A ball is thrown vertically upward with a speed of 15 m/s. Determine the maximum height and the time to reach that's height 11.46 m , 1.526 s 7.82 m ,3.06 s O 22.81 m , 5.78 s O

Q: 2(- 1)"- n²+ 4 n – 1 n=1 n²+3

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Q: Prove that f(a) = (z - 1)² + (x + 1) is an even function.

A: The given function,   f(x)=x-12+x+12

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A: We can solve as follows

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Q: a) Determine whether the series 11n? + 8n + 32 is n³ + 3n² – 7n+ 1 n=1 convergent or divergent. b)…

A: !) The given series is: ∑n=1∞11n2+8n+32n3+3n2-7n+1 Let, an=11n2+8n+32n3+3n2-7n+1; n≥1& bn=1n;…

Q: Question 14 Use part I of the Fundamental Theorem of Calculus to find each derivative, given the…

A: Given query is to find the derivative of the expression.

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Q: If f(x) is integrable on [a, b] , then f(x) is continuous on [a, b] . O True O False

A: Given statement:If fx is integrable on a,b, then fx is continuous on a,b.We need to check the…

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Q: Evaluate the integrals in the following questions using integration by parts For |0 cos cos T0 do

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Q: Solve the following indefinite integral. Show complete solutions. 1. S (9z² + 14z – 2) dz -

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Q: a. For the given value of n, use sigma notation to write the midpoint Riemann sums. f(x) = cos 2x…

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A: Follow the procedure given below.

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A: answer is in next step

Q: (x- 2)² , (y-6)² Problem #4: Find the slope of the line tangent to the conic section =1 at 16 25…

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Q: 8. 1 is convergent or ) Use the Integral Test to determine whether the series divergent. "(Зп — 1)?…

A: To determine whether the series is convergent or divergent.

Q: 2n +3 an %D 5n+8 hen the series an n =1 is divergent Select one:

A: Given query is to find series converges or diverges.

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Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)…

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Q: Evaluate the integrals in the following questions using integration by parts For 0 cos T0 de

A: By Parts Rule: ∫u(x)v(x) dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: Find !V1-cos xdx 2 sin x = 1- COS X V2(-cos x/2)+ c 1/ /2(-cos x/2)+ c В. 2/2(-cos x/2)+ c С.…

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Q: For j(z) = (3x2 - 7) (-2x* + 7x), find j' (x) by applying the product rule. Provide your answer…

A: j(x)=(3x2-7)(-2x3+7x) The product rule is: (fg)'=f'g+fg' From above:  f(x)=3x2-7g(x)=-2x3+7x Now,…

Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

A:

Q: Obtain the general solution unless otherwise instructed d²y 1. dr? - y = 10sin²x | dx2 SUMMARY OF…

A: Given differential equation, d2ydx2-y=10sin2(x) So corresponding homogeneous equation, d2ydx2-y=0

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A: Topic:- exponential growth function

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Q: Scos | cos 3x cos 4x dx :

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Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. a. te-3t +…

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Q: Find the integral of f(3x2 + 4x + 1)*(3x + 2)

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Q: (b) Solve the following first-order ODE xy'y=2x* +2y*

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Q: 1 + x² – 4x + 3 lim T→1- T2 – x

A:

Q: f(x)dx = 12, g(x)dx = 6, f(x)dx = 6, and g(x)dx = 2. Evaluate the following integrals. Saman = 2…

A: Given:       ∫27f(x)dx=12 , ∫27g(x)dx=6       ∫67f(x)dx=6 , ∫26g(x)dx=2 we can write as…

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Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

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Q: xe dy + *+1 dx = 0 ㅇ (1- y) e" + 빨고 =C O (y – 1) ev + + In a = C 2 O - (y + 1) ev - + In r = C O 2y…

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Q: メ xペー4メt

A: Given: I=∫xx4-4x2+43dx  ....(1)   The Power rule: ∫xndx=xn+1n+1+C

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Q: Find the solution of each inequality in the interval [0, 27z). (Enter your answers using interval…

A: In the interval: [0, 2π)a)sin(x)≥0.5first and second quadrant.x≥π6,…

Q: -3 3- Given A= 귀and B= 1 11. Solve 2X+A=B for X.

A: We have to solve for X.

Q: Determine whether the function is continuous or discontinuous 5. f(x) =

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Q: Given the following vector field and oriented curve C, evaluate F•T ds. F= (-6y,6x) on the…

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Q: (a) Suppose f is a function with domain the interval (a, b) with a < b. If f is an even function,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 6. Solve the differential equation: 2хydx + (x? - 1)dy -D 0 A. x'y - 1 = C B. x*y - y = C С. x' y =…

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Q: Find the equation of the plane passing through the three points A = (-1,0,2), B= (2, –1,2), C = (3,…

A: Given problem:- Find the equation of the plane passing through the three points A = (- 1, 0, 2) B =…