21t2. Write a function f Suppose y = 3t + 5 and x = that determines y in terms of x. (Assume t > 0.) f(x) Preview

Q: In Exercises 27-46, solve the rational inequality. x+2 27. x-1 x-4 28. 2x +1 x- 4 29. x-3 4x² – 9 30...

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 - e2x dx

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Q: dx 4 - x

A: Given integral, ∫x24-x2dx

Q: 2. Identify the parent function in each of the following equations: 2 a. f(x) = x-3 b. g(x) = 4x² + ...

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

A: Given:- f(x, y) = 8x2+8y2  constraint g(x, y) =  xy -1 To find  Maximum and minimum value of f(x, y)...

Q: Investigate the range of each parent function below over the interval 0 < x < 1. Then order the rang...

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Q: 9. Use the values f(x) dx = 8 and g(x) dx = 3 to evaluate the definite integral. 9. (a) 3g(x) dx (b)...

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Q: Find the average value of the function on the interval. f(x) = 4 – x2; [-2, 2] Find all x-values in ...

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Q: | 2+4i -3 il %3D

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

Q: The denominator of a fraction is one more than twice the numerator. 16 find the fraction. 21 If the ...

A: First we have to make a fraction then, solve for the given problem

Q: For any 3x3 matrices A & B: Verify that (AB)" = B" A".

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Q: In each of the following, obtain the family of solutions. 1. (x-y) dx + (3x+y) dy = 0 when x=2, y=-1

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Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the i...

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Q: 23. The diagram shows the curve y = x2 – 6x – 2 and the line y32x-9, which intersect when x=1 and x=...

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Q: (y? cos x – sin x)dx + (2y sin x + 2)dy = 0 (Exact)

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Q: The denominator of a fraction is one more than twice the numerator. 16 If the sum of the fraction an...

A: Given that the denominator of a fraction is one more than twice the numerator. If the sum of the fra...

Q: The denominator of a fraction is one more than twice the numerator. 16 If the sum of the fraction an...

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Q: 5. (1— ху)-?dx + [y? + x?(1 — ху)-2]dy %3D 0

A: Firstly Chevy the given equation is exact or not as shown below and then find the general solution

Q: whwat is sinh(7 ln(x)) as a rational function of x.

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Q: Given the following table of values: x f(x) f'(x)| 2 -1 -2 5 4 4 x? – 2x – 1 - A. If g(x) then g' (5...

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Q: Provide a step by step explanation

A: Solution...

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim ху (x, y) (0, 0) x²+ y8

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Q: be real numbers negative). Determine Value for each of the following Stetements and give a Proof Pom...

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Q: Let f(x, y) be a periodic function satisfying f(x, y)= f(2x +2y, 2y - 2x) for all x, yeR. define g(x...

A: Here, given that f(x,y) is the periodic function satisfying: f(x,y)=f(2x+2y,2y-2x)...(1)for all x,y∈...

Q: 3. The normal line to the curve y = f (x) = 2x² at a point in the first quadrant passes through the ...

A: Question is solved.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 1 y = 1, 2x 2

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Q: 1

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Q: 11. Evaluate derivative of the following function using definition of the derivative (limit notation...

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Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of integra...

A: We can find the required integral as below

Q: Find the derivative of y = sin(7x)· sin(6x) %3D dy dx

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Q: Based on the previous item, what is x + 2 lim x→1+ x – 1.

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Q: Suppose that y = (3x² + 4x + 2)/5. dy Find dx dy dx

A: Given:   To determine:

Q: 4. Use the Limit Comparison Test or Direct Comparison Test to test each series for convergence or di...

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Q: rIS assigmen, youu submt anSwerS Dy questiom partS, TITE TIOTTveror subMSSTOTIS TENTiaring tor Eacrq...

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Q: Q : If f,g:R→R are defined respectively by f (x) = x² + 3x + 1, g(x) = 2x – 3 find (i) fog %3D

A: To calculate fog, we need to replace x in f(x) by g(x).

Q: Let f(x, y) be a periodic function satisfying f(x, y) = f(2x +2y, 2y - 2x) for all x, y eR. define g...

A: Given f(x,y)=f(2x+2y,2y-2x) let us assume that x=2x+2y and y=2y-2x Substituting the values  f(2x+2y,...

Q: For complex number z and w, prove that zw- w z=Z - w if and only if z = w or, zw = 1. W %3D

A: Recall: z2 =zz¯

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: From the given curve the bounded region is shown as below. Apply the cylindrical shell method to ca...

Q: Suppose that f(x) = 8x? + 2x. Find: %3D (A) f'(x) = (B) The slope of the graph of f(æ) at ¤ = 2 and ...

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Q: The denominator of a fraction is one more than twice the numerator. 16 If the sum of the fraction an...

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Q: 3. -S2 x-1 37.

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

Q: The denominator of a fraction is one more than twice the numerator. 16 If the sum of the fraction an...

A: Question is solved.

Q: Let f(x, y) be a periodic function satisfying f(x, y) = f (2x +2y, 2y - 2x) for all x, y e R. define...

A: Given:- Let f(x, y) be a periodic function satisfying f(x, y) = f(2x + 2y, 2y - 2x) for all x, y = R...

Q: Given, the following table for f(x), select the statement that would be the most reasonable conclusi...

A: Here we have to choose the right option. Given :- The following table for f(x), x 4.9 4.99 4.999 ...

Q: f14)=4x (xー5x +7) f'l4) %3D

A: f'(4) = 4√x (x3-6√x +7) 

Q: 5. x'dy-y°dx= xydy

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Q: Find equations of the following. z + 4 = xe cos(z), (4, 0, 0) (a) the tangent plane (b) the normal l...

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Q: 3. What is lim f(x)? lim f(x)? Why? 10+ 8. 6 4 2- -5 -4 -3 -2 -1 2 3 4 4. What is the limit of lim I...

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Q: One side of a right triangle is known to be 21 cm exactly. The angle opposite to this side is measur...

A: Given,            One side of a right triangle is known to be 21cm exactly. The angle opposite to   ...

Q: Q : If ƒ,g:R→R are defined respectively by f (x) = x² + 3x + 1, g(x) = 2x – 3 find (i) fog %3D

A: We will find the fog(x) as following.