* Evaluate. [12 [20x cos(5x² - 1)]dx

Q: Calculate the derivative. f(x) = 6-9x1/3 +9e* (Use symbolic notation and fractions where needed.) d…

A: A detailed solution is given below

Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the…

A: Given point(1,-2,3) Then the equation of the line passing through 1,-2,3 is…

Q: You have found an annuity that will pay 4.75% annually and you plan to put $1,000 into the annuity…

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Q: sin(x)cos(2x)sin(3x) dx D sin(6x) sin(2x) sin(2x)cos(4x) + + ++ C 24 8 sin(3x)cos(3x) 12…

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Q: Find an equation of the plane containing the point (3,0,-4) and perpendicular to the line r(t)=…

A: A detailed solution is given below

Q: Find the area of region bounded by the graphs of the equations. a. X b. y = x + sin x y + 3 2 1+ -R…

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Q: dx If ff √7²-²²²2-4 x² - 2x - 4 integrand is? (a) sece 1 (c) CSC 0 √5 is solved by trigonometric…

A: Solved below

Q: Question 10 > Put a dot on the vertex of the parabola below. What is the coordinates of the vertex?…

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Q: x²+x+1 Sa 2x²+2+3+x A B cb dx g(x) - dx = [Aƒ (x) − B ln(g(x)] + D fb da, and if A = ‚B <0, then dx…

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Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

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Q: Prove the identity. (secx + 1) (secx-1)= tan ²x Note that each Statement must be based on a Rule…

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Q: The graph of f' (not f) is given below. At which of the marked values of is A. f(x) greatest? x = B.…

A: Given :  the graph of f '

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = e√²t¡ + e¯√²tj + 2tk,…

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Q: Consider using the method of partial fractions to solve x²+x+1 rb Sa 2x²+2+x²+x - dx = [Af(x) – B…

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Q: || ti + t²j||dt|

A: Explanation of the answer is as follows

Q: Using integration by parts, Then k is? (a) - 1.5136 ²x³ cos x³ cos(x²) dx = k - [*x sin(x²) dx 0…

A: Solve it

Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

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Q: Identify the surface that corresponds to the equation 3y^2 - 2x - 8z^2 = 0. O elliptic hyperboloid…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: We need to find domain and value of r(t).

Q: 1. f (5x¹8x³ 2. f (4x + 2) de +6x² - 4x + 7) dx

A: Topic:- integration

Q: lim 3 24-8 LIMIT VALUE: H 11-2r

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Q: Write the first six terms of the arithmetic sequence with the given first term, a1 and common…

A: Solve the following

Q: r₁(t) = cos(t)i + sin(t)j +5tk, r₂(t) = 4i + tk X d -=[r₁(t) · r₂(t)] 10 t - 9 sin(t) = dt d -[r₁(t)…

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Q: Question 9 A phone company charges for service according to the formula: C(n) = 22 +0.07n, where n…

A: A phone company charges for service according to given function .     [ C(n)= 22 + 0.07n ] Where,…

Q: Find the radius of convergence, R, of the series. (-7) xn n√n n = 1 R= Find the interval, I, of…

A: The given series,        ∑n=1∞-7nnnxn

Q: -0.4t The rate, r, at which people get sick during an epidemic of the flu can be approximated by r…

A: Solved below.

Q: y=√√√5-√x

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 2. lim (√²-x-√√x² + x)

A: The given limit,     limx→-∞x2-x-x2+x

Q: what is the normal equation to the curve which is the circle with center at origin and and radius of…

A: Given circle , With center at origin (0,0) And a point on circle is (4,3)

Q: sin(x)cos(2x)sin(3x) dx A B D sin(3x) cos(3x) sin(2x)cos(2x) sin(2x) + + 12 8 sin(3x)cos(3x) 12 +…

A: We have to find integration of given trigonometric term.

Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

A: Topic:- linear function

Q: 55. f(x) = x² + cos ¹x on [-1, 1]

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Q: d. Find an equation of the normal line to the graph of y = √x + 1 at the point (3, 2).

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Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

A: Solved below

Q: 22-12x To solve S; x²(3x²-10x-8) form of the partial fractions for this integral? A(2x) + B C D (A)…

A: ∫22-12xx23x2-10x-8dx

Q: 2z+8 (z+7)4 dz

A:

Q: dx If S = is solved by trigonometric substitution, which of the following x² - 2x - 4 substitutions…

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Q: Find the most general form of the antiderivative, F(x), of the function f(x) = −3√x - √√x. Provide…

A: Given fx=-3x5-x3 To find antiderivative (Integration)

Q: 1/(x) = ² x ³² - 2² x ³² + 4x +4x. Find 12. Given the function All critical points of f(x) (b) The…

A: f(x)=13x3-52x2+4xa) Differentiatef'(x)=13.3x2-52.2x+4f'(x)=x2-5x+4For critical points…

Q: ƒ dx = f(+ g(x)) dx, then A + f g(x) dx is equal to x³+x A. -1 B. -1 + In(5/2) C. 1 D. -1 + In(7)

A: Given that,

Q: 18) fin

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Q: Given: √√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? A…

A: The given integral is: I=∫-x2+4x+5dx=∫9-4+4x-x2dx=∫9-4+4x-x2dx=∫9-(x-2)2dx

Q: Question 2 Consider using the method of partial fractions to solve rb dx = Sa 2x²+2+x³+x² dx = [Aƒ…

A:

Q: Linearly dependent solutions Undamped Free vibrations w=0 W=W₁ (undamped) Principle of Superposition…

A: Given:-

Q: Find all the values of x such that the given series would converge. ∞ 7¹ (x-3)n n+ 3 n=1 Answer:

A: Solution in step 2

Q: Let (A) = and B = . Find the angle between BO and A D O 【cos) 2/√(30(21)) O [cos] ^(-1) 2/√(30(21))…

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Q: Find F'(x). -x+2 a. F(x) = f**(4t + 1)dt b. F(x) = ft³dt sinx c. F(x)=√ √t dt

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Q: r=3sin20 and r=2) a. Pick two points on the graph and find their tangent lines. b. Find an area that…

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Q: 32 96 0 48 If f cos 2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are…

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1+tan ²x) cotx =…

A: The given identity,     1+tan2xcotx=secx cscx