Answer last three

Q: Consider the function Compute f"(x). X = 66²⁰ - f(x) = -3t²- f"(x) = -4t+ 3 dt.

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Q: 2. Write the equation (do simplify, but do not integrate!) for the arclength of the graph x=e¹y=e²¹…

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Q: 1. Determine if the Mean Value Theorem can be applied to the following function on the the given…

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Q: Compute the given integral. farctan(e)de- - +C

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Q: b)y= 4 x-2 ,(6,1) c)f(x)=√√x+4,x=5

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Q: 9) f(x) = ex log6 X ex x(In 6) A) C) ex (121 X + log6 B) ex x(In 6) + log6 In D) ex 1 = (126 + 1086…

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Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

A: let the length of square is   x meter given  dxdt=4 msec.there for area of square is  A=x×x=x2

Q: Determine the second derivative of the parametrically defined curve represented by the equations…

A: dsintdt=costdcostdt=-sintdydx=dydtdxdt

Q: Question 4 > Suppose I want to make a simple garden with 3 plots (pictured below) out of wood (the…

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy → when x = 1, y = 1

A: Solve the following

Q: 10. Determine whether the following series converge or diverge: (Integral Test) a) En=2 In (n) n 1…

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Q: 1. Solve for G.S. () 24" + 184 = 6 tan 3x

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Q: tan(t)+cot(t) 2. Show that csc(2t) = 2

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Q: Question Determine the second derivative of the parametrically defined curve represented by the…

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Q: Use integration by parts to evaluate the definite integral: 97.18 In (8r+4) dr = 8.92

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Q: | 1 3 2 1 1 To find the blue shaded area above, we would calculate b få f(x) dx Where: a = f(x) = 2…

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Q: Use linear approximation to approximate 1.1 to 6 decimal places

A: GIVEN :1.13

Q: Evaluate the integral by making the appropriate substitution: u = k dx (4x + 1)² = dx ' (4x + 1)² ²

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Q: (c) Study the convergence of the following series n=1 (−1)n+1 2n + (−1)n Is it absolutely…

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Q: Given y=6x2+5x​, find dy/dt when x=−1 and dx/dt=4

A: The answer is given below:

Q: x1 --- X2 X3 X4 x5 (For each question, enter your answer as a comma-separated list, e.g., x1,x3,x5.…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: - If cos(y) = 3 and y is in the first quadrant, find cot²/ 2

A: Given :- cosy=35, y is in first quadrant

Q: ӨР

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Q: Convert the Cartesian equation (x-3)²+(y+1)² = 4 to polar form.

A: Given equation:- x-32+y+12=4

Q: For each of the following repeating decimals, determine the fraction in lowest terms represented by…

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Q: For what values of p does the series below converge? Select the correct answer below: Op=0 Op0 ∞ Σ…

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Q: Evaluate the definite integral: π/2 cos(z) π/6 sin¹(z) L dz = (1/(sin

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Q: y = x = 4t 5, y = 5t + 1. X 2 XX ZA 4 2 -8 ***** -8 …i -6 -4 WebAssign Plot -6 -4 -2 2 2 4 4 6 6 X 8…

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Q: a. (2,2) 6 (131)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 29) y = 2x + 1; [1, 3] 9+ 8+ 7+ 6- 5+ 4+ 3+ 2+ 1 A) 7.5 2 3 4 5 X B) 12.5 C) 5 D) 10

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Q: Parameterize the plane through the point (-1, 1, -3) with the normal vector (4, 1,-2) *(s, t) = (Use…

A: To parameterize the plane through the point -1, 1, -3 with the normal vector 4, 1,-2.

Q: all possible rectangles with perimeter 8.6. Determine which has the maximum area.

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Q: 4. For the function f(x) = 2x² - 3x² sin x + sin x cos x, evaluate ¹₁ f(x) dx

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Q: Given that the graph of f(x) passes through the point (4, 10) and that the slope of its tangent line…

A: ginen slope is  2x+7 passes throught  (4,10)∫xndx=xn+1n+1+cslope =f'(x)=2x+7

Q: Assume that x=x(t) and y=y(t). Let y=x3+5 and dx/dt​=4 when x=3.   Find dy/dt when x=3.

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Q: 2. Let f(x) = x − 2 cos x on the interval [0, 2π]. (a) Find all critical numbers of f(x) inside [0,…

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Q: If one zero of the polynomial (a² + 9) x² + 13x + 6a is reciprocal of the other. Find the value of a

A: Consider the polynomial      f(x) = ax2 +bx+c and let α , β are the zeros of the polynomial then sum…

Q: Evaluate the indefinite integral in terms of f as a function of the given argument. (Use symbolic…

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Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so,…

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Q: Find the slope of the tangent line to: a The parabola y² = 6x at the point (3,2). b The ellipse y² +…

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: Evaluate: [æ sin(x) da =

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Q: Find the reference angle for the angle given below. 4π/3

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Q: Let R be a relation on A = {1, 2, 3, 4}, such that: R4 = {(x,y) / x multiple of y} R5 = {(x,y)/y =…

A: Note : Not able to understand R6.

Q: H m/HIL= L In the diagram, mHGL 164°, and mIJK = 52º. Determine the value for each of the following.…

A: The given diagram is  mHGL⏞=164°,  mIJK⏜=52°

Q: Question 12 Find the Maclaurin series for the given function. sin 5x 8 n=0 O M: M: M: n=0 n=0 n=0…

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Q: 9. Find the asymptotes of the hyperbola 5x² - 4y² = 20 (b) y=+²x (d) y = ±÷x (a) y = ± t NGGIN √5x ४…

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Q: Which of the following is the antiderivative of f(x) = tan (A cos x + cotx + C B -In/cos.x+C (C) D…

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Q: Find the double integral by changing to polar coordinates. (Express numbers in exact form. Use…

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Q: Find the slope of y = ex at x = 0.

A: Given query is to find the slope.