P3: tan 3x sec 3x dx

Q: In AFDE, d = 4 ft, e = 5.5 ft, mZF = 24°. Find the area of the triangle and round to the nearest…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: Given the function y = x3 - 5x2 - 8x + 3. Determine the following: a. maximum point b. minimum point…

A: The given function,  y=x3-5x2-8x+3

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: 2x+3 (a) Given f(x) = and g(x) = , determine (g f 1-x

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1) Calculate 21+v3i

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Q: nd dy/dx and dy/dx2. For which values of t is the curve concave upward? a = t + 1, y = t² – t

A: A detailed solution is given below.

Q: Write the first five terms of the arithmetic sequence. ad - 1 0.2 2. 10 14 21 3333 0.214 7 10 3333-3

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: Evaluate the following expressions. Your answers must be exact and in simplest form. (a) In e l = -1…

A: We can answer the questions as below.

Q: 7. Determine the integral| 2+1

A: The given integral,    ∫x dxx2+1

Q: Find the linearization L(x, y) of the f(x, y) = x°y® at the point (2, 2). L(x, y) = %3D

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Q: 00 6" +3 2(-1)"-b,, where b,=- n' n n=1 (n+3) 9"+4 a) Find and simplify bn+1 bn b) Test the given…

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Q: Question 2 ( Consider the function f(x)% = %3D a2+1 (a) Find the intercepts of the graph of f (if…

A: Given that      f(x) = x/(x2+1)

Q: Find the absolute maximum and minimum values of the following function in the clc f(x.y) = 2x - 4x+y…

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Q: Evaluate each of the following integrals. 1. sin x cos' x dx

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Q: x-3 3. Find lim and simplify. x+9 x-9

A: Solution

Q: Find the following limit or state that it does not exist. x - 4x +3 lim X-3 x-3

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Q: Evaluate the difference quotient fla +h) – fla) for the function Ar)= 4х-3 (h - 6)/9h 1/9 4/9

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Q: If f(x) = 7 sin-(*), then f'(2) - =

A: dsin-1xdx = 11-x2 dxndx=n.xn-1

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x²…

A: 2a intersection

Q: Solve without L'Hopital's rule. lim x→1 [tan(1 − x)] / (2x^2 + x − 3)

A: We have to find out limit

Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation

Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 37°, a = 28, c = 26 %3D m/B =…

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Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

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Q: 8x -2x3+7

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Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: B. For the curve y = x' + 2x? +4 a.Solve the normal line at point (-3,-5) b. Locate the possible…

A: Topic:- application of derivatives

Q: In AZXY, y = 11m, x = 12m, mZZ = 141°. Find the area of the triangle and round to the nearest tenth.…

A: Find the area of triangle

Q: The graph of f(z) is shown below. Which of the following statements are true? 7. 6- 5- Select the…

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Q: oco=Sine secoこ cot =tano tano-o (8) Find all the solutioms to the following equations on the given…

A: (a) The given equation is: sin x=12, where x is any real number.

Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to z2 + y…

A: We have to maximize f(x,y,z)

Q: Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t…

A: We have to find the distance

Q: Given f(x) =x2- 1, find the value f(p).

A: Given: f(x)=x2-1

Q: 1 What is the instantaneous rate of change of Y= at x = 2? - o-1 4 O none of these -1 -1

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Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic 5…

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Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

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Q: I need help with g(18).

A: Here we have to find the value of g(18)

Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 46°, c = 9, a = 8 mLB = 8°, m2C =…

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Q: A differentiable function f(x, y) has the property that f(1, 4) = 5 and f-(1, 4) = 3 and f,(1, 4) =…

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Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A: This question can be solved using the concept of function.

Q: arctan x dx

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Q: 4x 12. Using tools from calculus plot graph of f(x) = Make sure to find critical 1+x²° points,…

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Q: Problem 2 Solve and specify method used. х dy — у dx y2 x3 dx

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Q: olve the triangle. Round your answer to the nearest tenth. A 95° 20 40° C B mLB = 45°, a = 28, b =…

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Q: csc(cot x) + cos" x dx CSC ,2 sin?

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Q: Problem #2: Differentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2). %3D Solution: Reason:

A: To differentiate the given function.

Q: 7 If the change of variables u = x-1 is used to evaluate the definite integral f(x) dx, what are the…

A: This question can be solved using the concept of change of limits in definite integrals.

Q: Compute the partial derivatives: ,2 z = In(x² + y³) az dy

A: Use partial derivative

Q: 7) Find all the second partial derivatives of f(x,y) = x³y% + 2aªy.

A: Second derivative