Use logarithmic differentiation to find the derivative of the function. y = (tan x)8/x 8 -tan(x) tan (x) x (x sec (x) csc (x) – In (tan(x))) y' = 2 X X

Q: A = 24 13]. B , B = 0 3-2 4 5

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Q: If h(a) = h(b), then what is the value of ·b [ g(h(x))h' (x)dx

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequer In (n + 5) an = 3 Use…

A: A sequence  converges if  where L is a finite number.

Q: The equation represents Select one: O a sphere with center(0, -5, 3) and radius 16. O None of them O…

A: To determine the type of the surface represented by the following equation.Note: Since the student…

Q: Find derivative of the following function. e³x + e-3x dy dx y = || X

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Q: -9x² - 17 - 18x4 (a) standard form (b) degree standard form, degree, coefficients, leading…

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

Q: Winter FunⒸ has determined that the total cost (in dollars) for its west coast factory to produce…

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Q: Find the maximum and minimum values of the function y = 8√√x² + 1 - x on the interval [0, 3]. (Round…

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Q: Use the special product formulas to perform the indicated operation. (y + 8)²

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Q: Use logarithmic differentiation to find the derivative of the function. y = (cos 9x)* y' = (cos…

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Q: It is given to you that an equation of the tangent line to the graph of y= g(x) at x= 9 is 4x+10y=…

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Q: Use the special product formulas to perform the indicated operation. (Simplify your answer…

A: Given expresion is

Q: Find an equation of the line tangent to the curve √xy+3y=200 at the point (1,64). An equation of the…

A: ......(1)Find the equation of the tangent line to the curve at the point

Q: For what values of p is the integral convergent? d. All values of p less than 1 O e. 8 1,0 All…

A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = + 3 n…

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Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: Find an equation of the line tangent to the following curve at the given point. y=9x +4 sin x;…

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Q: The function f(x) = 2x³ − 42x² + 270x - 7 has two critical numbers. Use the derivative to…

A: we are given the function and we need to find the critical numbers.

Q: 10. Question: Find h(2) . Assume f(1) = 2, ƒ(2) = 0, ƒ′(1) = 3, ƒ′(2) = 4 . g(x) is given by the…

A: To find . Assume . is the graph given below.

Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges…

A: Sum =∑n=1∞(9n−9n+1)

Q: Consider the function f(x) = 2x³ − 6x² - 18x + 9 on the interval [-2, 4]. What is the absolute…

A: f(x)=2x3−6x2−18x+9

Q: 3. In the theory of random motion of particles the following formula shows up: 2²/sin-¹ (√²) F(t) =…

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Q: Find the derivative of the function. y=x8 ex dx

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Q: If a snowball melts so that its surface aree decreases at a rate of 10 cm2/min, find the rate (in…

A: Shape of snowball is sphere.

Q: Determine whether C(A - B) is defined. If it is defined, express the result as a single matrix; if…

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Q: Find the local maximum of the function f(x), which is given in the graph below. As an ordered pair…

A: Find the local maximum of the function f(x), which is given in the graph below. As an ordered pair…

Q: Find the average value of the function h(x, y) = x³y² on the region bounded by f(x) = 2x + 2, g(x) =…

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Q: The following limit lim Select one: O None of them 8x³y³ (z,y) →(1,2) 2x - y O equals 12. O equals…

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Q: Differentiate the function. f(x) = log,(xe*) F'(x) =

A: Consider the function Formulas

Q: Find the values of the other trigonometric functions given the following conditions.  a. sin theta =…

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Q: Find form. (x + y) dydx. Write your answer in exact từ da l 2 6 6

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Q: 2. Does the following function satisfy the preconditions of the Mean Value Theorem on the given…

A: Mean value theorem states that for a continuous and differentiable function f(x) on the interval…

Q: Simplify the expression. (16x 16x²x) (- 8z4 28x²z³ 14y²

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Q: Prob #3 A 25in Find the area of the triangle below. 75° B 37° с

A: Given that a triangle ABC . Here     Angle A = 75°     Angle B = 37°    Side AB = 25 in.

Q: The velocity of a particle moving along a line is a function of time given by 79 v(t) = t² + 12t +…

A: The velocity of a particle moving along a line is a function of time is given by,   Find the…

Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

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Q: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

A: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

Q: 9- Consider a rectangle whose height is four times its side (base). bas obiale ting lin The ratio of…

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Q: 7x 1+2x 2+1 x_3+8 x_4+9x_5 = 69 9x 2+3 x 3+4x_4+4 x 5 = 54 4x 1 + 6 x 2+5 x_4+4 x 5 = 40 2x 1 + 10 x…

A: We solve the following system of linear equations using the Gauss-Jordan Elimination Method:

Q: Add the following complex numbers. (−5+19i)+(3−3i) Give your answer in complex standard form a+bi

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Q: If f(x)= = 3x5 – 5x4 – 3x³ x4 " find f'(x).

A: The given function

Q: 1. 003 400 050

A: 2.

Q: er does not exist, enter DNE.) reasing. (Enter your answer using interval notation.) creasing.…

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Q: Sketch the curve. r = 7+ 6 cos(0)

A: r=7+6cos⁡(θ)

Q: Differentiate. g(x) = log 29 (5x-4) g'(x) =

A: To differentiate the following function.

Q: The function f is defined by f(x) = x² cos (3x + 4). Use a calculator to write the equation of the…

A: f(x)=x2−cos⁡(3x+4)

Q: Find the GCF of the expressions. 12x¹4yz6, 24x6z8, and 4xyz7

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Q: Use the properties of inequalities to solve the inequality. Write the solution set using set-builder…

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Q: Compute the divergence and curl of the vector field F = (sin(x - y), - sin(x - y), ze²²) Is F…

A: Given that,

Q: Find d37 -(sin x). dx37 Derivative:

A: