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Q: Evaluate the definite integral 9 6x² + 6 dx 35 X o 588.65298705274 3

A: We know, ∫xndx=xn+1n+1+C, C is a constant for any real number n.

Q: Determine the values of a, b, and c for Ax) = ax + bx+c so that f") = 6x- 3 and A2) = -1.

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Q: 3. y = Vx and y = x3 y%3D

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Q: A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see…

A: --------------------------------------- Wind velocity: velocity: 50mphDirection: 30° with…

Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Here we have to find the surface area of a plane.

Q: Evaluate the definite integral. I' i+e¯*j+tk )dt O !! k 11 (ell – 1) i – (e- – 1) j + - k O ell – 1…

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Q: X- Consider the function f(x) = x2 -1 Please explain all steps (a) Find the intercepts of the graph…

A: This is a problem related to function. Based on the general formula and concepts we will answer the…

Q: x3 + x – 1 ;dx J x(x – 1)(x + 5)²"

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Q: Ssec10dE

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Q: Part 2: Differentiate the following functions. Show your complete solution. 1.) (x) = (x +3x)1000…

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Q: y = 4 (2,4) A y = 2x x = 2 B y =x (0,0) Region A is bounded by the lines y= 2x, y= 4 and the y-axis.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Determine s) for $) = 31 + 212 1 s'() = 41 + 3 Os') = 41 + O s'() = 41 - %3D s'(t) = t+4t %3D

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Q: Find the slope of the tangent line to polar curve r = 7 cos 0 at the point

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Q: Change from spherical coordinates to rectangular coordinates $ = 6. O z2= 3(x² + y²) O z2= 3(x²…

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Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Simplify the complex number. Express your answer in a+ bi form and include each step necessary in…

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Q: Consider the circle in the ay-plane given by the parametrization x = 2 cos t, y = 1+2 sin t, 0<t<…

A: Let's find.

Q: The first English dictionary, prepared in 1604 by Robert Cawdrey, defined 3,000 English words. In…

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Q: 2x2-3x+2 Ex(2) Let f(x) , x + 2. Find Lim f (x) x-2 x-2 Solution

A: Topic:- limits

Q: Select all that apply. Select the functions whose value is zero. sec 270° Csc 360° tan 90° cos 270°…

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Q: 5- y? = 4x (4, 4) y = 2x – 4 (1,-2) Using a horizontal element of area, the area of the shaded…

A: Here  we have to find the area of shaded region.

Q: +1 and y=-x+1 AND find the area.

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Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: y) dx +x dy = 0.

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Q: Find the limit algebraically. lim 1 x--4 Select the correct choice below and, if necessary, fill in…

A: The solution is given below

Q: Complete the equation. V-14x ). arccos X- 7 = arctan 7 <x < 14 7

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Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Given problem:- Find the angle of the largest right circular cone which can be inscribed in a sphere…

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: Identify whether the given is a discrete or continuous variable. 1.The number of arrivals in an…

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Q: (c) Find marginal profit at q = 500. 10 Explain what it predicts. The total profit will increase by…

A: Apologies for the inconvenience.   #c) We have found that marginal profit at q=500 is 10.  It means…

Q: 1. Calculate the area of the graph enclosed by the curve y = sec(2x)tan (2x), the x-axis, and the…

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Q: X = -y A y 2Fx = 2- y² -2

A: Recall: Formula Area=∫abf(y)-g(y)dy  We have,  f(y)=2-y2, g(y)=-y

Q: Р5: V4 – 9x²dx (4 — 9х2

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Q: Let F(x) = f(æ*) and G(x) = (f(x))*. You also know that a' = 3, f(a) = 2, f'(a) = 8, ƒ'(a*) Then…

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Q: 9 5+ 8 g(x) 7- 4- h(x) 3- 5- 4- 2- 2- 1 1 2 3 X-values 3 X-values 1 g(x) , then h(x) If f(x) f'(3) =…

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Q: O (z² - 2x) y" + ( + 2) (2 2) y = 0 O (3x? - 4x) y" - (z + 4) H (e |4) y = 0 (22 + 4) y (4r - 4) y =…

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Q: 2) y= e** (c, cosk + C2 sinx)

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Q: P6: x2 x² – 1

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Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: Find the divergence of the vector field F. F(x, y, z) = In(9x2+ 6y² )i + 54xyj + In (6y? + 5z?)«…

A: To find the divergence of given vector field

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

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Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x? such that f(0)…

A: The given problem is solved below in detail..

Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: In Exercises 1 through 4, find the area of the shaded region. 1. y= Vx

A: Area

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t?j…

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Q: 5х + 3, х < 1 f(x) = {x? + 4, 1<x< 2 ( x², x2 2

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Q: Find lim f(x). lim X--6 X-6 (Type an integer value.) (-6, 2) -2, 2) -12 -6 2, -2 (- 10, -4)

A: solution:-right hand limitlimx→-6+f(x)=0 f(-6)=0

Q: re' dy + +1 dr =0 O (y – 1) e + + In z = C 2. O-(y+1) e + Ine =C 2 O (1- y) e + 1. O 2y - e + +In=C

A: To solve given differential equation