I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

Q: False 1. If v, w, x E R" are vectors with v · w = 0 and w· x = 0, then v•x = 0 too. False 2. If v, w…

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Q: Supply the missing integrand and the limits of integration dx dy _dy ху

A: The given integral:∫-11∫1eydxdyxy

Q: If f(x) = f (t³ + 212 + 4) dt

A: We have to find f"(x) for the given function.

Q: (D- 3)'( D + 9)y = 0

A: We can solve the give ODE as follows:

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. cylindrical…

A: Here we have to convert it into cylindrical coordinates.

Q: Find the first partial derivative wx, wy, wz of ( x  +  yw )2 –  ez  – 2 = 0

A: Let's find partial derivative of given function.

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2)

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Q: Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for…

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Q: 5. A small metal bar, whose initial temperature is 20°C, is dropped into a container of boiling…

A: According to newton law of cooling: dTdt=-k(T−Ta​)  Where T is the Temperature of the body and Ta is…

Q: ди ди ди I. Find , and (whenever possible) for the following functions. az дх ду 1) и %3 Зх?у +…

A: Given problem:- 3) u= x/y +2y/z -3z/x  Find ∂u/∂x, ∂u/∂y, ∂u/∂z

Q: A woman 1.5 m tall walks directly away from a street light which is 6 m above the ground at a rate…

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Q: x + 2 x + 1

A: ∫x2+2x+1dxSubstitute u=x+1→dudx=1→dxu=dxx2=(u-1)2 =∫(u-1)2+2udu=∫u+3u-2du

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² = z*e®y. Solve for dz dz and

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Q: 4. S cotx csc'x dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: ydy J-7-By-y

A: Given problem:- ∫ ydy/√(-7-8y-y2)

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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Q: Which of the following is the expanded form of E (-1)*(k+ 1)2? k=1 A -1+4-9+ 16 – 25 B -4+9- 16 +…

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Q: x(x^2+1)y'+2y=(x^2+1)^3

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Q: y+4 =-V2x

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Q: Describe the transformations of the graph of y=vx to obtain the graphs of the following functions.…

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Q: Suppose f(x) is a function that satisfies the following inequality for all x: 1+3 cos(x) < f(x) <…

A: Solution: The given inequality is

Q: Find the FIFTH DERIVATIVE Given: f (t)

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Q: sec =zydy

A: Given

Q: 8. Given the following functions of one variable: (a) f(x) x+ x* + 2 (b) f(x) = (2x + 1) (x- 4)…

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Q: Find the radius of convergenee and interval of convergence for the following. (x – 2)" 2 2" (2n)!…

A: The given series,       ∑n=1∞x-2n2n2n!

Q: nd 4 and using L'Hôpttal's Rule.

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Q: The point P(48, –14) is on the terminal side of angle e in standard position. What is the value of…

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Q: x + 4 dx x² + 2x + 5

A: Given ∫x+4x2+2x+5dxTo evaluate the integral:

Q: Part B. Find the equation of the circle of curvature of the curve y = 2x* – x at its minimum point…

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Q: Find an equation of the tangent line to the curve y= x3 – 3x2 + 5x that has the least slope.

A: Given    slope is 1st derivative

Q: Evaluate the following integral: where Q is the region limited by: Q ={F (x,Y, z): 2<x= 3,0 <y<1, -…

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Q: Find each limit, If it exists. 6- 4x (a) lim 6x - 7 4x (b) lim * 6x-7 () lim 6x 6-4x2 %3D Submit…

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Q: ri rV1-x² dy dx -1 Jo

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Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x² + y (x, y) # (1, –1) x + y is…

A: Given f(x,y)=1                        (x,y)=(1,-1)x2+yx+y              (x,y)≠(1,-1)

Q: e* (1-e*) lim,0 (1+x) In(1–x

A: Given problem:-

Q: (c) y"e* + ye* =x

A: option C is correct answer . explanation in next step   . please give a like

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

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Q: Evaluate the limit, using L'Hopital's Rule if necessary. In x lim

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Q: dx cot 2x cos 2x 4,

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Q: 1) и %3D Зх?у + xӀпу? — Inxy

A: 1.

Q: 2. Find the general solution of cos x dy + (y sin x – 1) dx = 0

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Q: - y = x' 3 from x=-1 to x=2 %3D

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Q: Evaluate the given integrals. 1. cos 2x dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

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Q: -4x Calculate the following integral Je dæ by using a substitution O - 0.25e^(-4x) + C O 0.25…

A: ∫ e-4xdx

Q: 6. The population of a community is known to increase at a rate proportional to the number of people…

A: We have to find the time it takes for the population to quadraple.

Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

A: