What is the value of the integral Select one: O 64 O 16 O None of these O 32 4 SS 0 X 08 2xydydx?

Q: 1. Which of the following is the general solution of the differential equation Oy²=x² +C að

A: We will solve the differential equation.

Q: Question 5 A planning engineer for a new flour mill must present some estimates to his company…

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Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive).…

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A: Concept: The area of the circular disk is  A=πr2 Where r is the radius of the circular disk The…

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A: Topic - Application of derivatives Volume of sphere=43πr3 where r is the radius of sphere

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A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: Find the total mass of the wire with density p. r(t) = cos(t)i + sin(t)j, p(x, y) = x+y, Ostsn

A: Please see the below picture for detailed solution.

Q: 10+200

A: Using sum rule

Q: Use the Root Test to determine whether a converges, where a is as follows. n n n = 1 = ( ²² + ²)² n…

A: We will apply Root test

Q: Q2. If F = (x² - y² + 2xz)ī− (2xz − xy + yz)j + (z² + x²), find the divergence of curl F and curl of…

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Q: Use the functions below to find the given value. f(x) = x 2 8 g(x) = x³ (g¹¹) (-2) = |

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A: We have to find out the equation of tangent

Q: Sketch the graph of the quadratic function. f(x) = 3x² + 2 No Solution → Help vertex -10 - -8-7-6-5…

A: We need to draw graph.

Q: Use the point on the line and the slope of the line to find three additional points that the line…

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Q: What is the value of the integral Select one: O 64 O 16 O None of these O 32 08 CO 2rydydz?

A: Given:       ∫04∫x42xy dy dx      =∫04∫x42xy dy dx     Taking out constant        =∫042x∫x4ydydx…

Q: Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 3, 0sysin 9, 0≤z≤ In 27) with a…

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Q: Find all local maximum and minimum values and saddle point(s) of the function. f(x,y) =…

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Q: (b) By using trigonometric substitution, evaluate the following integral √ √F² + 4x + 5d.

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Q: Find the work done by the force field F on a particle moving along the given path. F(x, y) = xi +…

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Q: Find the marginal profit function if cost and revenue are given by C(x)= 185 +0.3x and R(x) = 3x…

A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x

Q: Evaluate f x²-x-5 x(x²-x-2) dx

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Q: receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future family. The…

A: Given the query is to find growth rate, money after 10 years and time taken to double the amount.

Q: i) Find the general term (an) of the sequence 3e-¹, 10e-2, 29e-³, 66e-4, 127e-5,218e-6, ... ii)…

A: The given sequence is;  3e-1, 10e-2, 29e-3, 66e-4, 127e-5, 218e-6, ...

Q: 5) (10 ptos) Determine los puntos críticos de ƒ(x) = ²x³ + x² – 2 2x

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Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being…

A: Let X be the distance of boat from dock (which changes with time ) And y be the length of rope  (…

Q: 10 -8 1 I 1 1 1 1 -6 T 1 I T 1 1 1 I 1 1 i 1 i 1 1 1 i 1 1 1 N 1 1 i +14+kw 12 10 8- 6- 2 -2 -4- -6-…

A: Given

Q: 1.) a. Verify that y, (x). and y₂ (x) e are solutions of the differential equation 2y" y'-y-0 on…

A: We have to find if given are solutions to differential equation or not.

Q: Use spherical coordinates to evaluate 2πT fff c2-r r+z (r² + z²) ³/ rdz dr de.

A: Given ∫02π∫12∫02-rr+zr2+z232rdzdrdθ

Q: Model the data using an exponential function f(x) = Abx. f(x) = X f(x) 0 1 128 64 2 32

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Q: an = n 2.6 (1+2:0) "

A: Please see the below picture for detailed solution.

Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = (3 − 2t)i + (1+6t)j +…

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Q: (c) Consider a hemispherical bowl of radius r containing water to a depth h. (i) Find the volume of…

A: We need to find volume and rate.

Q: (b) Use Simpson's Rule with n = 10 to estimate the area of the surface obtained by rotating the sine…

A: Let's solve area of surface.

Q: Approximate the sum of the series to four decimal places. (-1)^-1 7 (2n-1)! Select the correct…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

A: topic- sequence and series

Q: Q2. If F = (x² − y² + 2xz)ī − (2xz − xy + yz)j + (z² + x²)k, find the of curl F and curl of curl F…

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Q: Find f'(x). f(x)= ex+ 5x 3 Inx f'(x) =

A: We have to find the derivative.

Q: 8.) A triangle has a base of 12ft long and an altitude of 8ft high. Find the area of the largest…

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Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: We need to find R6, L6 and M3

Q: Question 3 Let D denotes the region in the xy-plane bounded by the parabola 2x y = 2x. (a) Sketch…

A: Please see the below picture for detailed solution.

Q: Find the volume of the given solid region in the first octant bounded by the plane 10x + 8y +20z =…

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Q: Use implicit differentiation to find y', and then evaluate y' for x²y - 3x³ + 8 = 0 at the point…

A: We have to find out derivative

Q: L1Q7. If the degree of a polynomial function is even and the leading coefficient is positive, then…

A: Given; Degree=even   Leading coefficient= positive.

Q: Plz

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Q: Simplify

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Q: i) Find the exact length of the curve y X y = 2 X + — ii) Find the exact area of the surface…

A: Let's find exact length and area of surface.

Q: Find the limit (if it exists). If it does not exist, explain

A: A limit does not exist when limx→a-f(x) ≠limx→a+f(x)

Q: Identify the function represented by the following power series. (-1)kkx² k=1 Click the icon to view…

A: To identify the function represented by the following power series.∑k=1∞ -1kkxk+24k

Q: Find an equation or inequality that describes the following object. A sphere with center (4,1,1) and…

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