An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0 ft/sec. On the moon, the acceleration due to gravity is 5.2 ft/sec², so d's dt² = -5.2 ft/sec².

Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina

A: General equation of differential equation.

Q: Calculate the future value of end- of-month payments of $500 made for 4 years into an investment…

A:

Q: 0. The equation 7(x) = 40cos(x-10)] + 160 describes how an element in a fur cyclically, where x is…

A: topic:- function

Q: Find the integral of the following indefinite integral equations: Jx dx / (5 + 9x4) Jx dx/v(16-9x4

A:

Q: f(x)=2x-7 and g(x) = -18 Given (a) Find (fog)(x). (b) Find (gof)(x). (c) Is the operation of…

A: Given :fx=2x-7gx=1x

Q: dz - 6² 7 4 16 + Consider the integral 7² +16 du ONI - S = (2-16) a) I= /0 du O b) I 117 So u (u -…

A: Given :I=∫01dz7z+16

Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: To find how far above the ground the kite is flying.

Q: If f: R → R is a function such that f'(4) = f'(8) = 0 and f"(x) = 18x - 108 so, f(m) is a local…

A:

Q: 10. Find the 87th derivative of y = cos(2x) at IT

A:

Q: Since the creation of a social program, the percent of persons 65 years and over with a family…

A: Here we have to us ethe given function.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. X = =…

A:

Q: Find the slope of the line, and sketch its graph. 7x-6y=42 Find the slope of the line. Select the…

A:

Q: Find the derivative of the following function. Factor fully and simplify your answer so no negative…

A:

Q: Question 4. Determine if the series Σ n=1 5n+1 7-2 converges or diverges. If the series converges,…

A: We have to find the given series is convergent or divergent  , if the series is convergent give its…

Q: 6. Find the radius of convergence and the interval of convergence for E-0¹ (x-2)".

A: 6. The given power series     ∑n=0∞12nx-2n

Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

Q: Use the matrices below to perform the indicated operation if possible. 6 B-[-3.0-[1] C [89] -4 = If…

A: Performing the indicated matrix operation

Q: S x² e¹x dx

A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A:

Q: I. Integration by Parts. Evaluate the following integrals. [cot-¹ a 1. rdr

A:

Q: prove the following properties of the laplace transform, knowing that L{f(t)} = f(s)

A: Prooof of the above properties of laplace is given by

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 12] r 2 X…

A:

Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

Q: Find f if f"(t) = 2e¹ + 3 sin(t), f(0) = −4, ƒ(ñ) = 9. f(t) = 2e^t-3sint-6

A:

Q: x² - xy (x,y) (0,0) √√√√y If it exists, find lim Answer: .Write DNE of the limit does not exist.

A:

Q: Find fæxyzz for f(x, y, z) = z³y² ln(x). [Show your solution.] Select one: O O O x² 6z²y x² 2z³y x²…

A: See this solution in below.

Q: By using partial method solve [ 2x² cos x dx

A:

Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…

A: This question is related to derivative, we will solve it using given information.

Q: Solve equation: 4 sin x + 3 cos x = 5

A:

Q: Use the matrices below to perform matrix multiplication. BC= If the operation is undefined, enter…

A: Here we have to do matrix multiplication.

Q: Find the largest open interval where the function is changing as requested. 24) Increasing…

A:

Q: In Exercises 101-108, assume that each sequence converges and find its limit. 101. a₁ = 2, an+1 102.…

A: The objective of the question is determine the limit of the given sequence.

Q: 11.Sketch the graph of the region D and evaluate the double integral y dA, D = {(x,y)| 0≤ x ≤ ¹,0 ≤…

A: The region D is bounded by the below curves:x=0 to x=1; y=0 to y=x3.

Q: Consider the following equations. 1 x² O 6 Sketch the region bounded by the graphs of the equations.…

A: topic - area bounded by curves

Q: T₁ 0 1+e²x dx Hint: e²* = (e*)²

A:

Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [0, 4]. Vertical…

A:

Q: 10. Find r(t) if = (4t3+ 4t)i + 6tj + 3t²k, r(0) =i+j.

A: We have to find out r

Q: 2) A: By using partial method solve [2x² cos x dx

A:

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A: There are two planes on the XY axis.We are at the origin.  Plane X: The first plane is due west of…

Q: Show that there are no tangents to the curve f(x) = 6x3 + 2x2 that have a slope of -5.   Please…

A:

Q: Evaluate f"(c) at the point. 9) f(x) = In (4x - 3), c = 1 10) f(x)=3x2-3, c=1 3x - 4 11) f(x)= 4x-3'…

A:

Q: *²+√** dx x2

A:

Q: Find the limit of the function lim_4-√x²+7 X - 3

A:

Q: Find the area bounded by r = cos 0 for -π/2 ≤ 0≤π/2. 2. Find the length of the r(t)= , 1 ≤t≤ 5 .…

A: We have to solve Questions 12.

Q: Solve the initial value problem y″ + y = 0, y(7) = 8, y′(π/3) = − 16 y(t) = √√3cost + 8√√/3sint y(t)…

A:

Q: The following information is given. f(3) = 5, f(3) = -2, g(3)=2, g(3) = 7 f(5)=3, f'(5)=-1,…

A:

Q: A region bounded by f(x) = √√√x + 3, y = 1, x = 1, and x = 4 is shown. What is the volume of the…

A:

Q: Classroom activity 9.1 the monthly income earned by each of the following workers paid by the hour…

A: We have to determine the monthly income.

Q: Which of the following represents the region of the complex plane defined by |z−2i-3| ≤2? (A)…

A:

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 4 + xy - x - 2y, D is the…

A: