The Scot* dx is {A}-cot+3 csc-x+ C {B} cot ³+3 cot + x + C {C} cot+ 3 csc-x+ C {D} -cot ³+3 cot+x+C

Q: If |ū| = 4, |v|=5, |ū-v=6, determine |ū+ v.

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Q: Question 15 [xy2. +xzu+yv2-3 = 0 The system of equations :. 6x³yz + 2xv-u2v2-7=0 can be solved for u…

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſo f(x)dx = 4.…

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Q: Find the curvature of the curve r(t) = (-4t, - 3t², 5+³) at the point t = − 2. Give your answer to 2…

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Q: Solve the given differential equation by undetermined coefficients. y'' + y = 6x sin(x)   y(x)=

A: Follow step 2nd .

Q: 8. Sketch the curves and determine the area of the region formed in the given interval: y = √√2x, y…

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which f f(x)dx = 4.…

A: We need to evaluate integral.

Q: COS X 6. y = x What is the appropriate formula? dx Solution:

A: Given query is to find the derivative of the expression.

Q: A. Using chain rule find the derivative of the following functions. 1) f(x) = (x³ + 3x²) 200 2) f(x)…

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Q: Evaluate the integral by interpreting it in terms of areas. *18 |x - 9| dx

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Q: Determine if the following series converges. If the series converges, determine if it converges…

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Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

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Q: Let the graph below represent f(x). For which values of x is f(x) increasing? 20 16- 12- -5-3-2 8+…

A: The graph of the function f'x is To evaluate: The values of x for which fx is increasing.

Q: 2) √ x¹ (5-x²) dx

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Q: Find the curvature of the curve r(t) = (3 cos (4t), 3 sin(4t), 4t) at the point t = 0 Give your…

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Q: 8. For the enclosed regions bounded by y = x² - 6x and y = -2x in the graph, what is the integral…

A: Given   From the graph intersection point

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

A: Given the query is to find the maximum profit.

Q: 5. Evaluate the integral, if it exists. a. L₂(x¹ - 3x¹/3 + 1) dx b. √₁³ (2ex - ²) dx

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Q: Use the formula к(t): k(t) ||r' (t) x r"(t)|| 3 ||r' (t)||³ r(t) = esti + e¯tj = to find (t). #1

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Q: At what points c does the conclusion of the Mean Value Theorem hold for f(x) = x³ on the interval…

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Q: Let f(x) = x² - 4x. (A) Find the slope of the secant line joining (1, f(1)) and (7, f(7)). Slope of…

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Q: Find the indefinite integral. Solution in handwritten a. S dx sin x cos²x

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Q: The minimum hourly wage in a particular country has grown over the years, as shown in the table. a)…

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Q: In a circle of radius 25, find the length of the arc spanned by a central angle of radians. Round…

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Q: H.w.2 Evaluate the following cartesian integrals by changing them into equivalent Polar integrals: 4…

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Q: Is the function a power function. If it is, write it in the form f(x) = kxP, and state the values of…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: ∫0π22cos4xdx,  n=4Then ∆x=π2-04=π8The subintervals are 0,π8,π8,π4,π4,3π8,3π8,π2By midpoint…

Q: Problem 4. If A is a skew symmetric nxn matrix such that n is an odd number, evaluate det(A).

A: This question is related to Matrices and determinants , we will solve it using given information.

Q: 2 Find the centroid of the portion of the sphere x² + y² + z² = 2a² that lies in the first octant.…

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Q: The point P(2, 2) lies on the curve y = 4. If Q is the point (x, 4), find the slope of the secant…

A: answer is in next step

Q: Find the indefinite integral. Solution in handwritten. 1. f(x²-9)(2x) dx (-8x)√3-4x²dx 2.

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Q: Let f(x) = x². a) Find the tangent line to the graph of the function at x = 9. y = b) Find the…

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Q: solve the following equation 2sin3x+sin2x+1=0, on the interval 0<x<2pi

A: 2sin(3x)+sin(2x)+1=0Let f(x)=2sin(3x)+sin(2x)+1 , 0&lt;x&lt;2πThe graph of f(x) is shown below:

Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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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: Given problem:- Find the domain of r(t) and the value of r(t0)  r(t) = cos(πt)i - ln(t)j + √(t -…

Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m - n)] dx A…

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Q: 2 The √tan x secxdx is {A} tan³/2x-tan7/2x + C {B} tan³/2x + ² tan7/2x + C {C} tan5/²x + tan7/²x + C…

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Q: Sketch a function that is continuous on (-∞0,00) and has the following properties. Use a number line…

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Q: 2. Find each indefinite integral CS Searned with (278x²) da eamscanner 2.5

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Q: Set up the integral to find the area of the region bounded by x = 4y - y³ and x = 0.

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Q: How much money must be invested now at 10% interest compounded continuously so that $120, 000 will…

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Q: find a formula for the function passing through (-1,5/3) and (1,15).

A: Solution: Given : (-1,5/3) and (1,15) We know the exponential function of the form f(x) = aebx

Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

A: Hee, use the formula: FV=erM∫0MS(t) e-rt dt

Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A: Given:

Q: Solve [2*+2³ = 10 4* +4 = 68

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Q: 5. y = cos x sin²x What is the appropriate formula? Solution:

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Q: B. The maximum value of f(x) is h. OC. The graph of y = f(x) is a parabola. D. If a 0, then f has a…

A: Topic:- calculus

Q: 1. f(cos 3x - x²) (sin 3x- x³)5 dx 2. f cos² x (tan x) (sec² x − 1) dx 3. f tan x (sec² x - 1)(sec²…

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Q: Of all rectangles with a perimeter of 10, which one has the maximum area? (Give the dimensions.)

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Q: 1. In any polyphase system, the value of the angular interval between each phase is 120 degrees Must…

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