Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. 0 2 ਨੀਲੀਆਂ 41 /2 n 41 21 81 10 4 3 3 3 3 3 -2

Q: 4 3. y = sin ¹2x cos4 3x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Question 3 Differentiate: y = arccot (x)+ arctan 01 O (E) None of these Ⓒ2x O 1-2x O < Previous 1-2z

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Q: The function f is defined as follows. 2x if -2<x<0 f(x) = x³ if x20 (a) Find the domain of the…

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Q: the slope intercept equation of a line that passes through (0,-6) and (3,-4) is

A: Given points are (0,-6) and (3,-4)and here (0,-6) is (x1,y1) and (3,-4) is (x2,y2)We know the slope…

Q: An equation of a conic is 5 r = 3+2 sin 0 Identify the conic, find the eccentricity, write an…

A: A conic section with a focus at the origin, eccentricity e, and directrix at x=±p has polar…

Q: C. ¡(4eª + x¹/³)dx

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Q: ✓ Find the arc length of this portion of the curve. Round your answer to two decimal places. L =…

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Q: Part 1: Part 2: Part 3: Part 4: Let h be the height of APQR. Find the length of the corresponding…

A: Part 1  as h is height  base  = PQ  length of base = 20 mm

Q: 3. Find the derivative y' for each of the following curves/functions. Show all work toward your 12…

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Q: valuate the triple integral ***"* sin² (z)ze-²v³ dzdyda

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Q: 3t AT(1) The temperature T of a person during an illness is given by T(t) = +98.6, where T is the…

A: T(t)=3tt2+3+98.6A)T'(t)=(t2+3)ddt(3t)-3t…

Q: Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x +…

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Q: y=x√3-2x³

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Q: A company can buy a machine that is expected to increase the company's net income by $15,000 each…

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Q: 18. Applying the sum (difference) rule, what is the derivative of the given function? F(x) = sin x…

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t)= -0.009t² +0.8t where…

A: Given

Q: 3. Find of the following equations: dx a. y = (e-3x² + 7x² + In 8x)* b. √xy = 2x²y - 8x c. x = sec…

A: Just taking derivative of problem (b) and using product and chain rule of derivative and then…

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

A: Given :

Q: 1. Use the graph of y = f(x) given below to find the answer to each of the following. You do not…

A: By using the graph of y=fx given below to lisy all the intervals on which f is increasing.

Q: Sketch the region R and evaluate the iterated integral x, y) da. [²³²(¹-2x - 2x + 8y) dy dx

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 0 3 2- AA. - 2n…

A: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below.

Q: 5. Consider the function below. Is g continuous on (0,117 on (4,1)? Why or why not? 20 if z ≤0. 3 if…

A: check continuity

Q: 6. What is the integral that describes the enclosed region between y = 4x - x² and the x - axis ? A.…

A: Given problem:-

Q: The f cos 5x cos x dx is 1 {A} = sin 4x - 12 1 1 {B} sin 4x + - 8 12 cos 6x + C cos 6x + C {C} {D}…

A: Given problem:-

Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: . Given the fx²dx, which of the following is the integrand? C. x² A. 0 B. 2 D. dx

A: To determine what is integrand.

Q: 8. Sketch the curves and determine the area of the region formed in the given interval: y = √√2x, y…

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Q: Find each limit, if it exists. +1 (a) lim x→∞0 x4 5 (b) lim x00x³ +1 5 (c) x³ + 1 lim x→∞0 x2 - 5

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Q: 2. Boyle's law for the expansion of gas is PV = C, where P is the pounds per square inch of…

A: P V =Cdifferentiating w.r.t. time t;P dVdt+VdPdt=0P=5000 pounds per square foot.V=8 ft3dVdt=4…

Q: 8. Use the method of Lagrange multipliers to find the maximum value of the function f(x, y) = xy…

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Q: Find the length of the parabolic segment r= 6 1 + cos 0 The length is. (Type an exact answer, using…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: Question 5 Find the derivative [f(x)]; f (x) = 3 ln (In (x²-3x + 5)²). O3(2x-3) ²-3x+5 3(2x-3)…

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Q: 4. Use mathematical induction to prove the truth of each of the following assertions for all n ≥ 1.…

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Q: Evaluate the following 2- S ( 37/3 + 5x² + 3) dx

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Q: 3. Solve the linear system below using Cramer's Rule. a+b+c+d=13 2a + 3b c = -1 -3a + 4b + 2c + d =…

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Q: Show that if x is an integer, then gcd (x+1, x^2 -x +1) divides 3. Use this result to find knowing…

A: Solving

Q: The f xcos x² 1-sin x2 dx is

A: Given :

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: Write the conjugate of √a +3

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Q: 2) √ x¹ (5-x²) dx

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Q: The f sin 2x cos 2x dx is 1+3 cos 4x 1 sin²4x + C 24 1 In|1 + 3 cos 4x| + C 12 {A} {B} {C} - In|1 +…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: Evaluate the iterated integral. 18 5 (x + y²) dx dy

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Q: When can you not use partial fraction decomposition?

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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: 1. y = (5x + 2) (3x² + 7)7

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +3 1 = lim t+ (?, ?) 8t2 +9'2t

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Q: Use the method of Laplace transforms to solve (O) 0 (0) 0.

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Q: 9x Area bounded by the curves y=e*, y=e³x, x=0 and x = ln2

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