Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

Q: Find the volume of the region bounded above by the sphere x² + y² + z² = 2 and below by the parabo-…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

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Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: This is a problem related to matrix. Based on the general formula and concept we will find out the…

Q: San 4h (x) dx = [ -3 y h 8 2 AN -3 10 4 -1/ -7 -7 7 x

A: From the graph, note that: ∫-30h(x) dx=-1 because area bounded by the curve h(x) is -1 in -3 to 0.

Q: 2. Solve each of the following integrals using integration by part: a) [3x² In 2x dx b) 5x sin 3x dx

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Q: Q2 1. Find the distance between p(-2, 3,0) and Q(2,1,5). 2. Find the direction of A = 2i - 3j + 7k.…

A: Solution is here

Q: For each of the following ,find fx fy fxx fy fyx and fxy f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹e². 3.…

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Q: need

A: We will solve the problem.

Q: Which integral represents the area of R? Choose 1 answer: 3π A 16³ (²1 + 2 cos² (0) + 2 cos¹ (0)) de…

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Q: Differentiate the function. f(x) = x²(x + 8) f'(x) = x³ (x + 8) 3 X

A: In this question, we need to find the derivative of the given function.

Q: 1. Find S [*¹ f(x) dx given ² f(x) dx = 2 and ¹ √ ² f(x) dx = 3

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Q: Find the center and radius of the circle with the equation  x^2 + 10x + y^2 + 10y -146 = 0 enter…

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Q: INSTRUCTIONS: Please write clearly and understandable way. • Write all the corresponding Given with…

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Q: t = b? Choose 1 answer: b Ⓒ / ° v A a © B Ⓒ a b cb a a b e20t+t6 dt e10t+t³ dt 10e10t+ 3t² dt…

A: Topic = Integration

Q: Determine the roots of y"" - 4y" + 3y = 0

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Q: I. 7. Evaluate each determinant. -3 4 -5 2 -3 -5 1 3 5

A: To evaluate the determinant -34-52-3-5135

Q: A large pond initially contains 200 liters of fresh water (no chemical). A fluid containing 10 grams…

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Q: find the solution of following differential equation using Laplace transformation. y" + 3y + 2y = ex…

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Q: 4. Evaluate the double integral: Y SZ (Hint: Change the order of integration to dy dx.) dx dy. +1…

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Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

A: Given

Q: Short Answer 11. Calculate X+W for X- 3) 2 and W- or explain why this operation

A: Given X=70-1423 and W=-4111-122To Find:  X+W

Q: Find the general solutions for these differential equations: a. 2y²dx + (x²y - 2xy)dy = 0 b. y' =…

A: Use differential equation concept

Q: Q4: A) For each of the following ,find fx fy fxx fy fyx and fxy 1.f(x, y) = ln(2x + 3y). 2.f(x, y) =…

A: According to the company rule we can answer only first question and rest can be reposted

Q: A- Answer the following 3s-1 s²+2s+5 L-1.

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Evaluate the following * S sin(4x) dx O cos(4x)/4+C -4cos(4x) + C O-cos(4x)/4 + C O-4cos(4x) + C

A: We can find the answer as below.

Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: (1) we have to fill in the blanks Let I be a proper ideal of the commutative ring r with identity.…

Q: Using exact Solution, find the general solution of the following differential equation: (cos2y -…

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Q: 4. Evaluate the double integral that will find the volume of a solid inside the paraboloid z = 1 -…

A: We need to find volume.

Q: 1. Find ƒ (x) dx given [² f(x) dx = 2 and ₁² f(x) dx = 3

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Q: It is given that the radius of the semicircle increases at the rate of 0.5 cms -1 when heated.…

A: Given ,  The radius of the semicircle increases at the rate of 0.5 cm s-1 when heated We have to…

Q: +00 0 x (x²+4)3/2 dx

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Q: 9. Find the volume of the solid obtained by rotating the region R enclosed by y = -x² + 6x-8 and y =…

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Q: (2) Z/(5) =........ (i) (5) (ii) 5Z (iii) {[0],[1],[2],[3],[4]}

A: We have to find out integer

Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

A: This question is about finding domain & range of a logarithm function.  Which we can find as

Q: Suppose y(t) = = √²²= -du. Answer the following. 1 1+u² 9) Determine if y(t) is increasing or…

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Q: Consider the parametric curve: x = ln(t + 5) y = −6t5 Which integral gives the arc length of the…

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Q: S f(x) dx = [ -6 -5 f -2 Y 7 3 -3 7 X

A: This above given expression of integral is shows integral value of function f(x) from x=3 to x=7.

Q: 13. Use integration by parts to evaluate [x rlnrdr.

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Q: 4 x dx Y 3- SSin X

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Q: PARKING THIS BLOCK 2AM TO 5AM 2 HOUR PARKING THIS BLOCK 9AM 6PM EXCEPT SUNDAYS 15 MINUTE PARKING…

A: Ques (a) According to the third sign (at the bottom), the parking time is between 8 AM to 5 PM. So…

Q: Find the solution of the given initial value problem. ty' +4y=t²-t+7, y(1) = 4, t>0 y =

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Q: 8. Find the volume of the solid obtained by rotating the region R enclosed by y = x² and y = 2 - x²…

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Q: 6 By Separation of variables, Solve the following 5 PDES :- ²4. ²4 0 o 2 dt² dx² u(e,t) = u(5,t) =6…

A: Given

Q: The function f(x, y) = x² + y² √x² + y² +1-1' (a) {(x, y) = (0,0)} (b) {(x,y) = R²2} 2 if : (x, y) =…

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Q: Q6. Let w = f(r,0), r = √x' + y³, 0 = tan'(y/x), ), find aw ?х > and ди ду in terms of r and 0.

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Q: e for (2x + 1) cos(x) dx. 14. Use integration by parts to evaluate

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Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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Q: Find the area of the region bounded by the curves 1 y=; y = = 4 and the x-axis using vertical strip.…

A: Let's find area of the region bounded by curves and given line y=4.