Find an equation of the plane. the plane through the point (9, 2, 5) and with normal vector 3i + 5j + 5k

Q: 1 3t(2 – t)²dt -1

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Q: Use the Chain Rule to evaluate the partial derivative at the point (u, v) = (0,5), where g(x, y) = x...

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Q: ý dy マ/2 y+16

A: Given that: ∫y2dy(y2+16)3/2

Q: 7. Consider the region above the r-axis and below y = e=² with x > 1, shown below. 1. Consider a wiz...

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Q: Find the arclength of y = 2x – 5 on 0 < x < 4

A: Topic:-  derivatives

Q: Suppose that a piston is moving straight up and down and that its position at time t sec is given by...

A: Find your answer below 

Q: 1. Find the resultant of the vectors A and B. A = 8a, + 7a, + 2a, В - - За, — 8а, - ба, Draw the vec...

A: Given that: A→=8ax+7ay+2azB→=-3ax-8ay-6az

Q: тӕ 11 if x - 4 If f(x) is a function which is continuous everywhere, then we must have = u

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Q: Evaluate the limit using the appropriate properties of limits. 4x2 - 7 lim 3x + x - 3

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Q: %3D 3. Given a geometric sequence where a= - 128 and a,= - 512. (a) Using the nth term of a geometri...

A: Given

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). I-00 f(x) = cot 1 (14x + 2) !!

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Q: solve

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Q: - 2200x A firm has the marginal-demand function D'(x) = where D(x) is the number of units sold at x ...

A: D'(x)=-2200x25-x2Integrating ∫D'(x) =∫-2200x25-x2dxD(x)=2200∫-x25-x2dx=1100∫-2x25-x2dxusing formula ...

Q: For the differential equation (D³ + D² + 4D + 4)y = 0 when x = 0, y' = -1, y" = 5 Find y when x = T

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Q: 3. (a) Evaluate the following with the trigonometric form of Beta functions(Give your answer in term...

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Q: Vx+I dx. Vx +1

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Q: 2. Evaluate: 3 dr. 2x – 14 (Use limits and avoid words such as undefined; take care to state your di...

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Q: 2.2 2.4 | g' (x) | 25 49 81 Let y = g(x) be the particular solution to the differential equation = g...

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Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

A: The given function f(x)=arc sin(2x) at the point 24,π4

Q: 4 dx

A: Use limit comparison test and p series test

Q: 6. data are those that can be counted and assume only a countable number o values. A. Continuous C. ...

A: Use the definition of data and choose the correct answer

Q: Solve the differential equation y' = e³9 sin(4x) and choose the correct answer from the following op...

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Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: Let f(x)=sec(x) The domain of f(x) is: x∈ℝ-π2,kπ, k∈ℤ

Q: 8:43 B O O * all all 73%t cln 10 Evaluate In 8 -dx et – 5

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Q: Find the volume of the solid formed by rotating the region enclosed by y = e + 3, y = 0, x = 0, z = ...

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Q: X´- 2x - 63 Find the limits in a) through c) below for the function f(x)= Use – ∞ and o when appropr...

A: Given that: f(x)=x2-2x-63x-9

Q: 4. S(1 – cos 4u) du 5. S sin x cos x dx

A: 4) Given:        ∫1-cos4udu Apply linearity:    =∫1 du-∫cos4u du     =u-∫cos4u du      

Q: For the function f(x) = sec x, which of the following are not possible values of f(x)? Choose all an...

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Q: On the graph of f(x) = cot x and the interval 27,47), for what value of x does the graph cross the -...

A: We can find the answers as below

Q: 1) Consider the graph of the function f(x) = 5x -8x a) Find the slope of the secant by sketching a g...

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Q: Determine if continuous f (x) = V4-x at x=0 %3D

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Q: Find the solution for Bernoulli equation below. dy y ху? dx

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Q: What was the most important thing you learned during the class discussion?  Reflection about  Integ...

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Q: differential

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Q: dg at s = 4. ds Use the Chain Rule to evaluate the partial derivative g(x, y) = x² – y. x = s? + 4, ...

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Q: plsease show step by step x - 3y-3z=-14 x-2y-2z=-10 -x+6y+3z=11

A: Given that: x - 3y-3z=-14  ...........(1)x-2y-2z=-10    .............(2)-x+6y+3z=11      ..........(...

Q: 10z2 Evaluate the integral: -dr 100 (A) Which trig substitution is correct for this integral? Oz = 1...

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

A: f(x)=x+9x+3,  x&gt;-3, a=2

Q: Solve the Differential Equations (FODE). xdy – ydx = (x² – 3axy + 2a?y²)(xdx + ydy)

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Q: For the (D^3+D^2+4D+4)y=0 when x=0, y'=-1, y''5. Find y when x=pi

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Q: Sove the differential equations ( 6x-3y+2) dx = (2x-y-1)dy when x=2, y xp z+ he-x9)

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Q: group homomorphism preserves identity i.e. for any homomorphism, f :G → G' , if e is the identity el...

A: Proof be attached in second step hopefully you understand.

Q: Expand the expression. If possible, write your answer without exponents. 8m log 2

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Q: 4. The following statements indicates the use of inferential statistics EXCEPT A. A manufacturer of ...

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Q: Find the general solution of the differential equation xyl – yl – (x – 1) cos (x)+y = 0 and choose t...

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Q: Use the Shell Method to calculate the volume of rotation, V, about the r-axis for the region underne...

A: Here, the region is bounded by the curve: y=(x-2)13-2, x-axis and 10≤x≤218  

Q: 1 5 e dx 2メ

A: Given: I=∫15e2x2xdx We know that; ∫c·fxdx=c·∫fxdx Where, 'c' is the constant. And ∫eax+bdx=eax+ba+C

Q: Write A if the function is continuous and B if not. 1. f (x) = x² + 2x + 1 at x = 2 2. f (x) = x² - ...

A: we need to identify that given function is continuous or  not

Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t ...

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: We know that the trigonometric identities; 1). sin2θ+cos2θ=12). sin2θ=2cosθsinθ And ∫1ax+bdx=1alnax+...