Use integration to find f(4) if d = 2x² and f(1) = 6.

Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

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Q: 5. Prove that xdx a b²_a² 2

A: According to guidelines we are supposed to do first question only. Kindly repost the other question.

Q: 1. Find the general solution of the differential equations: dr dt (a) = x²(1+t) dy (b) ². + xy =…

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Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: The bus stop is across a grassy park. It is 1500 feet west and 500 feet north of her starting…

Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

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Q: For each ingredient, the bakery capacity can never be exceeded during any week. Select the option…

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Q: Use the method of partial decomposition to perform the required integration. S 148 dz 2²46

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Q: Write the name of the metric system prefix associated with each mathematical factor. Do not use any…

A: Write the name of the metric system prefix associated with each mathematical factor. Do not use any…

Q: 0 3 x√x² + 16 dx 2

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Q: You are a package designer for Table Tennis Ball (Ping pong) Company. The company needs you to…

A: Given that  Packaging material will cost 0.005 cents per square centimeter  a package designer for…

Q: 1) Consider the function g(x, y) = ln(xy). a. Find the domain. b. Sketch a graph of the domain. c.…

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Q: Determine arc length of the graph of the equation (y-1)3  = x2 where the interval is [9,11].

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Q: Using the same vectors v = (1, 3, 2) and w = (3, 5, 6) and the same point, P = (8, 4,- 2). Find the…

A: We have, vectors v = (1, 3, 2) and w = (3, 5, 6) point,P  = (8, 4,- 2).

Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

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Q: For the differential equation: = sin(z)y, what is the slope at (0,2)? 02 04 O 1 0

A: A differential equation y'=f(x,y) represents the slope field of the curve y. at a point x0,y0 The…

Q: The path r(t) = (t) i + (3²-2) j describes motion on the parabola y = 3x² -2. Find the particle's…

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Q: Select the basic integration formula you can use to find the indefinite integral. of un du • / du of…

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Q: Calculate the volume of the parallelepiped spanned by u = (1, 1, 9), v = (5, 0, 3), and w = : (0,…

A: To calculate the volume of the parallelepiped spanned by  u=1, 1, 9, v=5, 0, 3, and w=0, -3, 0.

Q: The number of points of inflection of f(x) = at is 03 02 01 0

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Q: Z O-14.8182 O-10.4091 -11.6250 O-12.6136 6 O-13.7159 10 -7 15 -11 f The function is continuous on…

A: Use formula of the area of trapezoid.

Q: dy dx C 3x² 3y² - 4 y(1) = 0

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Q: (x(t) Find a plane containing the point (2,-4,-2) and the line y(t) z(t) = = = 2 - 5t 4 - 3t 5- 4t

A: Equation of the plane general form is  a(x-x_1)+b(y-y_1)+c(z-z_1)=0

Q: Find the equation of the line perpendicular to x = 3 through the point (-4, 7)

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Q: SLO C. Use parametric equations and polar coordinates to graph, differentiate and integrate…

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Q: If the distance of an object is given by d(t) cannot be determined. O constant. O increasing.…

A: Given, the distance of the object: d(t)=3t3-6t

Q: X-25 (x-2) √√x²+2x Converges? Dieverges? dx AND WHY?

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Q: The function y = Ce-2 +3 Solves the differential equation y' + 3y = -2y + 6. O true false

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Q: O O O O Which of the following shows an inconsistent system of equations? 3x + 4y = 5; 6x + 8y = 10…

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Q: 4. Determine the vertex of the parabola y 2 2x + 15x using Calculus.

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Q: Linear Functions, Determining The Equation Determine the equation of the line passing through each…

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Q: Use the precise definition of the limit to show that lim . x→2 x2 + 4x − 5 = 7

A: Using the definition of limit we have to show that:  limx→2 x2+4x-5=7

Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

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Q: Correct your answer as an integer or a simplified fraction. -3x+12=-x+2 in the answer box.

A: -3x+12=-x+2

Q: 22. √₁² (x² – (2 (x² - 4x + 2) dx

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Q: YOUR TEACHER Kane Manufacturing has a division that produces two models of grates, model A and model…

A: Maximum of P = 2x + 1.5y occurs at vertex D(120,160)  P = 2(120) + 1.5(160) P = 480 Original…

Q: Find the radius of convergence of the power series 1 xn 3n+ (−2)² (n +1) n=0

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Q: O Make a graphical tool to approximate the limit of the function. If necessary, round to three…

A: The limit of a function can be found by using the graph or by finding the table of values to the…

Q: Solve the problem. The quality of the images from an orbital telescope result from a large parabolic…

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Q: 7. A lidless large steel fuel tank is cylindrical in shape. To optimize storage in the truck, the…

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Q: Follow the Steps to Successful Curve Sketching to sketch the graph of f(x)=-4 Show all stens

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Q: Suppose f(x) = = 6x² + C, where C' is any real number. Then the expression

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Q: What is the area between the curves y= integrating with respect to x.). O ! (6) WIN = ² and y=-x² +…

A: y=x2 and y=-x2+2x

Q: Given below are descriptions of two lines. Line 1: Goes through (−12, 50) and (−3, 14) Line 2: Goes…

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Q: 3 = (2x³ + 4). 3. Find the equation of the tangent line when x = -3 for the function f(x) =

A: given f(x)=(2x3+4)3

Q: Sx.cos5(x²)dx

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Q: 1. 16 + x< X dx

A: ∫xndx=xn+1n+1+C ∫1xdx=lnx+C

Q: Consider the function f(x) = 1- 3x² on the interval [-4,3]. (A) Find the average or mean slope of…

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Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: y'=1+x-y-xy.

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Q: 25 lim x+c+ (x-c)³ 25 lim x+c¯(x-c)³

A: