Suppose y = sina, which is TRUE about y? 1 Oy= sin O none of the above y 0 *= arcsing O * = sin y

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

A: Given:a=-3i+2jb=2i+aj

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…

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Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (1,4,5)…

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Q: 2. Find the horizontal asymptotes of the following functions. √9r²+1+2x+1 (a) f(x). 4x +3

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Q: satisfied

A: We will solve the problem.

Q: S If 2x²+x+1 (x-1)(x + 1)(x-2) a A (B) - (D E 3 =1 3 C) None -2 B C dx = MAR √²+1 dx. dx, then the…

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Q: Q2/B) Solve the following differential equation by using homogenous D.E method dy dx = 20

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Q: Problem 1: Use the elementary row or column operations AND cofactor method to find the determinant.…

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Q: 5. fx3* dx

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Q: Svi-x2 1-x2 dx

A: We will solve the problem

Q: Solve the equation to find the value of a,b,c and d. Eqn 1: 6 = 6 b + d Eqn 2: 6 + 4 = 3b + c +…

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Q: The most convenient way to evaluate A True B False S 2x-3 x²-3x+5 -dx is use Integration by Parts.

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Q: dt ·S₂ (²+1)' 17.

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Q: Let Use the limit definition of the derivative to calculate the derivative of f: f'(x) = Use the…

A: Given: f(x)=3x3-6x-4

Q: Question Given compute the following integral. Provide your answer below: (-4f(x) + 4g(x)) dx = […

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Q: St dx tan 1²dt=2x tan x² X (A) True B) False

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Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... for…

Q: usz 52 и (Inn)" 14 и OF U dim

A: We need to find limit.

Q: dx 2. √ 9x² + x³² 12.

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Q: Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find f 6x dx?a.x^2+C. b.2x^2+C c.x^2/3+C d.3x^2+C

A: The given integral,        ∫6x dx

Q: [Select] 3x²+3 ³+3x-4 3x² +3 In{³+3-4} 1 ³+30-4 1 In{³+3x-4} 32-4) A. f'(2) 6.51 B. f'(2) = 1.5 C.…

A: Given function is  f(x) = ln(x3 +3x-4)  20) find derivative of f i.e. f'  22) find f'(2)

Q: 20. √9-5x² X -dx

A: SOLUTION-

Q: 13. (2x³ +9x) dx ²+3)(x² − 2x+3)

A: Given

Q: 3. Use a known Maclaurin series to obtain the Maclaurin series for the following. f(x) = x cos (₁)

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Q: Solve the IVP. y" + 2y + 5y = 3 sin 2x y(0) = 1, y'(0) = 0

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Q: 2. x²+x+2₂ x²-1 -dx

A: Follow the procedure given below.

Q: What is the derivative of y = √5x² + 3x + 2 where x = 1? O no correct answer O2.054 O 2.057 O2.056 O…

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Q: 1. Find given x = 0 - sin 0 dy dx' y = 1- cos 0 1. Find dy given x = et-cos t y = et - sint 3. Find…

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Q: The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level…

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Q: Find the line integral along the given path C. [(x - y)dx, where C: x=t, y = 3t+8, for 0 ≤t≤6 с √(x…

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Q: y = (2x − 1) (x + 4)

A: To evaluate and to solve the function using the product and quotient rule of differentiation.…

Q: Consider the curve, x² - y² + sin (TX) In(x) + x = 0. =

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

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Q: Which equation shows the correct derivative of the equation y = 2x² + 14x + 5? Oy = lim- 4th + 2h² +…

A: On solving this we will get that

Q: Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ − x + y = 0 (b) x…

A: 4x3y2+x4y3-x+y=0Differentiating both sides and isolating y' we…

Q: [Select] A. f(x) = 3x² + 2 B. f(x) = 3x² +4 C. f(x) = 4x³ D. f(x) = 3x4 [Select] A. 6 B. 5 C. 3 D. 2…

A: topic- functions and limits

Q: fxe-*dx= 303 blow Sie f sin (In y)dy =

A: Integration by parts : ∫u·v dx = u·∫v dx - ∫ddxu·∫v dx dx

Q: The difference equation given by A(yt - Yt-1) can be written as

A: Given

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

A:

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Half life and decay

Q: 3cos(6x) How can this value be converted to sin How much is it in sin?

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Q: ▪ x = 1+ y²; x = 0; y = 1 and y = 2 about the y-axis.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. - eu du (6 - e4)²

A: topic- indefinite integral

Q: Determine whether the lines L₁ and L2 are parallel, skew, or intersecting. L₁: x = 6 + 4t, y = 8 -…

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