If k(x) 4 cos(x), then k'(x)

Q: 9) Write an algebraic expression for the following cos(arctan 2x)

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 20-x²;…

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Q: D In10 In[log(x+1)] + C

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Q: 1) f(x) = x5-x¹ + x² - x +² 2) f(x) = sin³x - e³x² + ln(1 + 5x²) 3) f(x)=√1-x² sin-¹ x 4) f(x)=√√x +…

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Q: Evaluating 9-x² dx using trigonometric substitution will lead to: A B © (D None of the given choices…

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Q: Q16 a) / 31 3t+2 b) dr cos² a √5+tanz » /; c) [₁² dt (3-5t)²

A: Given :(a) ∫3t3t+2dt(b) ∫dxcos2x5+tanx(c) ∫12dt3-5t2

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: 1 =44zz_4s + s} s2 -

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Q: -10 -5 15 15 5 X 10

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Q: Find the critical numbers of the function. f(x) = 7x² - 4x Step 1 To find the critical numbers of f,…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2 3 [²³x²³ ln(x¹) dr Sº x exp(-x) dx 1 X Jo 2x² +1 dx

A: Solve the integral

Q: The graph of f is shown. y -10 0 10 y = f(x) 20 30 40 X

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: Sandy's main house is a hemispherical glass dome with diameter of 8m. Suppose that the glass is m…

A: NOTE: Refresh your page if you can't see any equations. . the diameter of the hemisphere is 8 m so…

Q: The area of a square with sides of length s is given by A = s². Find the rate of change of the area…

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Q: 248 217 186- 155 124- 93 62- 31

A: topic:- calculus

Q: Tutorial Exercise Find the slope of the tangent line to the graph of the function at the given…

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Q: what

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Q: Which value for 0 is a counter example to sin² 0 + cos² 0 = tan²0 as an identity? O O | સ sin² 0 +…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.)…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 5y' + 4y = 0, y(0) = 1,…

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Q: Find the product of (8 + 6i) and its conjugate. product =

A: solution:-the complex number is 8+6i the complex conjugate of 8+6i is 8-6i

Q: Euler found the sum of the p-series with p = 4: ζ(4) = Σ Σ n = 1 Use Euler's result to find the sum…

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Q: 1. (a) First find the following indefinite integral A. e666 B. 2e667 (e - 1) e√x+666 [= √x dx = (b)…

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Q: Find the derivative of G(x) = √ x³ t.csct dt. O-3x5 csc r³ cot x³ -3x² csc x³ cot x³ Ox³ csc x³…

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =…

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Q: 60. (Length of an Arc) What is the total length of the curve y = e*sin x from x=0 up to y = n

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Q: Find the equation of the curve whose slope at any point X-2 3-y and passes through (-1, 1

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Q: Consider the following function. f(x) = x + (-4,-5) (a) Find an equation of the tangent line to the…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Consider the following. x = 3 cosh(t), y = 2 sinh(t) (a) Eliminate the parameter to find a Cartesian…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = e* sinh t L{f(t)}…

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Q: Tutorial Exercise Find the absolute extrema of the function on the closed interval. y = 6 cos x,…

A: Given that, the function is y=6cosx. Differentiate the function with respect to x as follows.…

Q: fr. sin ax cos 3x dx

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Q: the derivative of the function by the limit process. f(x) = x²+x-3

A: Topic:- limits and calculus

Q: (x³ + y² √x² + y²)dx - xy√x² + y² dy=0

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

Q: f(x) = 3x, a = 7

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Q: tan(x) 5. Compute the limit for lim x-0 sin(x) , and show by hand how MAPLE obtain the results.

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Q: Find F(s). F(s) = L{(1 et + 5e-3t)cos(6t)}

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Q: Please answer completely. Step by step. Evaluate. 2 [² (4-x²)³/2x² dx

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Q: Verify the Divergence Theorem by evaluating [/F. F. N ds as a surface integral and as a triple…

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Q: Given the graph of the following degree 4 polynomial function, find all of the zeros and their…

A: We have to find zeros of polynomial

Q: Evaluate the indefinite integral: [ 10 10e¹x cos(2x) dx

A: We will use simple Integration rules to solve this question.

Q: 016 a) | b) | c) | 3+2 dt dr cos² √5+tan z dt (3-5t)²

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Q: 2 f(t) = 2t² - 1, [3, 3.1] Compare this average rate of change with the instantaneous rates of…

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Q: (1) ſ [ (x³ + 2 + 7 ) dx (3) cos³x dx (2) √ x³ (2) x3 e3x+1 dx (4) sin x sin 2x dx

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

Q: M                   dy/dx - y = e^x y^2

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Q: What is the integrating factor for the differential equation? dy dt + 3ty = ety ?(t) =   please show…

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