Given the function  y = 5 arcsin(x),  find  y'.

Q: 3. +ANIA (3x - 1/2 + sin x) dx

A: As you mentioned question no. 3 solved

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) n = 4, c = 2 +2² P4(x) = = =

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Q: PLEASE ANSWER:  Find the number in the interval [−1, 1] such that the sum of the number and its…

A: To find the number in the interval [-1,1] satisfying the given conditions.

Q: 3-Given the points A(4, 7, -2) and B(-2, 1, 6): a) Find AB and express AB in terms of i, j,K.?(..

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Q: Solve the initial-value problem. x' + 7x = e-7t x(t) =| X cos(t), x(0) = -1

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Q: First find the equation of a plane through the point (4, 2, 1) with normal vector = 3i - 2j+ 4k.…

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Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 5 about the x-axis.…

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Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

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Q: Show tha

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Q: Find the root of f(x)=(x^2)-5, in interval [0,4] by using bisection method.

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Q: 7. A 25 kg mass is suspended from a ceiling by two cords. The cords make angles of 45° and 70° with…

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Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…

A: Future value of a investment amount P, rate of interest r  and time t in years(a) if it is…

Q: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: Find the capital value of a fort at a strategic location, where the annual rent is $950,000, paid in…

A: Given, Annual rent=$950,000, interest rate=8%=0.08

Q: = C₁e^ + c₂e^, (-∞0, ∞0); y" - y = 0, y(0) = 0, y'(0) = 5 ex- 25e-x X

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Q: Find the first derivative j 27 (x+2)³(2x+7y)² (y is a constant)

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

A: see below the answer with explanation

Q: 2.(D5 – 2D³ – 2D² – 3D — 2) y - - = 0

A: To solve the higher order differential equation.

Q: . Determine if AABC is a right-angled triangle, given A(1, 6, −2), B(2, 5, 3), and C(5, 3, 2).

A: Find the squares of all the sides of the triangle and then observe them

Q: What is the coefficient of the second term in a binomial that is raised to the sixth power?

A: Given.

Q: Find the equation of the plane having the points P(1, 2,5), Q(-2, 0, 1), and R(-3,-4,1). 8x + 2y 5z…

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Q: Evaluate the following: 1. [ sinh(4)dæ

A: Application of integration

Q: (3+h)¹-81 The following limit limh→0 h represents the derivative of some function f at some number…

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Q: О к The area of the bounded region below is ec x2 C X²

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Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 8. (Use…

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Q: (1+x² +C B [2x (1+x) dx-A)- 11 10 11 f(x)=x+cosx, xe [0,7), then the function has an inflection…

A: from graph  stationary point: point of function is a point where the derivative is equal to zero .…

Q: B. Solve the following integrals. 즈 2.) fevdxdy

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Q: Find the derivative of the function. <-2 g(x) = (7x² - - ² 4 4x + 7 g'(x) = 2 ((7x²-4) (28x²…

A: g(x)=7x2-44x+7-2 Chain rule: f(u(x))=f'(u(x))·u'(x)

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: Given problem:- Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours…

Q: 022) Find the range for the function f(x)=2+3√4-x A(-0,2] Cos r 023) lim- A) DI 2x-z C) 0 TIN Di 1

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Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

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Q: TL (3x −2+ sinx) dx

A: The given integral,         ∫-π4-π23x-1x2+sinxdx

Q: Fill in the blank. (Note: The notation x→ c' indicates that x approaches c from the right and x → C…

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Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t + 32) sin(t)dt

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial…

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Q: = 0? 5. Which of the following is a normal vector to the plane Z = a. C. n = (1,1,0) 72 = = (0,1,0)…

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Q: $500 at 5% compound continusouly for 11 years. Round to the nearest cent

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

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Q: Q2: dy du (A) Show that if y=csc(u), then -csc(u) cot(u) dx dx

A: SOLUTION-

Q: Explain why the function f(x)=3x+2/x²+5x+3 has no vertical asymptotes.create a rational function so…

A: Given function has vertical asymptote

Q: Find the derivative of y= 25 + 14.

A: Topic = Derivative

Q: 5. (a) Use Newton's binomial theorem to calculate √50 with 4 terms.

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Q: 4. h(x, y) = xe +y+1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A circular swimming pool has a diameter of 24m, the sides are 5m high, and the depth of the water is…

A: Question is solved.

Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

A: Let's find volume of solid.

Q: Find the value of x if O 1.84 O 1.77 O 1.32 O None of these O 1.52 metazaf =7

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Q: Given the vecor-valued function R(t) = cosht i ln(t+1) j+et k, find lim h→0 R(0+ h) - R(0) h O…

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Q: -TL 4.) x² sin(xy) dydx

A: Given ∫0π∫01x2sinxydydx

Q: 7. S d.x 25x²+36

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Q: 4- Given U=[2,2,3] and v=[1,-3, 4], and w = [6, 2, 1], evaluate the following expressions) |uxu +…

A: If you have any doubt feel free to ask.