wane lenit oy al o The curve y = x², 0

Q: 0. 21XVX2 + 1 dx = 142 7, what is | 21uVu? + 1 du? Given that %3D 1

A: here just we put x =u so deside the function is odd or even so lets put u = -u 21(-u)(-u)2+1…

Q: Air is being pumped into a spherical ballon at a rate of 4 cm3/min. Determine the rate at which the…

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Q: Given the function f(x) = – 3z² f(r + h) – f(x) h Find the difference quotient Find f'(x) by…

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Q: x² +3x+2 15) limx-2 xt-16 %3D 32 1 c) 3 d) DNE e)non a) b) 1

A: Solving the problem by finding the limit of the problem.   NOTE :: As per our Expert guidelines we…

Q: Find the exact length of the polar curve r = 2+2 cos 0 . Show All Your Work!

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

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Q: A cleaning service company found that the operating costs increase at a rate of 24x - 10x thousand…

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Q: Draw a function f(x), defined for all real numbers x, with one local maximum and two local minimum.

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Solve the differential equation by variation of parameters. 2y" — 4y' + 4у %3D е* sec x y(x) = %3D

A: Solution is given below:

Q: EVALUATION Directions: Find the derivative of the following functions. Choose the best answer from…

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Q: Find dr. J (1+z²)3/2 - In Vx² + 1 + x| + In |Vx² + 1 + x| - Ja? + 1 +c Vx² + 1 O Option 3 Option 1…

A: Let I= ∫x21+x232dx Let x=tanθ ⇒dx = sec2θdθ Substituting this in I, we get

Q: Euler me thed to salıe use

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Q: Find * In(x² + 2x + 2) dx (x + 1)² In|1 + (x + 1)²| x +1 In|1 + (x + 1)2| x + 1 + 2tan-(x + 1) +c…

A: I am attaching image so that you understand each and every step.

Q: Given the plane i = (-2, 1,5) + s(3, -2,0) + t(1, 1, 5), s,t € R. The plane cuts the x, y and z-axes…

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Q: 1 2 dx dy = 2 Select one: O True O False

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Q: Evaluate* e/x dx. x3 1 1 еx 1 ex 1 еx + с + ex + c - Option 3 Option 2 1 ex 1 еx 1 еx + с + ex + с -…

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Q: 5. Use L'Hospital's rule to compute the following limits (a) lim a In(x) (b) lim sin(z) (c) lim…

A: Here are the solutions: We will use L'Hospital rule and differentiate the numerator and denominator…

Q: Let f(x)=x^3-2x^2-4x+104 on the interval [0,3]. A. Find all crirical numbers of F(x) inside [0,3]…

A: We have to calculate absolute maximum and minimum.

Q: Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0 : It passes through (2, –2,…

A: Solution of 3 variables linear equation is solved by using cross multiplication method.

Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: Make a sine wave model of a musical note with a frequency of 340 cycles per second. Use an amplitude…

A: Find your answer below

Q: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 60 O a.…

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Q: Calculate the area of the circle r=18sinθ as an integral in polar coordinates. I have this…

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Q: Jse vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (-5,…

A: Suppose, A(1,1,3), B(-5,5,0), C(-3,8,-7) & D(3,4,-4) are the given vectors.

Q: Pls show the complete solution, thank you very

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Q: Consider the following. u = -6i - 4j - 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Projection

Q: Find an equation of the plane that passes through the point P(-8, –3, 7) and has the vector n = (-8,…

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Q: Select the response that best describes the phase relationship between v1(t) and i (t). Vi(t) =…

A: Follow the procedure given below.

Q: A snowball is thrown upward from a bridge into a river below. The function f(t): above the surface…

A: f(t)=-16t2+47t+88t=0f(0)=88gives the bridge's height.Brige's height =88 feetB)When the snowball hits…

Q: 7. The function f (x,y,z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

A: 7. The function f(x, y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

Q: Integration of (Sin(x) + Cos(x))e^x is_

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Q: Give the curve r=3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line is…

A: θ r=3 cosθ 0 3 π4 32 π2 0 3π4 -32 π -3 5π4 -32 3π2 0 7π4 32 2π 3

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 6, –9) and the vector component of v…

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Q: Si sin“ (3y) cos® (3y) dy 128 2340135 128 780045 O 9.64 x 10 4 O 2.89 x 10 3

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 10i + 3j. NOTE: Enter the exact…

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Q: esin 2x [In (cos 2x)]?

A: Given: fx=esin2xlncos2x2   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

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Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: .f (x) = cos(-x) .f(x) = sin(8x) .f (x) = 2 sin(-5x) a) f'(x) = 2 sec(2x – 1) tan(2x – 1) %3D - b)…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: Solution of question is written in below steps.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 6t, y = 8 -…

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Q: The graph of a function f is shown below. ||| ||||| 14 3- 2 1. -4 -3-2-1 -3 4 To combine intervals,…

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Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 1.…

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Q: endicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

A: Here we have to find the equation of plane which is perpendicular to the other plane.

Q: Given: In(1+ x) (-1)" xn+1 _if |x| < 1 n + 1 n=0 (-1)"(n + 2) 2n+1(n + 1) Compute the exact value of…

A: Solving

Q: M3.3 Trigonometric Substitution s dy 9-y 5.

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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