Evaluate the integral COS nx dx

Q: Determine the indefinite integral | 5x4(x5-6)8 dx by substitution. (It is recommended that you check…

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Q: S- |-3x cos 4x dx 3 A)- cos 42 -x sin 4x +C 16 B) cos 4x --x sin 3x + C 16 3 cos 4x - 16 cos 4x - 3x…

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Q: b) Calculate the integral: - .- (x+ 2y) dædy where the region R is defined as: R= {(x,y) E R² : 0 <…

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Q: For the function S-22 + 3x if z <1 f(x) = | 2x + 2 if z 21' evaluate the limit lim f(x). (If a limit…

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Q: Evaluate the integral (Trigonometric Substitution) 1 (n²z6 – z®)ždz

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Q: Question B1 (a) Find the values of a and b such that ax + b – 2 lim

A: Given query is to find the value of a and b.

Q: Evaluate the integral sin x dx (2 + 3 cos x)2

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Q: Find the curvature of r(t) = (9t, t2, t) at the point (9, 1, 1). Need Help? Read It Watch It

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Q: Select the correct graph for the given function y = In(x+2) 4 3 2 1 + +++++ -8 -6 H 8 4 6 -4 -2 2 >…

A: Solve the following

Q: FIND THE GIVEN DIFFERENTIA Non Exact Equation ( 2x* - y) dx + x dy =0

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Q: -5 4 -3 -2 /-1 1 2 3 4 The function graphed above is: Increasing on the interval(s) Decreasing on…

A: topic- increasing and decreasing intervals of function

Q: Evaluate the integral cos3 x + sin² x + 1 dx cos² x (sin2 x + 1)

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Q: (a) f(x) dæ %3D

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Q: Write the complex number in standard form. (Simplify your answer completely.) 3 - -64

A: This question can be solved using the concept of complex numbers.

Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

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Q: 4x* -1 +5x°+2x² 3 X+1

A: topic - long division of polynomials

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Q: ve the given ODE using Laplace Transform a. y" – 4y' + 3y = 6t – 8 ; y(0) = 0, y'(0) = 0 -

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15x +…

A: here i am giving my handwritten solution.

Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

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Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

Q: The function f(x) = 2x° – 33x² + 180x + 8 has one local minimum and one local maximum. Use a graph…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. (for saddle points,…

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Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x)=4x; R(x)=6x-0.001x^2

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Q: Find the arc length of the graph of r(t) = eviti + e¯V#tj+ 2tk, 0 <ts v2 In 5 NOTE: Enter the ezact…

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Q: Note: Enter 'DNE' if the limit does not exist or is not defined. a) lim F(x) = 3 lim F(x) = 3 X--1*…

A: Solve the following

Q: Given the equation x – 2xy = 4, A. What is the slope of the line tangent to the graph of the…

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Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

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Q: I sin x O S(z) %3D COS

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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

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Q: Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this…

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Q: Using a trigonometric substitution, the integral dz becomes: 2+25 (a) 25 (tan 0) (sec 0) de (b) 5 /…

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Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A: To find the equation of curve

Q: Set up the definite integral required to find the area of the region between the graph of y = x y =…

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Q: Use long division of pol

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Q: Select the correct graph for the given function y = 5+log(x+2) > 10 6 ++ 2 -10 -8 -6 -4 -2, 4 6 8 10…

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Q: 6х3-5х2 +9х+15 Зx+2

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Q: 36 Use substitution to find the indefinite integral dx. (6x - 7) 36 dx = 7 (6x - 7)'

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Q: eax sin bx dx

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Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

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Q: whether the selic) H6 use un appropriate test to determine whether the" selics gilon wnverges or be…

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Q: A company estimates that it can sell 2,000 units each month of its product if it prices each unit at…

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Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

A: Let's find.

Q: Evaluate (if possible) the sin

A: answer is in next step

Q: Given the following cost and revenue functions: C(x) = 10x+ 3 %3D R(x) = 40x– 0.6x? A. Find the…

A: Solve the following

Q: Find the equation, in slope-intercept form, of the tangent line to the curve defined by the given…

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Q: (a) Let L and L'be two lines in R3 L: L': = Y=2 = 2=5. Determine if the lines intersect at a point.…

A: We need to choose correct option.