f(x) = 6log(13x + 8) - 2

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Q: For Problems 3-4, find the definite or indefinite integral, giving an exact answer for a definite…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 5) y=sin (0-60) 90° 180° 270° 360° 450° 540°

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Confirm that the below limit meets the conditions to apply Hôpital's Rule and then solve the limit.…

A: Answer: The solution is given below:

Q: [5] assuming the constant of integraton is zero. Show your solution is correct by taking the…

A: We need to solve integral.

Q: 7. Find all the relative extrema and saddle point(s) of the function given by f(x, y) = (1 +…

A: We have to find the relative extrema and saddle points of the given function.     According to our…

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Q: [7] Use long division and complete the square to solve the following integral. x² - 4x-2 dx x² -…

A: Explanation of the answer is as follows

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x= x and then find the nth Taylor…

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Q: Find the equation for the inverse of f(x) = 6x - 8. A F¹(x) = = +8 B) f¹(x) = x+8 Ⓒf¹(x)= x-8 6 D…

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Q: 2 f(x) = x² shifted and = X shifted right 2 units down 3 units. the equation of God graph what does…

A: To determine the equation of the graph after transformation

Q: che marginal cost for ski gloves is C'(x) = 5.5x + 10.5 and C(0) = 351, find the cost function. [x)…

A: Given query is to find the cost function.

Q: The function f(x) = − 2x³ +39x² - 216x + 4 has one local minimum and one local maximum. This…

A: Given a function f(x)

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Q: Find the area of the surface generated by revolving the curve about the given axis. x = 9 cos(8), y…

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Q: USE IMPLICIT DIFFERENTIATION TO FIND dy/dx. WITH THE GIVEN EQ’N: y^5+x^2 y^3 = 2 +x^2 y.

A: The given equation is y5+x2y3=2+x2y

Q: Solve the system for x: x+y+z=2 x-y + 3z = 8 5x+y+z=14 A B X = X = 12 1 18 3 5 141 11 1 1-13 51 1 11…

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Q: Determine whether x² 1 x+1 has a vertical asymptote or a removable dis- continuity at x = -1. f(x) =…

A: f(x)=x2-1x+1conditions for vertical asymptote and a removable discontinuity we have a removable…

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 2a cos 0 9π X π π

A: To find length of polar curve.

Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

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Q: g. y=5²+-8-tan (log(x-3x²))

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Q: By taking the derivative of the first equation with respect to b, show that the second equation is…

A: Given: ∫-∞∞e-bx2dx=πbWe need to show: ∫-∞∞x2e-bx2dx=12πb3

Q: ý + 3y = Sinx + 2 cos x

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Q: A rectangular storage area is to be constructed along a side of a building. A security fence is…

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Q: Given that f(x) = x³h(x) - h(1) = 5 h' (1) 8 = Calculate f'(-1).

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Q: Find all solutions of the equation in the interval [0, 2). cot^2 x + 3 csc x = - 3 Write your answer…

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Q: Design a rectangular milk carton box of width w, length 1, and height h which holds 494 cm³ of milk.…

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Q: 10 Juno aun DULI 20 material used. List them in ascending order. IM XOO DIRC

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Q: If the marginal revenue for ski gloves is R'(x) function. R(x) = = - 0.6x + 50 and R(0) = 0, find…

A: If the marginal revenue fro ski gloves is R'x=-0.6x+50 and R0=0, to find the revenue function.

Q: ppose that f is a continuous function and the followi ƒ(2) = 2, ƒ(4) = −1, ƒ(6) = 6, ƒ(8) = = culate…

A: We have to choose the correct option from the given options according to the given information

Q: 214 (a) Estimate the area under the graph of the function ƒ (z) — _—_—__ from 2 – 0 to z – 1 using a…

A: Solve the following

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A: Let's solve indefinite integral.

Q: FIND y’’ OF y = square root of (x^2+1).

A: We need to find out the double derivative of the given function.

Q: For x > 0, the function F is defined by Find F'(x): - Lo (³ +5³) dy In(x) F(x) = F'(x) =

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Q: Determine whether each series is conditionally convergent, absolutely convergent, or divergent

A: We need to find convergence.

Q: Give a possible formula for the function below. Let A = (1, 6) and B = (2, 18). Use the general…

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Q: 1. Let x = t-1, y = t² - 2t a. Eliminate the parameter and write an equation in rectangular…

A: To eliminate the parameter and form equation in rectangular coordinates

Q: Find the vertical asymptotes (if any) of f(x) x x²+x-2 1. x 2. N

A: To find the vertical asymptotes of given function

Q: If the marginal cost for ski gloves is C'(x) = 5.5x + 10.5 and C(0) = 351, find the cost function…

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Q: Find the exact length of the curve. y = √x - x² + sin-¹ (√x)

A: The given curve is: y=x-x2+sin-1x

Q: -= (x²-2x)tax (use logarithmic differentiation)

A: Given query is to find the derivative.

Q: 3. Find the area of the shaded region. y=6-x² -2 4 2 -2 -4+ H 2 y = x

A: Here is the solution:

Q: Find the arc length of the curve on the interval [0, 2л]. Hypocycloid perimeter: x = a (cos(0))³, y…

A: formula for arc length is  L=∫02π(dxdθ)2+(dydθ)2dθ∫sinθdθ=-cosθ+cdxndx=nxn-1

Q: * Evaluate by converting to polar coördinates. 2. 4-x² - dA R given by x² + y² ≤ 4 with x ≥ 0

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Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Which of the following is not a way for a derivative to fail to exist? c. vertical tangent d.…

A: As we know If function discontinuous at a point x=a,then there must be non differentiable at x=aSo…

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Include a multiplication…

A: Given query is to find the integral.

Q: (a) lim 자 200 I

A: