. The function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right. True False

Q: If Rita receives $39.24 interest for a deposit earning 6% simple interest for 110 days, what is the…

A: This is a problem related to simple interest. Based on the general formula of simple interest we…

Q: A manufacturer has a steady annual demand for 12,000 cases of sugar. It costs $8 to store 1 case for…

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: we know two vectors <a, b, c> and <x, y, z> are parallel if (a/x) =(b/y) =(c/z) .

Q: - 5 2x +1 Calculate the derivative function of g(x) Write your result as a single fraction. g'(x) ||

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Q: If f(x) dx = 2 and f(x) dx = 7 then f(x) dx equals a -4 b. 4 -5 O O O

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Q: The half-life of caffeine in the body is approximately 5 hours (Brachtel and Richter, 1992). If you…

A: Here, given that the half-life of the caffeine in the body is 5 hours and P0=50 mg. Now, we have:…

Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: For each function, determine the long run behavi x2 + 1 has | Select an answer x3 + 2 x° + 1 has…

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Q: dy Find dx using implicit differentiation. 5x = 2y° +7y dy dx

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Q: If m < f(X) < M for a < x s b, wherem is the absolute minimum and M is the absolute maximum of f on…

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Q: Find the equation of the tangent line at the given point on the following curve. 3 3 In (x+y)=x y" +…

A: The given equation is  ln(x+y)=x3y3+ln(x2+2)-8, (1,2).

Q: S 2x(x² - 2x)dx

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Q: Find the center of mass of the particles with the given masses located at the given points. 18) 11…

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Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

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Q: 2. If f(x) and g(x) are continuous functions, then " g(x)] dx = | f(x)dx• g(x)dx. 3. If f(x) and…

A: Note :As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Consider the following planes. -6x + y + z = 6 12x - 2y + 6z - 36 (a) Find the angle between the two…

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Q: Evaluate: (20t3 – 12t? + 7)dt

A: ∫03 (20t3 - 12t2 +7 )dt here we use rule of integration xndx = xn+1/(n+1) [20t4/4 -12t3/3 +7t]03…

Q: Find the orginal function of this A Fx) =-1 (B) Frz)= X +1 ニー re Fez) s -x+3 tan x - sec3x

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Q: Apply some trigonometric identities, then integration by

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Q: a) Determine if the geometric series below is convergent or not. 8" -1 Σ n=1 7h +1 The series is…

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Q: 26. Find a unit vector whose representations are perpendicular to the plane containing PQ and PR if…

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Q: For numbers 41-43, suppose that the functions f and g and their derivatives with respect to x have…

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Q: Find the dimensions of a rectangle with area 1521 metres squared whose perimeter is as small as…

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Q: 3 tanh (In(4x)) sech" (In(4x)), I) y = tanh (In(4.x)) [y

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Q: Given the following acceleration function of an object moving along a line, find the position…

A: We can find the position function as below

Q: Q1: Using by part integration: e Evaluate: sin ( In x)dx? 1 Add File

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Q: ds The position of a particle at time t is given by s. Find the velocity dt s4-7st+2t-3t= 0 ds dt

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Q: Show that f2x² dx = J; 2x² dx + [° 2x° dx + f° 2x° dx %3D

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Q: Find the derivative of the funciton F(x) = ,5t dt. F'(x) =

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Q: Evaluate the definite integral: = rp |I – ,7|

A: Given: I=∫05x2-1dx   From the rule of inequality; x2-1&lt;0 when -1&lt;x&lt;1x2-1&gt;0 when x&gt;1…

Q: -Obtain the Cartesian equation of the curve by eliminating the parameter. 14) x = t - 3, y = t2 + 5…

A: To obtain the Cartesian equation of the given curve.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: First we find unit vector of v.

Q: (4 csc x cot x + 2 sec² x) dx

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Q: x2 dx (3x3-4)5

A: We need to evaluate integral.

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y2, (12,…

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Q: Find the derivative of the function y = 4x sin '(x) + 4/1 – x². y'

A: Here we have to find the derivative of the given function.

Q: The value C for the solution of the initial value problem f'(x) = x4 – 8x + 4, given that f(0) = 0.…

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Q: I cannot understand the format of your answer. Please answer in a different form that's easy to…

A: Apologies for the inconvenience. If you do not see the equations in the correct format, please try…

Q: Problem #1:x =- Vy (y – 3); 1 <y< 9

A: Given:  x=13yy-3; 1≤y≤9 To Find:  a To graph the given curve.b To determine the arc length of the…

Q: 2. Compute the scalar line integral xy ds where C is the part of the circle of radius 2, centered at…

A: Put x=2cost , y=2sint

Q: 3x-9 dx gi S Vx3-9x-3

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Q: Vx+5-3 lim X→4 х—4

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Q: Find the interval of convergence of Σ (х — 5)" In (8n) n=2 (Use symbolic notation and fractions…

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Q: dy Differentiate implicitly to find dx 2x+7xy + 9y + 19y- 8 = 0 + dy %3D dx

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Q: Evaluate the definite integral: - 6 e!/I dx

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Q: Show that 2x° dx = [; 2r° dx + f zr* dx + [,2x° dx %3D

A: Given that,    ∫142x2dx=∫122x2dx+∫232x2dx+∫342x2dx

Q: La -x* + 2x - 1)dx

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Q: 29. Prove the following derivatives by using the definition of derivative. (a) (") = n. dx nxn-1

A: topic - derivative and limits

Q: x2 (a) Find a power series representation for f(x) = 1 + x3 °

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Q: 27. Find an equation of the sphere satisfying the ff. a. The vertices of a cube are on the sphere,…

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