y 5 sin(x) cos(x) + 4 csc(x)

Q: Find the Imit using l'Hospital's Role x-3 (i) lim x+3√√x+1-2 (j) lim 1 - COS (k) lim (1-2x)¹/x x-0…

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Q: Use Fubini's Theorem to evaluate the double integral ſƒ ƒ(x, y) dA, where f(x, y) = 8x² − 4x²y²-y…

A: Answer: The solution is given below:

Q: Provide a cheat sheet for Trig Identities. Example: sin(2x) = 2sin(x)cos(x)

A: The objective is to Provide a cheat sheet for Trig Identities. Example: sin(2x) = 2sin(x)cos(x)

Q: Consider the function f(x) = 6√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

A: Given query is to apply mean value theorem.

Q: Given f(x) = 4 sin(x) + 4 cos(x), over the interval 0 ≤ x ≤ 27 answer the following: a) Find the…

A: Note: - According to company policy we can attempt only three subparts a question so please upload…

Q: f(x)=x√√x² +9 defined on the interval -5 ≤ x ≤ 6. f(x) is concave down on the interval x = f(x) is…

A: To find the extrema

Q: Find the local and absolute maximum and minimum values of f(x) f(x) = cos x, x ∈ [-3pi/2 , 3pi/2

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Q: Let f(x) = f'(x) = - - 9 cos x + 4 tan x ƒ'( - 7) = =

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Q: Find the equations of the normal line to the surface z=3x4y5 at the point (1,1,3).

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Q: logarithmic differentiation to find the derivative of f (x) = (cos x)x

A: Given is to find the derivative.

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. $2 per foot $6 per…

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 6 cos(t)i…

A: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 6 cos(t)i…

Q: Find the maximum and minimum values of the function g(0) = 30 - 4 sin(0) on the interval [0, π]…

A: To find the minimum and maximum values of the function.

Q: Find the number in the interval [0, 4] such that the number minus its square is as follows. (a) as…

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Q: 2x + 9 . For this function there are two important intervals: (-∞, A) Consider the function f(x) 3x…

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Q: If f(x)= f'(x) = f'(4) = = 3tanr X 2 then

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

Q: Which of the following are rational functions? Select all that apply. f(x) = = Of(x)= Of(x) = Of(x)…

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Q: If f(x) = = f'(x) = 5x² tan r sec x Find f'(5)= " find

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Q: Find the tangent line to the curve y = x² − 5x + 11 at the point (1,7). Use the limit definition of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine whether the Rolle's Theorem applies to the function on the given closed interval. If so,…

A: Given functons:- Gx=-2x24x+8 gx=x-323 kx=3x2+30x+3

Q: If f(x) = f'(x) = f'(1) = 5 sin x 3+ cos x then

A:

Q: 4. If y = tan-¹(cos x), then dy = dx

A: As we know the Chain rule: fgx'=f'gx·g'x And Use the common derivatives.…

Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

A:

Q: Write the sum using sigma notation: cos(4) + cos(13) + cos(22) + cos(31) + ... = n=0

A: Let's write the sum using Sigma notation.

Q: 2. Use integration in polar coordinates in order to compute the double integral zy³ dA, where D is…

A:

Q: 149. 10/1/2 = -0,693 SEN

A:

Q: Q4: please answer questions on the bottom  Part B: Use a graph of the curve to explain why the…

A: Given:  y=sin14πx Point P1,0Point Qx,sin14πx ------------------------------------- Note: Only…

Q: Evaluate the integral. 5 dx 1 (x² - 1)3/2 0.134080 X

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Q: Find the integer that is represented by the following logarithmic expression. log2 48-log₂ 6

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Q: Let f(x) e = e-7x² Find F"(x). f"(x) = Find the x-value(s) where f"(x) = 0. (Enter your answers as a…

A: Topic = Derivative

Q: Why do you add pi and subtract by (x) in step 2? Where does the pi come from? How does the integral…

A: we can solve the integral.

Q: A manufacturer of Blu-ray Discs (BDS) estimates the yearly demand for a BD to be 10,000. It costs…

A:

Q: 5. Only

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Q: Let f(x) = x²e7x. (Round all answers to four decimal places, if necessary.) (a) Find the interval(s)…

A:

Q: If f(x) = 7 sin x + 9 cos x, then f'(x) = f'(5) =

A: We can find the 1st derivative and the derivative at the indicated number in the below steps.

Q: Make a sign diagram for the derivative of the rational function. 8 x² + 2x - 3 f(x) = --Select---…

A: The given rational function is  f(x)=8x2+2x-3

Q: [v₁ Arctanz y dy 。 (1 + y)* Ans. In 2+2 (4√3 − 3). Ans. T.

A:

Q: Find the geometric series or state that it diverges for n=0,infinity        e^-6n

A: We have to write  in geometric series and we have to give state for divergence

Q: Find the amount of each payment to be made into a sinking fund which earns 8% compounded quarterly…

A: NOTE: Refresh your page if you can't see any equations. . the given future value is  FV=$34000…

Q: The function f(x) has a continuous second derivative, and it satisfies f(2)= 8, f'(2) Of(x) has a…

A: For f(x) to be local maximum or minimum at any point, f'(x) = 0

Q: The populatiom of a colony of red imported fire ants starts with one queen and seven workers in the…

A:

Q: 1 for convergence, you 6k8 + 8k¹2 k = 1 will use the Limit Comparison Test, comparing it to the p 1…

A: soution:-∑k=1∞16k8+8k12ak=16k8+8k12Limit Comparison Test using the P series ∑k=1∞1 8kP where…

Q: Choose the correct statement about the below function 00 B O One to one and onto O One to one but…

A: By using function theory

Q: If log5 (log₂ (log3 x)) = 0 then x equals O (A) 0 O (B) 9 O (C) 5 O (D) none of the other answers is…

A:

Q: Suppose that the radius r and volume V = πr3 of a sphere are differentiable functions of t. Write an…

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1100 0.005x2 - 0.01y2,…

A:

Q: 3x

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: -3x+8 x-7 Fill in the blanks below. (Note that it is common to say a limit "has a value of" oo if…

A:

Q: 1. Write the equation log2439 = in exponential form. [A] 2435-9 243 [C] =9 [B] 95-243 [D] 9 - 243 2.…

A: NOTE: Refresh your page if you can't see any equations. . write both sides as an exponent of 243…