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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 1 is…

A: Use the disc method to find the volume of the solid.

Q: Find the directional derivative of the function at P in the direction of f(x, y, z) = xy + yz + xz,…

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Q: Express the given equation in polar coordinates. 16xy = 121 121 ? cos 0 sin 0 = 8 121 r² tan 0 = 16…

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Q: -2x with derivatives f"(x) = 10(1 – 2x)e¬2* 40(x – 1)e¯2*, Determine all the following for the…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: From the given graph, the volume V is given by:V=2∫02π4-x22dx

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given problem:- Find the domain of the vector-valued function. (Enter your answer using interval…

Q: Simplify

A: Answer is no solution.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given: fx,y=x2+y2 The constraint equation is: gx,y=x+2y-20

Q: dr Let A be the area of a circle with radius r. If dt dA when r = 5. dt 5, find 50 Question Help:…

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Q: Find the solutions of the system of inequalities by graphing: x + y 2

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

A: Here, from the graph, the curve y2=0 is above the y1=x2-6x

Q: Q2/ Find S*(4 – 3x) sinx dx -

A: Given: I=∫0π/44-3xsinxdx   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And…

Q: A force of 30 N compresses a spring 0.3 meters from ita natural length of 15 meters. Find the spring…

A: Let's find.

Q: У(у - 9) dy у3 — 216 6.

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Q: Verify Green's Theorem by evaluating both integrals aN aM y2 dx + x2 dA ду ax for the given path. C:…

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Q: x2 Find the length of arc of the curve y = 4 Inx from x 1.5 to x = 2.

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Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

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Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

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Q: Work Problem 1 (a) Sketch the surface generated by revolving the line y = x/2, 0< x < 6, about the…

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Q: Find the gradient of the function at the given point. g(x, y) = 13xeY/x, (5,0) Vg(5, 0) =

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Q: Find the volume of the solid that results when the region enclosed by the curves x = 1 – y² and æ =…

A: Let's find.

Q: Find the arc length L of the graph of r(t). r(t) = 4 cos(t)i + 4 sin(t)j+ tk, 0<t< 27 L

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Q: Activity 1: Let's Compute! Directions: Investigate the discontinuity by using the three conditions.…

A: Follow the procedure given below.

Q: Find the intersection points of the pair of ellipses. S4x2 + y2 = 4 (4x² + 9y2 = 36 %3D ([ (х, у) 3…

A: We know that standerd form of an ellipse is :- (x-h)2/a2  + (y-k)2/b2 = 1     Here i attached the…

Q: Identify whether the following differential equations are linear or nonlinear. State the order of…

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Q: Find the volume of the solid generated when the region enclosed by y = Vx, y = 6 – x, and y = 0 is…

A: This is a problem related to integration. Based on the integral formula we will solve the volume by…

Q: Consider f (x) and f" (x) = 40(x – 1)e-*, Determine all the following for the function. = 10xe -2x…

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

Q: 2. Given {-t,-n St< 0. f(t) = {t, 0stsa f(t) = f(t + 2n) (i) Sketch the function for 3 cycles. (ii)…

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Q: 1. For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates…

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Q: 2. Locate the centroid (x, y)of the following areas: a) y3D Vx/2 + 2r/3 %3D I 2 ft

A: Given:    Centroid of the colored figure x,yWhere,x =MyM      &amp;       y =MxMMy = ∫02xfx-yxdx…

Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

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Q: In the differential equation (x + 2y - 1)dx + (2x + 4y - 3)dy = 0 , we let the substitution w =…

A: Substitute w=x+2y

Q: Simplify tan(arccot0).   undefined 0 pi/2

A: Topic = Trigonometry

Q: yA (b) Economists study two functions: R(1) and C(r) which are the revenue and cost when r units of…

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Q: Which of the following p-series is convergent: Σ n=1 3. 2. 2. n=1 n=1 Σ n=1 9.

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Q: I need help with all of these problems

A: Given

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: The following figure shows the graphs of y = f(x) and y = g(x), together with the indicated %3D %3D…

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Q: Evaluate the iterated integral by converting to polar coordinates. 8 - y2 Vx2 + y2 dx dy

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Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. A vector…

A: The given planes are: x-10y-2z=3 and 2x-y+z=-13 Let us assume z=t on the line of intersection, where…

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

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Q: Question 5 Find all the first sder partial derivatives for the following function. f(x, y) = x(x, y)…

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Q: Explain why the integral is improper. dx 3 2.5 2 y 1.5 0.5 8 At least one of the limits of…

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Q: fy = e2" 2-3 , then find y" at x = 0 Enter your answer as a decimal

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given equation passing through the points (5 , -3, -2)  and  -23 , 23 ,1

Q: Determine whether the following series is convergent or divergente: (- 1)" n = 1 n'+5

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Q: The polynomial of degree 4, P(x)P(x) has a root of multiplicity 2 at x=4x=4 and roots of…

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Q: Find the area of the shaded region. (2,7) (0,3). 26 2/3 2/3

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: Here ,              We have given a vector valued function now we have to determine the intervals on…