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Q: csc² x csc²x csc x cot x sin² x 1 + cos x 56. sec²x + tan²x = 1 + 2 tan² x 54.

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Q: How do you solve problem 15?

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Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and…

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Q: the answer -25 is incorrect. Is there something wrong with the way the problem was done? I do not…

A: Let's find dz/du by using chain rule.

Q: Solve the initial value problem dy dt = 4t + 9t², y(1) = 3.

A: We  will find the required solution of initial value problem.

Q: of air per minute. Find the rate at which the radius is changing at the moment when the radius is 25…

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Q: What is the inverse of the function f (x) = 3(x + 2)² – 5, such that x = -2? Of(x)=-2+, +5…

A: Given query is to find the inverse of the function.

Q: The volume of a cube is increasing at a rate of 60 in3/sec. At what rate is the length of each edge…

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Q: Find the critical point of the function: f(x, y) = 4 − 7x + 5x² + 5y + y² This critical point is a:…

A: (a).For a function f(x,y) the critical point is minimum if      D=∂2f∂x2∂2f∂y2- ∂2f∂x∂y2>0 and…

Q: lim √² 2-√²+1

A: For (m),        limx→∞ x2-2-x2+1=limx→∞ -3x2-2+x2+1=-3·limx→∞ 1x2-2+x2+1=-3·limx→∞ 1limx→∞…

Q: CL-Math Average Rate of Change, Piece-wise defined functions How does the slope of the line for each…

A: I am attaching image so that you understand each and every step.

Q: The marginal cost of the xth box of light bulbs is 10 + C(x) = [In(x + 1)] (x + 1)² 7 and the fixed…

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Q: Fill in the missing values to make the equations true. (a) log, 11 - log, 9 = log₁0 (b) log+ log 3 =…

A: Given equations:- log511-log59=log5 log4+log43=log415 2log63=log6

Q: 4. If ij,k are mutually perpendicular unit vectors and u is an arbitrary vector, prove that (i-u)(i…

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Q: A box with a square base and open top must have a volume of 131072 cm³. We wish to find the…

A: NOTE: Refresh your page if you can't see any equations. . x= side length of the square base so we…

Q: Use the Integral Test to determine whether the infinite series is convergent. 1 n² + 25 Fill in the…

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Q: Find the extrema of the following function on the given interval: h(x)= 2x+5cosx, ob [0,2π

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: 6. [0/0.02 Points] DETAILS MY NOTES X = ASK YOUR TEACHER PREVIOUS ANSWERS Solve the equation. (Enter…

A: Topic:- algebra

Q: Suppose that a sequence is defined as follows. a₁ = -3, an=-2an-1+10 for n ≥2 List the first four…

A: To list the first four terms of sequence

Q: A ball is thrown vertically up from the ground. If the positive direction is upward, then h = -16t²…

A: Answer is in step 2.

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 2 x-intercepts…

A: Given: vertical asymptote at x = -1, x = 2 x-intercepts at (-2, 0) and (-3, 0) Horizontal asymptote…

Q: Using the transformation u = -x +y and v=x+y, set up the double integral needed to evaluate the…

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Q: Decide whether the series So Use a comparison test to a p series 15k4 k5 + 5k + 3 k=1 k=1 converges…

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Q: Question 10 > At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23…

A: Let's find distance between the ships changing at 3 PM.

Q: Suppose that the cost, in dollars, for a company to produce a pairs of a new line of jeans is…

A: Suppose that the cost, in dollars, for a company to produce x pairs of a new lines of jeans is…

Q: A manufacturer produces bolts of a fabric with a fixed width. A quantity g of this fabric (measured…

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Q: An anonymous survey of college students was taken to determine behaviors regarding alcohol,…

A: Note:- This is having multiple sub parts and according to company we can do maximum 3 sub parts so i…

Q: answers to three decimal places. Find the critical numbers of the function f(x)=-3x5 + 15x¹ +25³ +4…

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Q: Decide whether the series k=1 1 k7 + 3k + 6 converges.

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Q: Find the Jacobian J of the transformation T(u, v, w) = (4u +4v+w, 4u − 2v+2w, 4u — 4v +2w) = (x, y,…

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Q: Compute the value of the improper integral. (If the integral diverges to ∞, type oo; if the integral…

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Q: The series converges. Σ 2( − 1) 1.1-0.2/k○ diverges k=0

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Q: Question 13 A company's revenue from selling x units of an item is given as R = 1400x – 3x². If…

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Q: Express the location of (8, -2,-2), given in Cartesian coordinates, in spherical coordinates. Round…

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Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

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Q: Differentiate y = cot ¹(t) + cot ¹(1/t). y = [

A: We know that: The Sum/Difference rule: f±g'=f'±g' The Chain rule: fgx'=f'gx·g'x Use the derivative;…

Q: 6. The city started a different program to increase library visitors. At the start of the program,…

A: Given query is to find the exponential function and the visitors after 3 years.

Q: Find d2w/dz2 for the given function.   w= 8z2e2

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Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 10 √100-x² S - 10…

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

A: Given: an=limn→∞nn+2

Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C

Q: Solve the following first order Bernoulli differential equation. Show the outline of the solution…

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Q: Write a polynomial function f (x) in expanded form where the only zer

A: The expanded form of a polynomial function is  f(x)=A(x-a)(x-b)(x-c)Where A is constant and a,b,c…

Q: 6. Use the unit circle to evaluate the following: (a) (c) (e) (g) sin(7) cos (4) sin (¹5) csc (-²)…

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Q: Factor the polynomial f(x)= x4-7x3+2x2+28x−24 given that 6 and -2 are zeros. then identify all real…

A: We will first factorise f(x) knowing (x-6) and (x+2) are factors then will find other zeros.

Q: Use linear approximation to estimate √9.05.

A: see below the answer and calculation

Q: Find the value of dx ∞ L 2 (2x 2)8 Determine whether 1 Σ n=2 (2n - 2)8 is a convergent series. Enter…

A: Given query is to find integral converging or diverging.

Q: 1. Find the equation of the tangent line to the graph of the function implicitly defined by the…

A: given that, 3y+cos(y)=x2  and ordinate is 0 find the equation of the tangent?

Q: 1. Find the area in the first quadrant enclosed by and x = 4, using a vertical element. x² +4 , X =…

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