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Q: If P=32-Q, Finf (a) total revenue,(b) marginal revenue (c) marginal revenue at Q= 5,8,and10...…

A: We have to find the total and marginal revenue at given values.

Q: Evaluate the limit using the identity a³ — b³ = (a − b)(a² + ab + b²): lim x³-512 x-8 x→8

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Q: following limits: m lim_f(x) = -4 hits) 1,0 help

A: Here is the solution

Q: Q.4 Find the series formulas of the Maclaurin polynomials for the following function: f(x)=√1+x.…

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Q: nd the center of the mass of a thin plate of constant density 8 covering the π gion bounded by the…

A: Please see the below picture for detailed solution.

Q: 10. Consider the function f(x) = x³ + 6x² - 36x + 4. Then 1. f decreases on (-6, 2) and increases on…

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Q: Find the volume V of revolution about the x-axis for the region under the graph of f(x) = √√x4 + 1…

A: We need to find out the volume of revolution.

Q: Suppose that f(t)=t2+t−5. What is the average rate of change of f(t) over the interval 4 to 5​?…

A: We need to find average rate of change.

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y…

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: If the motion of a particle is governed by the equation  s=f(t) , then the velocity of the object is…

Q: dy Write a differential equation in the form da y = g(x) can be described as follows. The line…

A: given  solution funtion is  y=g(x)the line tangent to the graph of g(x) at a point (x,y) has -y2 as…

Q: Evaluate. S −3 |x| dx The graph of y=-3x is shown here for your reference.

A: Concept ∫abf( x ) dx = Area under the curve from a to b

Q: of y = 2 tan x 1-tan²x

A: Solution is done in step 2

Q: What is the equation of the tangent line to the curve y = ln(x4+1) at x=1? A B C D y = 2x + 1n2-2 y…

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dy dt x²…

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Q: X f(x) 0 -5 -4 -3 -2 -1 0 -7 9 -4 Which of the following are factors of f(x)? Choose all that apply.…

A: The given data is: x -5 -4 -3 -2 -1 f(x) 0 0 -7 9 -4 To find the factor of fx

Q: Consider the points P(6, 7) and Q(7,-8). (a) Determine vectors OP and OQ. Express the answer by…

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Q: 6. (D² + 1)y = 10e* sin x

A: see below the answer and explanation

Q: 7, 8, 2, and 10 Set up, but do not evaluate, an integral representing the area of the region…

A: Topic = Area

Q: 10. Select the expression equivalent to In(7). O log(7) ○ In(21) + In(3) O In(21) In(3) In(21)-In(3)

A: We have given logarithmic expression  ln7 Checking options  log(7)≠ln7 ln21+ln3=ln21×3=ln63≠ln7…

Q: If you deposit $2,850 in an account earing 6% interest compounded continuously, how much will the…

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Q: The graph of y = J (x) 10+ 9 8 7 6 5 4 T 3 2 + 10-98-7-6-5-4-3-2-1-₁ -2 -3 --4 -5- -6- -7- -8 -9 10…

A: The answer is in step2.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find an equation of the tangent line to the graph of the following function f at the specified…

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Q: The figure below shows two vectors a and b in R³ that are in the xy-plane. Suppose ||a|| = 4, ||b||…

A: The figure of the vectors given is Suppose a=4,  b=3, and the angle between the two vectors is 50…

Q: 14. The set of all critical numbers of f(x) = 2 cos x + sin 2x on (0, 2) is A. {7, 37) c. (3, 57)…

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Q: Consider the following graph of the function g. कोरि 0 -2 1 2 3 x ® From the given graph of g, state…

A: A function is said to be discontinuous at all those points where there is a break in its graph.

Q: The CEO of the very profitable Sun-4-You Solar Company plans to invest $50,000 per year for 12-years…

A: Given:  Cash flow = $50,000. Rate = 4%  Time = 12 years The money is compounding continuously.    To…

Q: For the given​ function, find ​(a) the equation of the secant line through the points where x has…

A: Given y=fx=x2+x x=-3 and x=-1

Q: Consider the following vector function. r(t): (6√2t, e6t, e-6t) (a) Find the unit tangent and unit…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) √3- t lim t-0 3 +t- t

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Q: Find the angle in radians between the planes 3x−z=1 and 4y+z=1. and 13.0384048104053

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Q: Find the values of x at which the curve y = f(x) = (4x + 3)³ (x-4)4 has a horizontal tangent line.…

A: Given y = f( x ) = ( 4x + 3 )3( x - 4 )4

Q: Evaluate the following integrals. 3. Jy sin(xy) da, y sin (ry) dA, where R = [0, 1] x R = [0, 1] ×…

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Q: Find the area of the shaded region. A = -4 200 3 y=x² (-2, 4) 4 -2 x 00 8 9 4 2 (1, 6) 3y=2x+16…

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Q: -312 y=2x

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Q: 06 * The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship…

A: Given scatterplot shows the relationship between the length of fist metacarpal bone and height for 9…

Q: For which integer n, 0≤ n ≤ 3, does the IVT say that f(x) = x³9x+3 has a zero in the interval [n/4,…

A: Given that : f(x) = x5 - 9x +3  has a zero in interval [n/4,(n+1)/4].   Here i attached the solution…

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: Given y=c1ex+c2e-xy''-y=0y0=0y'0=1 We are required to find the value of y       The following…

Q: Find y' and y". y' y" 11 = y = √x In(x) x¯(³)in(x) 2 x x

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Q: The boundaries of the shaded region are the y-axis, the line y = 14, and the curve y = 14√x. Find…

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Q: The given two-parameter family is a solution of the indicated differential equation on the interval…

A: Given that a differential equation and also goven that its solution we find that solution at given…

Q: 4. The complementary solution of following equation y"" - 3y" + 4y' - 2y = ex + cosx, is (a) c₁e+…

A: Given differential equation y'''-3y''+4y'-2y=ex+cosx

Q: At time t = 0 a car moves into the passing lane to pass a slow-moving truck. The average velocity of…

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Q: Find the domain and range of the function graphed below. -4 -3 -2 -1 Domain: Range: 54 3 2 1 -2 -3…

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Q: Find the measure of the angle between the three-dimensional vectors a and b. Express the answer in…

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Q: 20. y = x², y = 4x − x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Solve the differential equation: : tan²(x). dy dx The curve passes through point (0, 0).

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Q: Interchange the order of integration of the following integral (DO NOT EVALUATE). So St e dr dy

A: Given integration is ∫01∫y1ex3dxdy