Problem 1: (1+ cos x) y' sin æ (sin r + sin x cos x – y)

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3. In (cose) tane d...

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Q: Tucker is interested in the number of stray cats near campus and has tracked 100 stray cats that wer...

A: The number of stray cats living near campus each subsequent year is recorded in the table below:

Q: dt 4е-t — et

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Q: 47-50. Level curves Consider the paraboloid f(x, y) = 16 %3D - - 4 16 and the point P on the given l...

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Q: Let f(x) = 9 cos(sin(z°)). %3D Then f'(x),

A: Using the chain rule of differentiation,

Q: Evaluate the following integral: 3x sech2 (In sin(x²)) 24. 4 tan(x²)

A: Given :  Let I=∫3x sech2ln sinx24 tanx2 dx To Find: To evaluate the given integral.  

Q: Some values for the function f(x, y) are given in the table below. x\y -3 -2 -1 1 3 7 6. 1 4 -4.1 2 ...

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Q: 13 Solve each triangle. Round answers to the nearest tenth. 9) 10) A 12 C 31.9 13 B 14 12) 11) A 39 ...

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Q: a manufacturer finds that the revenue generated by selling x units of a certain commodity is given b...

A: Follow the procedure given below.

Q: Differentiate the function after first rewriting the function in a different form. (Do not use the p...

A: The objective of the question is rewrite the function in different form and determine it's derivativ...

Q: 1- y = vx – 1 dy 2- y = prove that (sin x) dx = cOs x

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Q: f(x) = -3x³ + 8x – 5

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Q: sin2t costdt (A sin2t cost C sin?t D sint E cos?t F None

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Q: If f(x) = sin(a), find f'(x) Find f'(4)

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Q: Find (fo g)(x) and (go f)(x). 1(x) = 6x + 1; g(x) = x (fo g)(x) = (Simplify your answer.)

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Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear ...

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Q: Given the following table, give the best estimate for f'(3) 6. 12 15 f(x) 30 41 51 60 28 The estimat...

A: Function values are given in the table, we have to find the estimate for f'(3)

Q: Eliminate the arbitrary constant of: y=Cq+C2e¯4t

A: We have to find differential equation

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify...

A: Apply integration to find the area of the region

Q: sin2t costdt (A sin2t cost C sin?t D sint E cos?t F None

A: We have to find the integral

Q: At what points is the following function continuous? 3 X-216 x#6, x# -6 x- 36 f(x) = 9, x= 6 4, x= -...

A: Explained below 

Q: Consider the curve defined by the equation 2x +y 3xy for questions (4-6). 3. 2 -3 -2 -1 1 2 3 -1 -2 ...

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Q: Analyze the polynomial function f(x) = (x + 6)(x – 1) using parts (a) through (e).

A: Given:- f(x)=(x+6)(x-1)2  To find:- c. Determine zeros and multiplicity d . maximum number of turnin...

Q: Calculate the arc length of y = 15 – 14x over the interval [1,3]. (Use symbolic notation and fractio...

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Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: t y = t dy Find dx 1 8t dy dx t dy Find dt dy dt + II II

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Q: Save your solution for this problem to answer the other problem connected to this. Consider the curv...

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Q: 00 1 7. n2 +1 n=1

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Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: Use the figure to find the exact value of the trigonometric function. Find cos 20. 3.

A: We can find the value of cos2 theta as below from the figure

Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

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Q: If f(x) = (a + 3r + 2)", then f'(x) - f'(1) =

A: To find out f'(x) and f'(1). 

Q: Find the arc length of y = (x +4) + (x + 4)- for 1 < x < 2. (Give your answer to three decimal place...

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Q: The graph of y: f(I) (solid) and y = g(1) (dashed) is shown 6+ 4 - -6 -5 -4 -3 -2 -1 -2 -4- -5 t6 2)

A: Given graph:-     To find:- a.     limx→1-f(x)g(x) b.     limx→1+f(x)g(x) c.     limx→1f(x)g(x)

Q: Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y...

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Q: The function f(x, y) = sin(/3x² + 3y²) corresponds to plot [ Select ]

A: Find your answer below 

Q: 7 Consider the function f(x) 10 Let F(x) be the antiderivative of f(æ) with F(1) = 0. Then F(x) =

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Q: Which of the following limit laws is NOT applied? lim (2? + 7æ – 5) = 13 O Limit of a Constant O Lim...

A: laws of limit

Q: x + 5 ½ = 20 Find x.

A: Given              x + 5^(1/2) =20

Q: Determine the point on the curve at which the slope is 18. r³ - 9x – y = 0

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Q: Why do exponential functions and logarithms get such a bad rap? What is there about them that makes ...

A: exponential function is a mathematical function,q mainly used to find the exponential decay or expon...

Q: lim 극 et – 1 x-1

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Q: Solve each triangle. Round answers to the nearest tenth. 9) 10) 12 13 31.9 B. 14 12) 11) 39 12.6 47 ...

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Q: 15) tan-l –1 --1 V2 17) cos 2 1 19) tan- 1

A: Given: 16)  tan-1-1

Q: Assume that p, q : S' > → R are continuous and p + 0. Find all solutions of the differential S1 equa...

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Q: Express the product as a sum or difference. sin 6x sin 4x (cos 10x - cos 2x) O sin2 24x2 (cos 2x - c...

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Q: Convert the numeral to a numeral in base ten. AFD5 sixteen

A: Here we have to convert the given numeral to a numeral of base 10.