Question 3 If f(x) = f A sec ³x 1+elanx B 1+tan²x 1+etanx In (secx) √ 1+tan²x C tanx 1 + e sec²x D 1+e tanx tanx 1+1² 1+e' -dt, then f'(x) equals

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A: Given query is to find the cost function.

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Q: determine all inflection points of x^4 + x^2

A: Let,  f(x)=x4+x2 Now, f'(x)=4x3+2xf''(x)=12x2+2

Q: Is the answer correct?

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: To find the volume. Option B is correct.

Q: the matrix has two eigen vector one of * this(ulkyl gil) 3 2 0 0 -1 0 1 0 2 12032

A: We want to write the eigen vector.

Q: C. Determine the Laplace transform of the following function f(x)=x² 1. 2. f(x) = ex, a ER

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Q: 8. 3. √1 - 9t² dt

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Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: Find the area bounded by : f(x)=e*, g(x) = e¯* and x=3. -X A (e³+ 1)² e3 sq. units (e³-1)² e3 sq.…

A: Option (B) is the correct answer.

Q: X-2 dx Evaluate the integral: Sein(x²+3x-7) A x²+5x+In|3x-6|+C B ++ In|3x-6|+C 2 5 © +²2+5x+In/x-21…

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Q: Let one week's supply and demand functions for gasoline be given by p= D(q)-294-39 and p = S(a)= a,…

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Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: here lets assume width of rectangle is b length of rectangle is 2b width change is db/dt = 43 m /…

Q: Find the limits analytically. Show all work and use proper limit notation. √x² +8-3 1. lim X-1 x+1

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Q: Solve the following deferential equations a) (x² - 4xy - 2y²)dx + (y² - 4xy - 2x²)dy = 0. e-2√x : 1…

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Q: Question 8 - Find the radius of convergence and interval of convergence of the series Σ (-3)”.x” √n…

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Q: The sum of one number and five times the second number is 50. A. What are the numbers so that their…

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Q: Verify that 2+ ?х ду 2+ дудх : for f(x, y) = 2x³y6 – 4x5y4.

A: Partial differential.

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A: Solve the following

Q: y= 3 Arcsec 3x

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Q: Solve the following differential equation with initial value = 6x² 2y+cos y y(0) = 0 b) x²y + xy = 1…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: Please see the below picture for detailed solution.

Q: Consider the spherical equation given by p = 4 cos sin p. Determine its corre- sponding equation in…

A: Given

Q: ,3 Which of the following can be determined given f(x) dx = 5, g(x) dx = 7, and ,3 [³h(x) d h(x) dx…

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Q: (Inverse Trigo, Higher Order Derivative, Chain Rule) Directions: Find the derivative of the…

A: The given problem is solved below in detail.

Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

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Q: Question 1 S A - -/-/- B If (0 dx (0+2)(x-1)² 12 93 -ja 12 3 - I 3 B -S[ = √( 14+2+ = -1 (1-12 4 +…

A: We can solve this as follows:

Q: * Integral use to solve if series converges or diverges, give example if true or false

A: It is true that the integral is used to solve if the series converges or diverges. The method is…

Q: 11 Given ~ [²₁_f(x) dx = 0 and [ ² f(x) dx = 1 1 1 4 11 A 6 B C 0 55 0 evaluate • [²³f(x) dx - ²₁²…

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Q: The integral of x^7(2x^6 - x^8) dx with limits -5 to 5

A: Evaluating the definite integral

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Q: d If g(x) = - S* [e'− ln(2t+1)]dt, find g''(x) dx -2 2 A ex. (2x + 1)² 4 (В B et + (2x + 1)² Ⓒe*…

A: Given that gx=ddx∫-2xet-ln2t+1dt

Q: What equation is equivalent to * x² + y² - 8x + 2y = 8? (x-4)² + (y- 1)² = 25 (x - 1)² + (y-4)² = 25…

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Q: 1 m ( x² + 3102=²7) dx x²+3x-7 X-2 Evaluate the integral: Se A +2²2 + — + In|3x-6√ + C Ⓡ X/²2 ₁ B…

A: A detailed solution is given below.

Q: Using the graph of f(a), what is the lim, f(s)? 2 00 O -1.5 8 "00

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Q: A lighthouse is on an island 400 meters off shore. The lighthouse beam makes a full turn every 15…

A: First we diagram the problem, labeling the point A , the lighthouse beam as B and C as another…

Q: y = tan e³x + etan3x

A: (tan x)' = sec2(x) (eax)' = a eax.

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5)

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Q: Determine the integral: x²cosxdx (A) x²sinx+2xcosx-2sinx + C (B) x²sinx-2xcosx+2sinx + C…

A: topic- indefinite integral

Q: 11. Determine whether the lines L₁ given by x=t, y = 1+ 2t, z = 2 + 3t, (with x < t < oo) and L₂…

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Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

A: Given, ∫ 9/√(x2+6x-7) dx We can calculate using substitute method

Q: (1) y=x, y=2-\x/ (2) y=1/x², y = 8x, y = x/8

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Q: y = 3t 1+t³ X= 3t 31² 1+t²³

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Q: B-Find the center of mass of the region bounded above by the half circle y = √ Na²-x² and below by…

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