Find the exact value of cos using cos(a - B): Hint: To calculate 71/12, select two fractions that when subtracted from each other will result in 1/12.

Q: For the function f graphed in the accompanying figure, find the following limits. If a limit does no...

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Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x Let g= cos x, and h= tan x. ...

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Q: 3. Find the derivative of the following functions using the increment method. (10 pts each) 6- 3x 1 ...

A: a f(x) = 1/2-x now using increment method f'(x) = limh→0 [f(x+h) - f(x)]/h f'(x) =limh→0 [1/ 2-(x+h)...

Q: (25/7 – 36 Evaluate the integral: (A) Which trig substitution is correct for this integral? Oz = 25 ...

A: Given: I=∫25x2-36x4dx  ...1 We know that; The trigonometric identities; 1). tanθ=sinθcosθ2). secθ=1c...

Q: If f(x) is a differentiable function, and n is a rational number, then Sf(x)" f'(x)dx = L4)"+1 +c n+...

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Q: Find lim f(z) if 4x 1 472 < f(x) < + 3x for all z 5. T100

A: Apply sandwich theorem

Q: du What is the value of u, given the equation equal to? A. x² В. 4 С. 6 D. none of the above

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Evaluate the Integral dx – (**V2Tan-1x-(Tan-1x)2 1-х4 '2Tan-1x-(Тап-1x)2 3. S х?/2Tап-1x- (Тап-1x)2 ...

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Q: Ve dx -2 0.

A: If the limit is finite and exist then the integral is convergent .

Q: 7. e*-4e * dx A 2 C. + C 2 + C ex x + - - x +2 e * + C x - 2 e * +C C O E None

A: Here,               We have given an indefinite                             integral now we have to ...

Q: The total cost (in hundreds of dollars) to produce x units of a product is C(x) = 9x - 2 Find the av...

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Q: Determine whether ivergent.

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Q: 2х + 10 dx Evaluate 2(x – 4)

A: topic - indefinite integration

Q: the largest open intervals of the domain over which each function is ncreasing, decreasing, and cons...

A: Increasing decreasing

Q: An artificial wetland has been created by building an earth dam across a small creek, between the si...

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

Q: Evaluate the slope of the function: (Please solve using limits)  f(x) = 1 - x^3                    ...

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Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

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Q: 10. S- 6x2-17х+25 -dx (х-1)(х-2)(*-3)

A: To solve:I=∫6x2-17x+25(x-1)(x-2)(x-3)dxNow,we need to first simplify the given expression,Let,6x2-17...

Q: imination of arbitrary constants = cjxe2* + cze¯*

A: Please refer to the image below

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Find your answer below 

Q: A ball is thrown downward with a speed of 10 ft/s from the top of a 100-foot-tall building. After t ...

A: a) t=2 seconds

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 +x+ 3....

A: Find your answer below 

Q: +00 n! と+1 n=1

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Q: Show that each function is continuous at the point indicated. 1. f(x) = 3x2 – 4x + 2 at x = 2 2. f(x...

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Q: 2x + lim X→-2 X + 2 X + 2

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Q: point in a wire up to time t (measured in seconds) is given by Q(t) = t3- 4t2 + 6t + 5. [The unit of...

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Q: Evaluate the following. 3. lim (x³ + 3x² + 1) X-2 4. lim v2x +5 X-2

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Q: Identify the u, du, the form of the integral

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Q: de 962 +120 + 9

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Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-...

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0   x4+4x3h+6x2h2+4xh3+h4-6x...

Q: 8) A company's demand equation is x - V 2000 - p² , where p is the price in dollars. Find dp/dx when...

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Q: 4 81-72sin²0+16sin*6 do S sin 20 de 1–2cos²0+cos40

A: Let I=∫sin2θ81-72sin2θ+16sin4θ1-2cos2θ+cos4θ4dθI=∫sin2θ92-2*9*4sin2θ+4sin2θ21-2*1*cos2θ+cos4θ4dθI=∫s...

Q: cose = +V(sin?0 - 1) O +V(1 + sin?e) O +V(1 - sin?e)

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Q: +o0 2" +1 3" +n n=1

A: Let's find. 

Q: れcot1 (3x) e dx Evaluate yuis

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t- 9t me...

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Q: Given P = R³S°T°.5 + R0.5 S sin(2T), what is as O 2R³ ST0.5 +R-0.5 sin(2T) 3R ST0.5 + 0.5R-0.5 sin(2...

A: In this question,taking other part as constant and differentiate with respect to s. 

Q: PROBLEM 1. Solve for the general solution term by term of the ordinary differential equation given b...

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Q: Using Integrating factors found by inspection (2y-3x)dx + xdy = 0

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Q: Evaluate the integral 7/4 cos(2x + y) dxdy. T/4

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple...

Q: Set up the definite integral required to find the area of the region between the graph of y = x² – 2...

A: Given: y=x2-20 &amp; y=2x-5 Now find the point of intersection between the given curves; x2-20=2x-5x...

Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We need to find Tylor series.

Q: 8. Find a definite integral for the area of the region that lies inside the polar curve r2 = 8cos(20...

A: Here, given that the region is bounded by the curves: r2=8cos(2θ) &amp; r=2 which is

Q: Consider the function shown below. 3 What type of function is shown in this graph? O A. density func...

A: Given:

Q: This exercise should be done two ways: by hand and using technology where possible. Let 2 -2 з о -1 ...

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Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

A: We need to test convergence. NOTE - As per our guidelines we can solve only one question from multip...

Q: 22. Evaluate dr. x2 – 8x – 9 - a. cosh-1 -4 b. 4 cosh-1* – 4 +C C. sinh-1 – 4 5 +C d. 4 sinh-1 - 4 +...

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