1. f(x) = (x (x+1 if x ≤ 0 if x>0

Q: elimination 1 x³y 4- of arbitrary constant 16x² 3 کرا +30C =0

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Q: 16. Determine if the Mean Value Theorem for Integrals applies to the function f(x)=√x on the…

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Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: Given f(x) = √x and g(x)=x²-9, find the composite functions. (a) f(g(3)) (b) g(f(9)) (c) (^(-¹)) (d)…

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Q: <++ 10 -10-9-8-7-6-5-4-3-2-1 9+ 8- 7 1 6+ 10 4 3 Y 2- L -2- 3 -4- 5 -6+ -7+ -8+ -9+ -10+ 2 3 4 5 6 7…

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Q: f In dx

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Q: For the homogeneous equation (y² + 2xy) dx -x²dy = 0, which is a better substitute: letx=vyory=vx?…

A: The given equation is; (y2+2xy)dx -x2dy=0.

Q: B. Evaluate the limits of the following: 1. lim x-2 lx-2 6 x²+2x-8

A: Concept: Limits: The values that a function approaches for the specified input values are known as…

Q: s and determine the domain and range: #3 3 x + 2, g(x)=√16-x², Domain: Range: 4-x, x = -4

A: We have to draw the graph and determine domain and range of the given function

Q: In exercises 1-28, evaluate the indicated limit, if it exists. Assume sin x that lim 20. lim 240 sin

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Q: The acceleration function for a particle moving along a line is a(t) = 2t + 4. The initial velocity…

A: We need to find velocity and distance.

Q: 2. Make up a differential equation of the form dy dt that has the function y(t) = e²t = 2yt+g(y) as…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: You will be scheduled to work 40 hours during the first week of summer. You can choose the method of…

A: To get the required answer we need to calculate the total payment in each choice.

Q: limx→0 sin 2x 2x²+x

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Q: Which statements are true about matrix A if a ‡ 0 and a² #b²? b b a A = a [8 There is a unique…

A: Please see the below picture for detailed solution.

Q: The piecewise function for the above table can be shown as: 95 110 150 160 220 f(x) = 240 360 10,…

A: A piecewise function is a function that has different definitions depending on the x value as in…

Q: 2 x-3+ 3-x 6. lim 4 9-1²

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Q: nch the without solving the problem) ution of the given initial value problem is certain to exist. −…

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Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

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Q: Find the trace of the matrix. The trace of an nxn matrix A is the sum of the main diagonal entries.…

A: The given matrix is A= 1 0 5 1        0 1 -1 5       2 5 1 0      0 0 4 1.

Q: Step 1 1 + In 2xy = e2x - y, (1/2, 1)

A: we will find the required.

Q: Question Consider the region, R, bounded on the left by the line g(x) = 4x + 4, on the right by the…

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Q: A. Find the limits of the function f(x,., -2 2 1. lim f(x)= x--1+ 2. lim f(x)= X-4- 3. lim f(x)= 4.…

A: The graph of the function is  To evaluate:  1. limx→1+fx2. limx→4-fx3. limx→4+fx4. limx→1-fx5.…

Q: Find the Differential Equation of the Family of Ellipses with its center at the origin.

A: Here is the solution:

Q: 2. Simplify √√x² +9-5 x+4

A: Topic - Simplification

Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: Solve the given differential equation. All solutions should be found. dy_ x - 4y dx x NOTE: Use c…

A: Let's solve given differential equation.

Q: 5. The profit, P(x), of a video company, in thousands of dollars, is given by the equation P(x) =…

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Q: y(4)-8y" + 16y=0

A: To solve the differential equation

Q: y' = ysecx

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Q: I don't understand why the sign was changed from + to - in the second line of step 6

A: see below the explanation

Q: If f(x) dx = 3 and 5 f¹ f(x) dx = 25, then f f(x) dx = A)-2 B)1 C)-1 E) 8 D) 2

A: Given: ∫3-1f(x)dx=3 and 5∫31f(x)dx=25To Find: ∫-11f(x)dx

Q: For the discrete logistic equation Xt + 1 = cxt(1 - xt) and the given values of xo and c, calculate…

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Q: the general solution of the following equations: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ---------by…

A: Topic:- solution of differential equations

Q: Create a piecewise function showing the rate of money f(x) that must be paid by a customer after…

A: We need to create a piecewise function showing the rate of money f(x) that must be paid by a…

Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

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Q: In Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the…

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Q: In(√1-x x)dx

A: ∫01/2 IN (1-x dx - ∫0xdx

Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

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Q: Let u(t)=9t³i + (t²-1)j- 4k. Compute the derivative of the following function. u (tª - 2t) Select…

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Q: plane

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Q: The shaded region between the graphs of y y = 3x - 15 is displayed below in orange. 2x² + 20 and

A: NOTE: Refresh your page if you can't see any equations. .

Q: A torus is formed by revolving the region bounded by the circle x2(squared) +y2(squared) = 4…

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Q: Find the domain of the function. (Enter your answer using interval notation.) 3x³-1 x² + 3x - 18…

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Q: integral: 24x² √64 – x² dx

A: ∫ 24x264-x2dx

Q: The y' and y" for y= -3 3√x

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Q: Let ˜(x)=3e³x (10−6x)+e³* (−6) Find the value of x that makes f(x) = 0 Pick test values and plug in…

A: Topic:- function

Q: 1 a) f(x) = +2 x + 3 - b) f(x) = 2x+2²_3

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Q: x/4 11. evaluate sec(x) dx . Give 3 decimal places for your answer. If your answer is below 1, use a…

A: ∫0π4secxdx