J dx 4+x²

Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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Q: 4) Activity 5: Check for Understanding (10 mins) NOV ob For the equation of y²dy = x(xdy - ydx)e*/y.…

A: We can find the degree of the given function and differential equations.

Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Find the slope of the tangent line to the curve − 3x² + 2xy − 4y³ at the point (4, 1). - 44

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Q: Consider the function f(x) = 1-5x², -4≤ x ≤ 1. The absolute maximum value is and this occurs at x =…

A: Consider the function fx=1-5x2, -4≤x≤1.To determine absolute maximum and absolute minimum value of…

Q: 4) Activity 5: Check for Understanding (10 mins) A. Obtain the general solution of the given…

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Q: A piece of cardboard measuring 13 inches by 12 inches is formed into an open-top box by cutting…

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Q: 5 Find the derivative of f(x) = -4√x + T8 Type your answer without fractional or negative exponents.…

A: To find the derivative of the given function.

Q: Two cars are moving towards an intersection. One car is 170 meters north of the intersection and…

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Q: Find the equation of y, given the derivative and the indicated point on the curve. dy dx = 2x - 1 y…

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Q: Question 4 Use Laplace transforms to solve the differential equation: d²x di 2 + 4x = cos(21) where…

A: Topic:- application of integration and differential equations

Q: 1. The graph of y=f(x) is given below. -4 2 2 -2 a) Find lim f(x) or state why it does not exist. 7…

A: Given

Q: A cylindrical can without a top is made to contain 10,000 cubic cm of liquid. Find the dimensions…

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Q: Consider y = √x+1. (a) Find its inverse relation. Is this relation a function? Why? If the inverse…

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Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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Q: Question 5 (i) Use the diagram below to find sin(0), cos(0) and tan(0). (ii) If sin (500) -1…

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Q: Find la da without using the Fundamental Theorem of Calculus.

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Q: x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your…

A: Topic:- application of derivatives

Q: = 4) Use the recursion formula Stan" xdx to calculate Stan³xdx tan" X n-1 n-1 -ftan”-2 xdx

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Q: 7 Write a limit using summations that would equal S Answer: lim N→∞ n k=1 [x³ - 4] dx. Submi

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Q: 1) Think of a multivariable function that might model something in your own work, hobbies, family,…

A: Consider the temperature in a room, T=Tx,y,z which depends on the position of the point in a room,…

Q: For an object in an elliptical orbit around the moon, the points in the orbit that are closest to…

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Q: Given the function graphed below, evaluate the definite integrals. 4+ 3 2 1 -1 7 -1 -2 -3 -4 1 S.³…

A: Need to find out the definite integrals.

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for ∞, and DNE if the limit does…

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Q: Compute the rotated area bounded by y = 2x, x = 2 and x-axis about x-axis

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Q: 2. (xy + x) dx = (x²y² + x² + y² + 1)dy

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Q: 1. (x³ + xy²)y' = y³ Ssangen job10 2. (2x + y)dx= xdy 3. x³y' + x²y-y²= 2x4

A: Topic:- differential equation     Definition:- The order of a differential equation is defined to be…

Q: A stone is thrown straight up from the edge of a roof, 875 feet above the ground, at a speed of 14…

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Q: 9. Find the area bounded by a parabola and any right chord. (Use the parabola y² ax, chord x = x1.)

A: solution is given below..

Q: 2. Find the limits. limx→-1 sin(x² + 3x + 2) x³ + 1 M

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Q: For the function y = f(x) = 3x³ – 10: df dx a. Find ƒ'( − 2) b. Find a formula for x = f-1(y).…

A: NOTE- "Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: (g) S 40t² 4t²+25 dt S du = u-atan ¹+C 4² u²+a² (be sure to list the parameters: a,b,u, du...etc)…

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Q: c) lim f(x), limf(x) y limf(x). -3 -2 -1 4 3 2 0 y = f(x) 2. 3

A: Check for the corresponding values where the graph is continuous and check for both sided graph…

Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: 1. Determine the equivalent ODE by eliminating arbitrary constants y = ae-2x + bxe-2x Oy" +4y' + y =…

A: Given data:- y=ae-2x+bxe-2x

Q: Consider the function f(x) = 6x¹0+ 3x5 - 2x³ - 3. An antiderivative of f(x) is F(x) A is and n is…

A: The given function fx=6x10+3x5-2x3-3 use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

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Q: Find two positive numbers that satisfy the given requirements. The second number is the reciprocal…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: = 5, A2=3, A3=1 and A4=1

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Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

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Q: 3. 2 csc 2x = sec x csc x

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Q: 2x e²x cos(y)dx + e* sin(y)dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: On the Fahrenheit temperature scale, water freezes at 32º and boils at 212º. On the Celsius…

A: Degree and Fahrenheit

Q: Evaluate the indefinite integral sin² t cos³ tdt = + C

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Q: The function f(x) = x³ + 7x² + 7x − 25 is graphed below. Plot a line segment connecting the points…

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Q: Calculate: fx²e³dx

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Q: Suppose an investment of $9,000 is invested at an annual rate of 9.4%, compounded continuously. What…

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Q: limr→(1 − )tan =N x

A: Concept: Limit of a function: Think about the f function (x). X must have values ​​close to the…