Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

Q: y as a one-to-one function of x.

A: The given graph is:

Q: Evaluate I = Se(sin z + 4y) dz + (5x + y) dy for the nonclosed path ABCD in the figure. %3! A =…

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Q: If f(x) = kx, determine the value of k that makes f(x) a probability density function on 0<xs4.

A: Given,           fx=kx2To find : Determine tha value of k that makes fx a probability density…

Q: Find the exact length of the curve. y = 2/3(1 + x2)3⁄2,      0 ≤ x ≤ 4

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Q: 30. For a certain continuous function f, the right Riemann sum approximation of f(x) dx with n…

A: The right Riemann sum approximations of ∫02f(x)dx with n subintervals of equal length is…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Follow the procedure given below.

Q: a5 %3D 532x 4. dnti

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Q: Fill in the Venn Diagram below by dragging the appropriate entry to the correct location given that:…

A: Given  n(A∩B∩C)=3n(A∩C)-B=18-3=15n(A∩B)-C=14-3=11n(B∩C)-A=13-3=10only A = 36-15-11-3=7only B = 30…

Q: Written Works Evaluate the following Integrals. 1. S sin ycosy dy 2. sin3x dx 3 1 3. Jс S cos-y dy |…

A: Given: 1). I=∫sin3ycosydy  ....(1)   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1…

Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: Question The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x)…

A: Here we have to find the interval over which derivative of f(x) is negative.

Q: For the function f(x) 5x³ – 8x² + 8, , Step 1 of 2: Find the slope of the tangent line at x = 1.

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Q: x 6. Copy each graph of (x) and g(x). Then, apply the superposition principle to graph f(x) + g(x).…

A: Graph of the functions f(x) and g(x) are given, we have to graph f(x)+g(x)

Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

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Q: 4 | (5a' + 4x")dr Find 3

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Q: dx Evaluate: XV x2 + 4 1 A) x² +4 – 4 + C x² + 4 +4 - x² +4 – 2 +C 1 (B 2 x² + 4 + 2 x² + 4 – 2 +C 4…

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Q: - 5x Use the Taylor polynomial of degree four for the function f(x) = e at x = 0 25 125 625 P4(x) =…

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Q: The temperature T (in "C) in a freezer as a function of timet (In hours) is given by the function…

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Q: A balloon leaves the ground 50 ft from an observer, rises at the rate of 8 ft/sec. How fast is the…

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Q: c. lim (4x -V16x² +3x - 5 X00

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the line integral Ĥ. dř where Ĥ = e" î + [xe" + In(2)] ĵ + º Â and the curve C is defined…

A: Given problem:-

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A: We have to choose the correct option from the given options according to the given information

Q: x³(1 – x²)² 2 4y = in (1+x²)²

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Q: If f (x) = Vx + 7 and g(x) find f(x) g(x). %3D Keypa Answer Keyboard Shorte f(x) · g(x) =

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Q: %3D 4 4

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Q: 5. (4xy-y²+10x²+sin x)dx+(2x²-2xy+ cos y )dy=0

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Q: Solve the following differential equations. 2. x sin 3y dx + cot 3ydy=D0

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Q: Recall that the Fibonacci sequence {xn} is defined by 1, x1 = 1, xn+2 = xn + xn+1, for all n > 0.…

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Q: Find the area of the triangle with vertices P(1,5, –4), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

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Q: Find the verticies and foci, and sketch the graph: x2- 4y2 = 4

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 1 e length of a petal on a certain flower varies from 2.56 cm to 6.76 cm and has a probability…

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Q: Consider the power series P (x) = ∞ ∑ (2n/5n+1)xn=1/2+x/3+2x2/13+43/64+... n=0 (a) Find its radius…

A: We have to find radius and interval of convergence.

Q: Determine the inverse Laplace transform of the function below. 17 S +81 Click here to view the table…

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Q: 74. Aerobic Exercise A woman keeps fit by bicycling and running every day. On Monday she spends h at…

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: To find an antiderivative of a constant times a function, set aside the constant and find the…

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Q: PQ1

A: Given, f'(x)= cubic function  We know that, If we take the derivative  of the given function, We…

Q: Find a polynomial of degree 3 such that f(0) = 5, f'(0) = 10, f''(0) = 15, and f'(0) = 20. P3(x) =O

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Q: The amount (in milliliters) of a certain drug in the bloodstream x minutes after being administered…

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Q: log, 3450- log, 6- log, 23

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 5 F(x) cos (t*)dt. CoS…

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Q: %3D It has been determined that the cost of producing x units of a certain item is 8x + 365. The…

A: We have to find profit function.

Q: Find the area of the region enclosed by the rose r = 18 cos 30. NOTE: Enter the exact answer.

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Q: Find the graph of the following ellipse. Identify the domain, range, center, vertices, endpoints of…

A: Given:      x225+y216=1

Q: Find dy/dz y=f(z) (2x2+3x+1) where f(z) is a general function and z=4x3+2

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Q: Evaluate the following integrals. Show the solution. 1. S csc? (7x + 5) dx 2. fx? sec (4x³ + 9) dx…

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that…

A: answer is in next step

Q: Find the flux of the vector field F(x, y, z) = across the surface S, where S is the part of the…

A: Given

Q: one-to-one function is given. Write an equation for the inverse function. x-3 t(x) = x+7 () = D %3D

A: Given query is to find the inverse function.

Q: Does the following series converge or diverge? 9+8 cos n Σ n' n= 1 The series converges. The series…

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