Evaluate the integral. 4 [ f(x -4 f(x) dx where 4 ) = {16-; f(x) = if -4 ≤ x ≤ 0 16x² if 0 < x≤ 4

Q: 2. Let g(x) = arctan(x²) — ln(1 + x¹). Find the equation of the line tangent to y = g(x) at x = 1.…

A: Given:- gx=arctanx2-ln1+x4

Q: f(t) f(t) = 0,73t³ — 2.² +0,6-and-g(t) = 0,17² - 0,5t + 1.1--1

A: see below the graph

Q: Investing: Inverse ETFs (Exchange Traded Funds) Inverse ETFs, sometimes referred to as "bear market"…

A: It is given that, The total amount invested in MYY, SH and REW is $10,000. Let the amount invested…

Q: 2. A population y grows according to the equation dy the population doubles every 21 years, then…

A:

Q: Direction: Analyze the given problem. Show your complete and detailed solution (Given, Unknown,…

A: Solution: Given data, Let the width and length be x and y respectively. area = 2000 Sq.ft.…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Please see the below picture for detailed solution.

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

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Q: If position is given by p(t) = -1² + 5t, what is the veloci v(t) at t = 2? ov(2) = 2 ov(2) = -1

A: note :- since  you have asked multiple asked questions but accoeding to bartleby  guidelines i unly…

Q: Find all values of z at which the graph of f(x) = 2³² +42² +7 has a point of inflection.

A:

Q: Consider a price-demand model for tickets to see a specific hockey team play. The price p of a…

A: Given cost function C( q ) = 54q + 50000demand function p = 148-0.01q

Q: 13. Suppose AB = AC, where B and C are n x p matrices and A is invertible. Show that B = C. Is this…

A: To prove B=C when A is not invertible.

Q: -Calculate the minimum for the function f(x, y) = 2x² + 2x^² - xy

A: According to question,Given Function,fx,y = 2x4 + 2y4-xy

Q: Assume that the given figure is the graph of f'. nu 1 2 3 4 Identify the true statements. 5 6 f (0)…

A: Given graph of derivative of function

Q: Translate the given matrix equations into a system of linear equations. (Enter your answers as a…

A: Given, 01911-500xyzw = -25

Q: Find the general solution of the given differential equation. y'' + 18y' + 81y = t−2e−9t,   t > 0

A: Given

Q: 11. Find the maximum and minimum values of the function f(x, y) = 3x + y - 4 on the curve ² + 2y² =…

A: To find the maximum and minimum values of the function. fx, y=3x+y-4 on the curve x2+2y2=38.

Q: Find the volume V formed by rotating the region enclosed by the curves: y³ = x and x = 4y with y ≥…

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Q: - y² = 4 in the first quadrant.

A:

Q: F Find the dimensions of the rectangular box with largest volume if the total surface area is given…

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Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves: y = x²/9, x =…

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Q: -5 -4 -3 -2 1 1 2 3 4 56 1 interval(s) on which f is increasing. (Enter your answer using interval…

A: We  will find the required.

Q: lim X-70 3√√x+1-1 X

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: The solution is shown below-

Q: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 40 km/h and ship B is sailing…

A:

Q: Find a point c satisfying the conclusion of the MVT for the following function and interval: f(x) =…

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Q: ex \e=-2) (e²+1) dx

A: To find integral

Q: A ternary digit is either 0, 1, or 2. How many sequences of five ternary digits are possible…

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Q: Use the chain rule to find and , where First the pieces: 器 Әх Əs ду Əs || dt - || || And putting it…

A:

Q: The graph of the derivative f' of a function f is shown. ہتا 2 y = f(x) X 6 (a) On what intervals is…

A: If a function f has a local maximum or local minimum at x= k  then f'(k)=0 A function f is…

Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

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Q: S₁ 9 $₂ = 81 X $3 $4 55 9 Σ; 27-1 n = 1 = X

A:

Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: The number of bacteria in a flask grows according to the differential equation dy/dt=0.09y In this…

A: The given data is: dydt=0.09y

Q: 2: Find: L-¹ [- S3 1

A:

Q: 4. By changing the order of integration, evaluate IS rdx) a rdra parccos(y)

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Q: Derivatives exponentials

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Q: The first five terms of the sequence tn = 6(-1)n-1 are....

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Q: The slope of the tangent line to the curve In (xy) = y² — 1 at the point (1, 1) is m =

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Q: Solve the differential equation y" + 3y' = 4x-5 by using the annihilator approach in the metho of…

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Q: can you solve g, h, and j too please?

A: Part g)  We need to find the partition numbers of f''x To find partition numbers equate second…

Q: 1. Solve the following initial value problems: 1 ty with the initial condition: d) y (0) = 0 2.…

A: Solution: Given data, 1d)y' = 1/(ty)   Transformation y' (t) = dy/dt   dy/dt= 1/(ty)

Q: 14. Evaluate the limit for the graph: lim f(x). x → 1 4 a. +∞o b. 1 T y4 4 2 20 +2 T 2 4 c. 3 d.…

A: see below the answer and explanation

Q: Find f' and f" for the function. f(t) 92²2²-7 t f'(t) F"(t) = 18t + 7 انا 2 14 18+ + X X

A: Given: f(t)=9t2-7t

Q: Let the function f(x) have the property that f'(x) g'(x) = = = x+5 x-2 ¸ If g(x) = f(x²) find g'(x).

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Q: Problem #8: Evaluate the following limit. lim (x, y) (0,0) If the limit does not exist then enter…

A: J=lim(x,y)→(0,0)xx+4y

Q: Let f(x)=12x^2−7x−11 Where is the critical point? x= Is this critical point a local maximum, a…

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Q: 9. At time t= 0 a particle is at the origin. It then begins moving along the positive x- axis so…

A: For part (a):

Q: Show mathematical methods covered in this course to support your answers. -b± √b²-4ac 2a You may…

A: