5,0).

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Q: n? n5 +2 n=1 WI

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Q: A particle moves with acceleration a(t) = 10 sin t + 3 cos t, s(0) = 1, v(0) = 2. Find s(t).

A: We have to find s(t)

Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

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Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

A: slope of the line passing through the point  (x1 , y1)  and (x2,y2) is m=y2-y1x2-x1

Q: Find the radius of convergence of the series 2" n=1 O 1/2 O 2 O1 O infinity

A: Explanation of the answer is as follows

Q: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

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Q: Solve the initial value problem y" – 6y' + 25y = 0, y(0) = 2, y'(0) = -3. %3D

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Q: Question 4 of 10 m(x) = sec²(e2r+1) %3D Select the correct response. 20+1 sec(e2r+1) tan(e2r+1)…

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Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

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Q: Provide a step-by-step solution to the following differential equation (linear quation) 2(2xy + 4y…

A: To solve the following linear differential equation.22xy+4y-3 dx-x+22 dy=0

Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

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Q: 12 cos ti + 7 sin tj – k It is an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of…

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Q: At which r-value(s) does the function f(x) = x³ – 3x² – 9z +4 have a local maximum? (A) 0 -1 and 3…

A: Given,  f(x)=x3-3x2-9x+4

Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

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

Q: tan 0 =-1, 0 in QIV

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Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

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Q: Provide a step-by-step solution to the following differential equation (linear quation) y' =…

A: The given differential equation is; y' = x-2ycot(2x).

Q: 17 ind the Maclaurin series for f(x) = 1+x

A: Follow the procedure given below.

Q: Solve the initial value problem y" - 8y' +52y = 0, y(0) = 1, y'(0) = -3. %3D

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Q: Find f'(x). f(x) = (5x + 7) (1 – V)° 105(5x + 7)° (1 – Vã)° f'(x) = 3(5x + 7)' (1 – Va) f'(x) =…

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