At the beginning of every three months, a college student deposits P3,000 in a fund that gives 2% compounded quarterly. If he intends to use this money for his graduation, how much money does he have in 42 months? Blank 1

Q: 88-91. Working with area functions Consider the function f and its graph. a. Estimate the zeros of…

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Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =…

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Q: Function f(x) Derivative f'(x) et aª In(x) Function f(x) Integral f f(x)dx 66

A: Topic = Derivative & Integration As per guidelines , At a time only three su-parts of a question…

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

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Q: (t-7)^7s'+8(t-7)^6S=t+7,t>7 The solution s=?

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Q: 10). Use the Integral Test to determine whether the sum converges. ∞     n = 1 n 9 + n2 Evaluate…

A: Since, the given series is ∑n=1∞nn2+9Our Aim is to evaluate the integral given below:-∫1∞xx2+9 -(i)

Q: Use Theorem 7.1.1 to find (f(t)). (Write your answer as a function of s.) f(t) = (t + 1)² 2(1(0)) =

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Q: The graph of f(x) is shown (see figure). 5x √2+7 (a) Find the following limits. Llim f(x)= 5 K- lim…

A: We have to determine x1, x2 , M and N.

Q: Find given that dt x² + y² = 2x+4y, x = 3 y = 1, and dy dt i dx dt

A: SOLUTION-

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Q: State whether the given p-series converges

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Q: Find the specified nth term in the expansion of the binomial. (x + 2z)?, n = 6

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Q: Use the given conditions to determine which graph below is a possible graph of the function f(x).…

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Q: cm min A spherical snowball is melting at a rate of 5.9- snowball's volume is 972 7 cm³? The radius…

A: Take the volume of sphere and derivate it with respect to t and then put values

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Q: Find the area shared by the circle r=1 and r=2cos(theta)

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Q: A first order differential equation involving current i in a series R-L circuit is given by: di/dt…

A: Laplace transform

Q: The critical numbers z = 1 and x = -2 are found from a continuous function f' (z). Given that the…

A: The Solution is given below

Q: Use the Laplace transform to solve the given initial-value problem. y""+ 2y" -y - 2y = sin(4t), y(0)…

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Q: Find the centroid of the region bounded by the given curves. x + y = 30, y = 0 1) y = x³, x+y= (x,…

A: Given y=x3 x+y=30 and y=0

Q: Find the horizontal asymptote, if any, of the function below. If there are none, select "none" y =…

A: Topic = Functions

Q: Find the unit tangent vector to the curve at the specified value of the parameter. (-)- II r(t) = 3…

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Q: Find f'(x) and f'(c). Function f'(x) = f'(c) = f(x) X-7 Value of c c = 1

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Q: Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer.…

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Q: Find f" (1/2) when f(x) 2x+3. Round your answer to three decimal places.

A: To find f''12, when fx=2x+3.To round the answer to three decimal places.

Q: I. Solve for the General or Particula 1. dy dx = 3x+xy² y+x²y

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Q: A graphing calculator is recommended. Consider the function. f(x) = 9x² - 1, x = 1 to x = 2 Find the…

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Q: Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and…

A: Let's find amount of accumulated FV.

Q: Find the inverse Laplace transform of the given function. 7! (s — 5)8 NOTE: Express your answer in…

A: The give Laplace transform is Fs=7!s-58

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (3t-1)³ L{f(t)}

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Q: T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q = -50x +…

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Q: Find the absolute extrema of the function on the closed interval. f(x)= 3x²+2, [1, 2] 0,2 minimum…

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Q: Evaluate the definite integral. '7 l'e e-x dx

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Q: Verify the identity. (Simplify at each step.) 5/2 sin 1/2 1/2 sin X COS X - X COS X - sin 5/2 sin X…

A: Here we have to verify the identity.

Q: I) Evaluate the following expressions. 17 TT 9 1) sin-1 COS

A: Given, Sin^-¹(cos17π/9) Sin^-¹(sin( π/2 -17/9) π/2-17π/9 18π-34π/18 -16π/18 -8π/9

Q: Find the specified nth term in the expansion of the binomial. (x - y)², n = 2

A: We need to find nth term.

Q: Find the direction of . The temperature at the point (x, y) on a metal plate is 7- greatest increase…

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Q: Use the integration capabilities of a graphing utility to approximate the volume of the solid…

A: we know that Volume of solid generated by revolving thr region about  x axis =∫ab  π y2 dx

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Answer of the above differential equation is

Q: Suppose (-3,6) is a point on the graph of y = g(x). (a) What point is on the graph of y = g(x + 6) -…

A: Given the point (-3,6) is a point on the graph of y = g(x) It means  6 = g(-3).

Q: 45-50. Approximating real numbers Use an appropriate Taylor se- ries to find the first four nonzero…

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Q: Find for || y(x) =tan(x)

A: y(x)=tanx Now, dydx=dtan(x)dx      = sec2(x) Lets find the second derivative.

Q: Use the model A = Pet or A = P1+ for / years. nt , where A is the future value of P dollars invested…

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