(a) Consider the following. -5 5 5 -5 Identify the surface graphed. O cylinder O paraboloid O cone hyperboloid of one sheet O hyperboloid of two sheet Match the graph with its rectangular equation. 36 2 O x2 + y? 49 O x2 + y² – z2 = 6 -

Q: (4x* – r*y +y*)dx + x*dy = 0.

A: Let's find.

Q: S tan? 3y sec® 3y dy 2 tan 3y + tan 3y + tan" 3y + C O A none of the choices 2 tan 3y + 1 tan" 3y +…

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Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: irvature and the radius of curvature at the stated poi r(t) = 6 cos(t)i +6 sin(t)j+ 7tk; t= 2 r the…

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Q: The antiderivative of [Vx²-25 dx is x2 – 25 – sec-lx+ C. A True B) False

A: ∫x2-25xdx

Q: : Se' com (7e')cos (4e")de Evaluate: (A) -cos (3e") –cos (11e*) +C 22 -cos (3e*) + -cos (11e*) +C B…

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Q: 6.Find all the first partial derivatives of each function x² – y² c. f(x,y) ху с. = d. f(x,y)=e* cos…

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Q: Example Evaluate +f -P) dpdgdr (p2 + q² – r²) dp dq dr + pq² – pr2 dq dr 3 1 + q? ² – r? } dqdr 3 -…

A: Let's find.

Q: 1 et dx 1 (1 — е*)2

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Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

Q: Question 12 In x³Vx2 - 625 dx , if we let x = 25sece, then dx = 25secede. True F False

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Q: 1 In solving the antiderivative of f(x) = 2 - sin(x) by miscellaneous substitution, the substitution…

A: Here we have to use the subsitution.

Q: solution

A: We have to choose the correct option from the given options according to the given information

Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2-5x 3 find: f'(2)

A: Given: f(x)=4x+11 f(x)=2x2-5x-3

Q: If f(x) = 2x + Ax?+ + Bx – 5, find the value of A when f(2) = -3 and f(-2) = -37 -5 -3

A: A=-15/4

Q: sec'x tan?x dx, can be evaluated by using trigonometric transformation. A) True B) False

A: Let's find.

Q: Find y' if ey+y²=2x. yey – 2 y'= хе + 2у хе + 2у y'= ye – 2 хе*У + 2у y'= 2 – yey 2 – ye y'= хе*У +…

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Q: dx Evaluate: x/9x2 + 4 None of the above V9x2 + 4 + 2 In 4 f (x) = +C © f(x) = -2ln V9x2 +4 + 2 + C…

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Q: S sin x (cos x)ådx (cos x)ž + C none of the choices (cos x)Z + (sin x)ž + C O A B.

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Q: Find the derivative of f(x)= (In x O a. 6x(In x) O b. 24(In xỷ c. 24 In x O d. 12(In x)

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Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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Q: 00 sinde 2ode Estimate the slope of the tangent line. (b) what are the.units of measure for the…

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Q: x² – 25 S The antiderivative of dx is V x2 – 25 – sec-lx+ C. A True В False

A: follow next step

Q: Je* cos (7e*) cos (4e*)dx Evaluate: @ --co (3e*) -cos (11e') + C (3e*) – -cos (11e*) +c A 6. 22 ®…

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Q: Question 7 dy = 2/y- 5In|Vy+ 5| + C Vy+5 T True F False

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Q: 5xy = 4x²z – 3yz²; yx and y,. %3D -

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Q: Suppose that y, denotes a nontrivial solution of the following second-order differential equation:…

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Q: Give the VALUE only. No need to include the unit. * A chemical manufacturer sells sulfuric acid in…

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Q: 1 In solving the antiderivative of f(x) = 2- sin(x) by miscellaneous substitution, the substitution…

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Q: R={ (x,y): 0<x, 0<y, x² +y? <9} be enclosed region. The result of the following double integral (by…

A: We have to find value of given double integral.

Q: Work Problem 1 (With integrity statement] ( Let R be the region bounded by y-x+2, y=0, and x=2. Draw…

A: Given; I=∫∫R-2ydA And y=x+2, y=0, x=2   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: S tan³ x sec x dx sec3 x - sec x + С none of the choices sec³ x + sec x +C 1 sec3 x + sec x +с В

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Q: The volume enclosed by the cylinders z= 5-x,z= 4x and the planes y = 0, x+ y =1. Solution

A: First we will draw the region and find limits for x, y and z

Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r + 20 and s3 = 5t² + 40r, t20,…

A: We have to find time when velocity of both cars will be equal

Q: UsinG PYTHAGORE AN IDENTITY, SOLVE FOR [sin Gx) - cos (Vx)] - 3x5 COS

A: The integration of the integral is  [sinx1/3-cosx1/3]2/(3x2/3).

Q: After appropriate substitution, the integral expression a* (x2 + 4)? dx can be express as (choose 2…

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Q: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t < 7 %3D L

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Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2 5x 3 find: f'(2) |

A: We have to calculate value of derivatives function for the given x value.

Q: 20х* 5. (25-16х"°

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Q: x² + 64 Using trigonometric substitution, given -dx, the simplified form of the integral is: x2 sec³…

A: Given: ∫x2+6464dx

Q: There are 150 students in the marching band, and 30 of them play the trumpet. Which number line…

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Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

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Q: a. f(x) = 4x + 11 find:f'(-2) %3D b. f(x) = 2x2 - 5x – 3 find: f'(2) %3D

A: derivative

Q: Consider the functions f(x) = -2r + 15 g(x) = x² h(r) 16 A graph of the three functions is provided…

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Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

A: Let's find.

Q: y' = et ; y(0) = 2 find the general solution

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Q: Question 6 xdx can be solved by either algebraic subsitution or integrataion by parts. х - 1 T True…

A: We solve it by integration by parts.

Q: Select as many answers as possible. * Find the absolute extrema of the function 2/3 f(x)=(x+1)* in…

A: f(x)=(x+1)(2/3)    ,    [-2,1] f'(x)=2/3(x+1)(-1/3) At critical points f'(x)=0 2/3(x+1)(-1/3) =0…

Q: Find all values of x that satisfy the equation f'(x)= g'(x) it f(x)= sin x and g(x)= cos x. 3T +k T,…

A: We can solve this as follows:

Q: a. Neither I nor II

A: