For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and 2√3 O-3√3 and 3√3

Q: ex e2x + 1 S=² dx

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Q: What value of x is paired to y=15 using the function f(x) = 2x²-3x+1? none of the choices O-2 3 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the derivative of the exponential function. y = x2ex − 2xex + 4ex

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Q: 4. Evaluate the double integral: L Lates y¹/3 x² 27 +1 (Hint: Change the order of integration to dy…

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Q: 4. f(x, y) = 5xy - 7x² - y² + 3x − 6y + 2 5. f(x, y) = (xy − 1)² 6. f(x, y) = (2x - 3y)³

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Q: 1. ƒ(x)=x²- = x² - secx 2. w = ex²-x² + 4x 3. h(z)=In(2z)sin(2z) 3x² 4. y= √x² +1 5. y³ + 2xy = 3

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Q: (3+h)¹-81 The following limit limh→0 h represents the derivative of some function f at some number…

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Q: [[(x²y = 2xy)dydx 1 [ [(2x - 4y)dydx 1. - 3. 2. +] [(x + y + 1)dxdy 4. x²ydxdy 20

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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Q: The graph shown is f(x) = 1⁄x². Y 5 4+ 3 2+ 1 + 54 3-2-11 1 2 3 4 5 -2 -3- 4 -5 X If g(x) = f* f(t)…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32) sin(t)dt

A: The tabular integration is a process of evaluating the integral using integration by parts. In this…

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Q: 1. If A (in²) is the area of a square and s (inches) is the length of a side. Find the average rate…

A: This is a problem related to rate of change of the function. Based on the general formula and…

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A: Explanation of the answer is as follows

Q: Joseph completed the two problems, asking him to explain if there is enough information to prove the…

A: Given.

Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A: See the details solution in below

Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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Q: Find the area of the surface obtained by rotating the curve Y = from x = 0 to x = 1 about the…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32)sin(t)dt

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Q: find the given general differential solution

A: Let, y= emx is a…

Q: H.W find the first four terms of the binomial series for the functions:- 4-(1+¹)¹/² 5-(1+x)*…

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Q: (B): Find the integration by using substitution method √x√2x - 1 dx

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Q: ∫ cos ? ln(sin ?) ?x

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Q: NEED ASAP A business sells 2000 units of a product per month at a price of Php500 each. It can sell…

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Q: - 3)² = 81 then, find its ce or a=<3, -1

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Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 Y =…

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Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, r3³-4x = 1…

A: The given equation is x3-4x=1, (-1,0).

Q: dy/dx=x2+3y2/2xy

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² +5t + 32) sin(t)dt

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Q: Evaluate the double integral that will find the volume of a solid inside the paraboloid z = 1 - y² -…

A: Given function z=1-y²/4 -x² And xy plane  Volume V=∬zdydxV=∬1-14y2-x2dydxGIven z=1-1/4y2-x2 and…

Q: (a) z = 2√1+r²

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Q: -1 7. S. ze³2²–1 dz S² ydy 8. J.2

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Q: Find the equation of the line through P = (14, 13) such that the triangle bounded by this line and…

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Q: = C₁e^ + c₂e^, (-∞0, ∞0); y" - y = 0, y(0) = 0, y'(0) = 5 ex- 25e-x X

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Q: 15.) X (2x+5) 2 dx

A: Indefinite integral

Q: differentiate 3thetacos(2theta)+2sin(2theta)

A: A detailed solution is given below.

Q: f(-7 sinx + 3cosx)dx 4

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Q: find the volume of the solid obtained by rotating the region bounded by  y=2x+6, y=0, x=1, x=2 and…

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Q: Determine the cardinality of each of the following sets. a. A x B, where A = {a, b, c, d, e}, B…

A: a) A=a,b,c,d,e, B=xb) a,b,cc) d) Φ,Φ,Φ,a,

Q: Find the flow of the vector field F(x, y, z) = zi + yj + xk through the unit sphere x² + y² + z² = 1…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² +5t+32) sin(t)dt

A: Using tabular method, given integration is evaluated.

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Since you have asked a multiple questions we are answering the first question, to get any other…

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A: Given

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32)sin(t)dt

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Q: Function Point h(t) = sin t + ¹et (π, ¹¹) (a) Find an equation of the tangent line to the graph of…

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Q: 1. Find the limit, if it exists. If the limit does not exist, explain why. 8x³+2x+1+x+2 (b) lim 5x +…

A: Solution: The objective is to find the given limit

Q: 2. Which integral gives the area of the region in the first quadrant bounded by the graphs of y2 = x…

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Q: The population of a town grows at a rate of r(t) 400 e0.2t people per year (where t is the time in…

A: The population of a town grows at a rate of rt=400.e0.2 t people per year.At time t=3, the town's…

Q: determine the maximum, minimum or inflection point of f(x)= 6x/x^2 + 3

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