9) Evaluate the following indefinite integrals a. [(5x¹ + x² + x) dx b. 9x²(x³ +5)*dx c. S7 C. dx √x+1

Q: Question 15 Find the derivative of y = 32x+5 A. 2 ln 3 (3²x+5) B. In 3 (3²x+5) C. 2ln 3 D. 32x+5 O B…

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Q: 2 30 مر ول 2 + 6 +

A: In this question we have to solve the Integration.

Q: If x represents a random variable with mean 125 and standard deviation 20, then the standard…

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Q: x2 (x− 1)(x4 +8x²+16) dx- S

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Q: Consider the following. C: line segments from (0, 1) to (0, 16) and (0, 16) to (15, 15) (a) Find a…

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Q: 3x²y' = x(5-6y) x = 1; y = 2

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Q: * (2 √x (2+x) dx

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Q: 7 (t) = (4t³, 5t²). Find 7 '(t).

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Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled…

A: Given: drdt= 5 m/min To find: dAdt when diameter = 140m Area of a circle with radius r is defined as…

Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ -…

A: Here we have to use the concept of derivatives

Q: The demand function for a bottle of Bethune Hand Sanitizer is p(x) = 0.78 +0.0003x, where x is the…

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Q: ∫12v (7+6v2)9 dv Evaluate indefinite anti-differentiation

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to fenced in using two kinds of fencing. Two opposite sides will use…

Q: f(x) = { 2x + 1 10 - x x < 3 x ≥ 3; a = 3:

A: Here we have to find the limit at x=3.

Q: d³y d²y dy+y=0 dx3 dx² dx

A: d3ydx3-d2ydx2-dydx+y=0                (1)LetD=ddxTherefore   equation (1)…

Q: Evaluate [12x. (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

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Q: Evaluate by algebra dx 1. S 3 1+ √x+1

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Q: 5. 39+5 dy (59-7)2

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. [x x cos…

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Q: 4. f cot³ 2x csc¹ 2x dx = f cot² 2x csc4 2x cot 2x dx = f(csc² 2x - 1) csc* 2x cot 2x dx Let u =…

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Q: ume that x and y are differentiable functions of t. For the following, find dx/dt given that x = 8,…

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Q: 2. Determine the area of the region bounded by the curve y = x³ - x² - 2x, and a. the x-axis the…

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj + +x ' ||||||||||| 畫 至 X

A: Solution is given below:

Q: The supply function for a product is given by p = 50+ 100√2x + 5, where x is the number of units…

A: The supply function for a product is given by p=50+1002x+5, where x is the number of units supplied…

Q: Find the arc length L of the graph of r(t). r(t) = t3 i+t p j+126t2 k, 3≤t≤6

A: r(t)=t3 i +t j+126t2 kdxdt=3t2dydt=1dzdt=252 t3≤t≤6

Q: A ball is thrown vertically upward from the ground with an initial velocity of 64 ft/sec. If the…

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Q: Solve the differential equation with complete solution.

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Q: Consider a triangle ABC like the one below. Suppose that A = 65°, B=55°, and c=40. (The figure is…

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Q: Solve the following X 1.0[₁-2x] i. D ii. D[xln (2x) ] iii. D[cosx – 3 sin (2 x) ]

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Q: A. Find the first partial derivatives of the given functions. 1. z = x³ xy² + 3y² 2. Find nd of if…

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Q: 6.S dx √1+√√x

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Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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Q: 2. If the Profit function for producing x units is P(x) = 0.0035x³ + 120x, then the marginal profit…

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Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

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Q: ∫ sinx √cosx dx

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Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…

A: Solution is done in step 2

Q: For the right triangles below, find the exact values of the side lengths b and c. If necessary,…

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Q: Find the arc length L of the graph of r(t). L r(t) = 12 cos(t)i + 12 sin(t)j + tk, 0≤t≤ 2m

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Q: Evaluate fff (3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: ∫∫∫(3x + 2y) dV=∫∫∫(3x + 2y) dxdydz = ∫z = 04∫y = -13∫x =-11(3x + 2y) dxdydz = ∫z = 04∫y = -134y…

Q: Question 9 In MN = In M + ln N Maybe False True None of these

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Q: The Bernoulli's form of the differential equation x³ydx+(3x4 - y³dy=0 is

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Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

A: No Partial fraction formula is incorrect. Actually it is, x2x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1Multiply…

Q: Write the equation of a sine or cosine function to describe the graph. 'y 0 2π 2π 3 7 6+ 5 4 3 2 2π…

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Q: The graph of the function fon the interval -10 ≤ x ≤ 10 consists of two line segments and two…

A: Graph of the function f on the interval -10≤x≤10It is also given that ∫-50gxdx=-6 and ∫-56gxdx=14.

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: While measuring the side of a cube, the percentage error incurred was 3%. Using differentials,…

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Q: In(a³6³) (c) In(be)² a (d) (In c³) (In 62 -4

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Q: • [F. dr. Evaluate F(x, y) = xi + yj C: r(t) = (3t+1)i + tj, 0 st≤1

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Q: compute the surface area of example 9.10.2 by rotating f(x) = √x around the x-axis

A: Given

Q: Confirm that the force field F(x, y) = yeyi+ xey j is conservative in some open connected region…

A: We have to find the work.