Write the product as a sum or difference: 18 cos(22c) sin(9c) =

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Q: Determine whether the statement is true or false. If f and g are discontinuous at x = c, then so isf…

A: 1. If f and g are discontinuous at x=c, then so f+g. 2. If fx is continuous at x=c, then so is fx

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A: Given Graph of f'x

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Q: 18 Find p. q if f f(x) dx + ³ f(x) dx = f f(x) dx. (Give your answers as whole or exact numbers.)

A: A detailed solution is given below.

Q: Choose the expression that completes the following equation so that it is an identity. tanx+cotr = O…

A: Given,  tan(x)+cot(x)=sin(x)cos(x)+cos(x)sin(x)                        =sin2(x)+cos2(x)cos(x).sin(x)…

Q: Question 1 Use the method of Lagrange multipliers to find the maximum and minimum values of the…

A: answer is in next step. please give a like !!

Q: i) Find the exact length of the curve 1 15 4x3 y y = ii) Find the exact area of the surface obtained…

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Q: c) i) Find the general term (an) of the sequence 4e-³,5e-6, 6e-⁹,7e-12, 8e-15,9e-18, ... ii)…

A: The objective is to find the solution of the above question.

Q: Question 4 of 20 < View Policies Current Attempt in Progress Determine whether the statement is true…

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Q: Q2. A second-order non-homogeneous differential equation is given by dy d²y dx² - - 10- (a)…

A: We can solve the given differential equation .

Q: . Use separation of variables to solve the differential equation explicitly for u. du dt = 4 + 4u +…

A: topic:- differential equation

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Q: Find the general solution to the differential equation. y' = eyx2 y =

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Q: ! -<0<, an integral was transformed to the form 11 -do. sin 0 cos³0 In terms of x, the integral I is…

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Q: Find the average rate of change of the function f(x)=8-3x between x = -4 and x = 1. Type an exact…

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Q: Given: f(x) = x³ − 6x² + 9x + 5. Find the ABSOLUTE MINIMUM value of f (x) on [−1,2]. A. -11 B. 7 C.…

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Q: If f(x) = 2x + 3 and g(x) = 3x + 2, what is the value of f(g(3))? 16 O 20 O 25 O 29

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Q: Question 13 of 20 View Policies Current Attempt in Progress Determine whether the statement is true…

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Q: 6. A solid is bounded by the surfaces z = 4 and z= √√x² + y² . Find the exact value of the volume of…

A: To find the volume.

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Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 Σ…

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Q: Consider the following function. f(x) = 4x² - 2x Find the limit. lim Az-0 f(x+ Ar)-f(x) Ar

A: Where , fx+Δx=4x+Δx2-2x+Δx fx=4x2-2x   Putting in the limit we get

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Q: Find the domain of function = 2x² 2 e f(x 0

A: We need to find domain.

Q: Use the figure to evaluate the definite integrals y = g(t) K +t 1 2 3 4 5 2 y 1 + -1 -2- +2 +3 2…

A: We can find the area under a curve between two points can be found by using a definite integral.

Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A: Topic = Functions

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: X-0 X X f(x) -0.1 -0.01 -0.001 0 ? 0.001 0.01 0.1 Use the result to estimate the limit. Use a…

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Q: 3 If f(x, y) = x³ + y² − 1, then the directional - derivative at the point (-1,2) in the direction…

A: A detailed solution is given below.

Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

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Q: Suppose you have 1640 meters of fencing available with which to build three adjacent rectangular…

A: answer is in next step . please give a like !!

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 20. Then…

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Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: The given function fx,y=2x3-6x+6xy2

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Q: Question 1 of 20 o f(x) O View Policies Current Attempt in Progress Find a formula for a rational…

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Q: If an = n²(n+5n²) 4n4-n²+1' then by using the Nth term test for divergence, the series Σ an…

A: We have to find if given series converges or diverges.

Q: dy Find for y = dr dy dr || r J√3 + 0 3 + 4t2 dt.

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Q: (a)) The base point of the surface is (0,0,0) and its axis (of symmetry) is the line (x, y, z) = (0,…

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Q: Find the general solution of the following differential equation. y" + 14y' + 50y = 0 NOTE: Use C1,…

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Q: solve the following diffrential c) x²(y+1)dx+(x²-1)(y-1)dy=0

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Q: Evaluate and Solve for all solutions of x over the domain 0≤x≤ 2π. Use EXACT values IF POSSIBLE. If…

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Q: View Policies Current Attempt in Progress Determine whether the following statement is true or…

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