22) If f f(x) dx = 4, Sí f(x) dx = 4, and f(x) dx = 6, find the value of f(x) dx. = a) 2 b) -2 с) 3 d) -3 e) None of the above

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A: Here, the given region is bounded by y=64-x2.

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A: for critical points, partial derivative should equal to 0.

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Q: Use Euler's Formula to express each of the following in a + bi form. Use symbolic notation and…

A: i) -e3π4iii) eπiiii) 5ie-π3i

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A: Solve the following

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Q: -1 Sketch the function fx) = indicating any extrema, points of inflection, and vertical asymptotes.…

A: Follow the procedure given below.

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A:

Q: 2. Find the limiting values of 3x? + 5x- 4 (i) Sx?. as x → oo x +7 x? + 5x-4 (ii) 2x? - 3x + 1 ás X+…

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Q: )

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Q: a) How many three digit numbers are there that are not divisible by 5? b) there are 12 contestants…

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A: Please refer to the image below

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A: Given that,     f'(x)=x+510-x15-x

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Q: Which graph closest models the following parametric equation on the domain -2 < t < 2? x (t) = t3 –…

A: Given that       x(t) = t3 - 2t      y(t) = t2 - 3

Q: b. f(x) = x - 3 x² – 9 2-

A: The given function is,   f(x)=x-3x2-9

Q: (ii) Using the result of the derivative above and the fact that integration is the antiderivative…

A:

Q: 18 1. Given the graph of the function y, determine the (Note: The curves between x = 4 and x = 6,…

A: Find your answer below

Q: | (6x – 3* dx = / (бх f(u) du where u = (enter a function of x) dx (enter a function of x) = np a =…

A:

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

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Q: Determine whether the improper integral (3- is convergent or divergent.

A: The given integral,       ∫1∞3-2x-32dx

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A:

Q: Which of the following is the correct definition of the limit? The lim f(x) = A, if and only if, for…

A: Explanation of the answer is as follows

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A:

Q: 8xy® 8x8 + 8ys if(x, y) ± (0,0) Let f(x, y) if (x, y) = (0,0) 3xy® За? + 3у12 if (x, y) + (0,0) and…

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Q: Determine whether each improper integral below converges or diverges. dx 3. S 0 x* + 2x – 3

A:

Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x)- cos (2x) 2. y =…

A: 3. y=tan(3x) cot(3x)4. y=cos x1+sin x6. y=xarcsinx+1-x2

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A:

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A: Derivatives using chain rule

Q: (csc e cot é -s cot 6 de

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Q: Use the shell method to write and evaluate the integral that gives the volume x + y? = 16 y 4| 3 2.

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Q: a51 - Find ax2@y3 if f(x,y)-x.e z

A:

Q: Evaluate the following limit: lim (7,y)→(0,0) 5æ6 + 6 sin°(y) 14x6 + y6 3 4 11 15 2 3 The limit does…

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Q: cos x 3. y = tan (3x)cot (3x) 4. y = 1+sin x 5. y = arctan (3x5) 6. y = x arcsin x+ V1- x²

A: Note:- As per your demand we solve question 3,4,6 for you   Given problems:- 3.  y=tan(3x) cot(3x)…

Q: Given f(x, y) = 1æ²y then the total differential df = %3D

A: I have appended the formula used in the solution part.

Q: 2. f 3xe4 dx 2. S 3æet" dx

A:

Q: 1. Let Ā = (-1,2, 3) and B = (4,–3, 1). Find the following. c. [2Ã] – |3Ē| d. [2Ã + B|B a. JĀĪĒ –…

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Q: Solve the I.V.P: dy 1 = 6y°x; y (1) = dx 21 1 y = 24+3z2 1 3z2-24 1 y = 24-3z 1 24-3z? నా నా

A: To find solution of IVP

Q: x°e3» dx (Repeated Integration by Parts)

A: Find your answer below

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Q: In Circle H, Segment RA is a diameter Theorem 100: Inscribed Quadrilateral Theorem Quadrilateral…

A: To prove Theorem 110:  If two chords are equidistant from the center of the circle,  then the two…

Q: —х-1 6. (LO 5) Let f (x) Find the absolute maximum and minimum values of f(x) x2+3 on the interval…

A: Solve the following

Q: (-1,3) -2,1) (0,1)

A: Topic = Functions