Given the definitions and g(x) below, find the value of f(g(−3)). of f(x) 2 f(x) = x² + 7x + 13 g(x) = -2x - 7

Q: Use the table of values to find lower and upper estimates of 10 [to f(x) dx. Assume that f is a…

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Q: Given the geometric sequence: 20 3 find a formula for the n-th term: ao = 2, a₁ a1 = , a2 = 200 9…

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Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

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Q: 5. Find an asymptotic expansion for as x+∞. Cπ/2 o -x tan² t dt e

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Q: Find the absolute minimum and absolute maximum of f(x, y) = 192x³ + y²(1 - 4x) on the triangle with…

A: Given function is Now, we have to find the absolute minimum and absolute maximum for the above…

Q: 5. Using Geogebra, draw the polar curve, r = sin³ (2.50) +cos³(2.50),0 ≤ 0 ≤ 2ñ.

A: Consider the curve

Q: nn n=0 4"n! η!

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Q: d. y = 2x+1 x²-4 5x+1 e. y = 2√x-1 f. y = sin x ln x-1 x²+1/

A: To find the derivative of the following functions.

Q: Find the difference quotient of f; that is, find f(x) = 3x² - 4x + 4 f(x+h)-f(x) h h#0, for the…

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Q: For what value of a is the following function continuous at every x? f(x) = x²-30, x<10 x≥ 10 ax,…

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Q: Evaluate S 2x + 1 (4x + 3)(x + 1) - dx

A: Consider the integral

Q: Find the absolute maximum and the absolute minimum for the function x² x + 1 f(x)= x = Absolute…

A: The given function is; f(x)=x2/(x+1) , [-2.5,-1.9]

Q: 1 se sec4 x tan x dx

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Q: Let (a) Evaluate det1B 2 by expanding by the second row. (b) Evaluate det1B 2 by expanding by the…

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Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

Q: Find all exact solutions on the interval 0 < x < 360°. If there is more than one answer, enter them…

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Q: g. y = tan x h. y = t+√√2t+√1-5t

A: To find the derivative of the following functions.

Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. |x,…

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Q: Find the radius of conv- 00 n! n 1.3.5..... (2n

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Q: a. What is lim g(x)? Choose the correct answer below and, if necessary, fill in the answer box to…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Which of the following is an appropriate choice for & when proving the following limit? Assume ɛ > 0…

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Q: Use special limit rules to discuss your response, you may use any graphing tool to support your…

A: In a n-sided regular polygon, the angle made at the center is the division of the total angle of a…

Q: The velocity function v(f) (in meters per second) is given for a particle moving along a line.…

A: We have to find the displacement and distance travelled by a particle in the given interval.We will…

Q: When solving the auxiliary equation associated with the differential equation 3y"+2y"=0 it is…

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Q: you alos calculate the following

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Q: Find the equation for the line tangent to the parametric curve: at the points where t = 4 and t =…

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Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² − 2xy+3y² − 3 x…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: Consider the following integral. ƒ(9e¹) e* dx By making an appropriate substitution, the above…

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Q: Question Details Given VxF= 2yj, what can we say about the vector field F? (Select all that apply.)…

A: We have to use the concept of curl of vector field

Q: (−1)" (x + 15)" Σ 10" 14 n=|

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Q: Give the negations: All cars run on a gasoline

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Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

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Q: Problem #4: Beginning now at time t = 0 in years, the number of mice in a population of mice is…

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Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

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Q: 1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- X

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Q: Find the surface area of the part of the plane z=6+2x+7y that lies inside the cylinder x^2+y^2=16

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Q: 15. An open rectangular box is to be made by cutting equal-sized squares from the corners of an 8"…

A: The dimensions of the box are:Length: L=15-2xWidth: W=8-2xHeight: H=x

Q: f(x) = (5z – 3)(4: 6(2-0³) 3-20 f(9) = 3 ၁၂ နှ

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Q: Given y = f(u) and u = g(x), find - (3) ² y=9u-5, u= dy dx = f'(g(x))g'(x).

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Q: The approximate rate of change in the number of design patent applications received in recent years…

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Q: Find ∫∫D(4x+5y)dA where D={(x,y)∣x^2+y^2≤1,x≥0}

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Q: Find the position and velocity of an object moving along a straight line with the given…

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Q: Determine the value of the definite integral that describes the shaded region above. 1. 9dw

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Q: The figure below shows the graph of a function over the closed interval [-1,2] y = f(x) OU

A: As we can see from the graph, the function has a very sharp turn at x=0So at x=0, the function is…

Q: 4x (11 + x) Find the first few coefficients. Suppose that CO C1 = C2 = C3 = C4= ∞ n=0 Cnx". Find the…

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Q: Use the parametric equations of an ellipse, x = a cos(8), y = b sin(0), 0 ≤ 0 ≤ 2π, to find the area…

A: Given that the parametric equation

Q: Find the volume of the solid generated when the shaded area is revolved about y = -1. y y = 2x y=x²…

A: To find the volume of the solid generated when the shaded area is revolved about .

Q: A child flies a kite at a height of 40 feet, the wind carrying the kite horizontally away from the…

A: Height of the kite from the ground= 40 feetThe horizontal speed of the kite= 25

Q: Evaluate the given definite integral. 3 [(-8 -4 (-8z - 7)dz =

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