Write the equation of a sine or cosine function to describe the graph. 3- 3 1 π - 4 4 -2 -3 r k | 2

Q: أ 12, x > 1 (b) ) 5 f(x) dx

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Q: L=

A: Follow the procedure given below.

Q: Find an equation of the plane that is passing through the point and is perpendicular to the line L.…

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Q: Use the properties of natural logarithms to simplify the expression. In(e) П

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Q: Answer B True False The derivative of the function y=x²log (1-x²) is x² y=2xlog (1 - xảy - 2 1-x

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Q: Part 1 of 5 - Part I Given the set X = {x € R³ : d(x,a) <r}, where d is the usual metric on R³. A…

A: A set is closed iff its complement is open. So a set is not open iff its complement is not closed.

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: 1 A tank with a capacity of 400 gal initially contains 100 gal of water with 50 lb of salt dissolved…

A: 100gal=Initial amount of water in 400gal tank50lb=Initial amount of salt in the tank1lbgal=salt…

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

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Q: dy e2y-1

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = = 11 cos(t)i + 9 sin(t)j…

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Q: The proper transformation for sin²x to make the f sin²x dx readily integrable is {A} 1- cos²x {C}(1-…

A: Given the query is to find the correct option of integral.

Q: Determine the equation of the tangent line to the function f(x) = x square root (5-x^2) at x = 1

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Q: The cos³dy is {A}-sin+sin³+C 3 3 3 4 {B} sin¹-sin³+ C 3 4 3 4y (C)-sin-sin³+C {D}sin+sin³+ C

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Q: Evaluate the following integrals. 2. √x+ +5x² x4+5x³+20x+16 x(x²+4)² dx

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Q: ANSWER

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Q: Given: 6x³2x²+3 dx. Using integration by parts (udv Svdu) and dv = uv - letting u= f(x), dv= 3 g(x)…

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Q: [10 sin(2x) cos(2x) √ cos²(2x)-5 dx O a. 5 (cos² (2x)-5) ³/5 + C 3 5 O b. -(cos² (2x)-5)³/2 + C OC.…

A: To evaluate the given integral.

Q: nd f such that f'(x) = 2x² + 9x-9 and f(0) = 8. x) =

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Q: find dy/dx of each equation using implicit differentiation. a. (x+y) / (x-y) = y2 b. 2xy - y2 = 3

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Q: A company can buy a machine that is expected to increase the company's net income by $10,000 each…

A: Given Continuous annual stream function R(t)=$10000 time t=10 year  ; M=10 Rate of interest r=6%…

Q: Find the laplace transform of f(t) = 21² +41 - 5 F (s) = F(s) = O O -5s² + 4s + 4 53 -555 +454 45³ -…

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Q: 9. (y³+4)√1- cos² (y4 + 16y) ». f (y ³. cos(y¹+ 16y) () 2. dy

A: Answer of the above integration is

Q: PH Given: = ln(x²y-1); Find dy/dx.

A: Given xy=ln(x2y-1)

Q: using an online graphing app, construct three graphs which lie on the interval (-8,8) choose three…

A: The given interval is -8, 8. We have to sketch three graphs on the interval. Let us take functions…

Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: Find lim h(x), if it exists. f(x) = 4x² + 2x + 6 (a) h(x) lim h(x) = (b) h(x) = lim h(x) = (c) h(x):…

A: We have to find the following conditions according to the given information

Q: Draw the graphs of the given functions. Find their points of intersection. Find the area bounded by…

A: Given

Q: Determine whether the improper integral diverges or converges. 00 √x³²e-x dx O diverges Evaluate the…

A: To find the integral: ∫0∞x2e-xdx converges or diverges.

Q: 18. In each part, evaluate the integral, given that f(x) = (2x, x≤1 x>1 2, (a) forex f(x) dx (b)…

A: 18.fx=2x,x≤12,x&gt;1

Q: 1 - √xdx

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Q: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

A: A.  Function is increasing when f'(x) &gt; 0  from graph  Function is increasing…

Q: Evaluate the iterated integral. 6 [[° (x + y) dy dx

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Q: Decide whether the integral is improper. 00 [ In(x8) dx O proper O improper Explain your reasoning.…

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Q: Find the future value of a $30, 000 annual income stream if it is invested immediately as it is…

A: Solving the problem by finding the value of compound interest.

Q: y = 5x6 − 6x² + x +4

A: Follow the procedure given below.

Q: Evaluate the definite integral. NOTE: Enter the exact answer. | ||ti + 1²3|| dt =

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Q: Solve for the limit of the following limits functions. Write your answers in simplest forms. If the…

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Q: 5. A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the…

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Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: Using trigonometric substitution, Find the new limits of integration. (A) None of the choices B 2 6…

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Q: Determine whether the improper integral diverges or converges. 4 00 1.00 cos(7x) dx 10 O converges…

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Q: A. Indefinite Integrals + C. Evaluate the following integrals. dx x + x3 1 Ans. In x² 1 + x²

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Q: As shown in the figure below, Mai is standing 100 feet from the base of a leaning tree. The tree is…

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Q: 1. y = (5x + 2) (3x² + 7)7

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Q: Find d² y dx² for x³ + y³ = 2 43

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Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: 4x+10 1. S (x-2)(x-1)² dx

A: Given integral ∫4x+10(x-2)2(x-1)2  dx

Q: 9x²-6 2x²-x²-8x+4 B D + x + 2 mx + n None of the choices 4 To evaluate A x-2 A 9 B 3 E 2 S + -dx…

A: