Find the value of k which makes the following piecewise function continuous for all values of x. k-x if x < 3 f(x) = -2x2 if x ≥ 3 Select the correct answer below: O-8 0-7 O-5 O-3 O-2

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A: SOLUTION-

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A: Given :f(x)=4x13+x43

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Q: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

A: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

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A: An area is bounded by x2=8y, y=3, and the y‐axis. This area is located in the first quadrant.To…

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A: Concept: We have given the curves  y=x+3x=0 to x=4y=x2 Here the red line represents y=x+3 The green…

Q: 2) lim f(x) if f(x) = {x+3₁ x22 x²-9, x<2 x-2 F(x) X 2.75 2.5 2.1 2.01 2.001 X 1.5 1.75 1.9 1.99…

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Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 21 2 3 12₁₂ +1 -1…

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A: This question is based on chain rule differentiation. ddxfxgx=gxddxf(x) + f(x)ddxg(x)

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A: Here is the solution of the given problem. We solve this problem by using Laplace transformation

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A: Given :∫014x22x3+332dx

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Q: 16 + 3 the following matrices festSIAM #71 47 purन

A: Topic = Matrix

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A: Topic = Integration 1) A 2) A

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Q: Evaluate the integral. dx x216x + 65 NOTE: Enter the exact answer. + C

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Q: 1- Evaluate the limit a-Lim(x/(x-1)-1/ Inx) x-1+ d- lim x+1/√2x²+x+1 x-→∞ b- lim [In(cos(x))]…

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A: Concept: Vector: A vector is a -dimensional entity with significance and course. A vector may be…

Q: 8) Consider the solid Q that is generated in the first octant by the surfaces S₁: (x - 2)² + (y-2)²…

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Q: Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 21 -1 2 3 122₂ +1 0 41

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Q: The definite integral that will give the area of the region R using VERTICAL strips is +2 ° ³* ((2²…

A: Explanation of the answer is as follows

Q: 6 5 4 1 -7-6-5-4-3-2-1, 1 2 3 4 5 6 7 -3. -6 147

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Q: 7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3], v = [1,-4,2 ] and…

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Q: NT - My M If = Q, where is a function of y only, then the differential equation M + Ny = 0 has an…

A: The given differential equation is;  ydx+(5xy-e-5y)dy=0

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A: The simple double integration... Find out area

Q: Find the solution of the given initial value problem. y’’+2y’+2y=0,     y(π/4)=2, y’(π/4)=-2…

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Q: A) u-substitution with u = 7x³ +5 B) u-substitution with u = 3x² u-substitution with u = 3x² dx…

A: Integration

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Q: 1.) The height above the ground at which a ball is released at an initial height of 122.5m is given…

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Q: tions: Solve for the derivatives of the following function. Write the letter of the correct answer…

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Q: Evaluate / fasiner for drdedz Jo

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Q: ind the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j -…

A: Given query is to find the angle between the vectors

Q: 10. lim, [(2)(x²+x-5)] A. -6 B. 0 C. -2 5 D. 4

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Q: Let y = tan(5x + 2). Find the differential dy when x = 4 and da = 0.3 0.6 Find the differential dy…

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Q: H ( { (-1) n - (27-34 an-

A: solution:-∑n=1∞-1n2x-3n2n-1ratio test:-an=-1n2x-3n2n-1an+1=-1n+12x-3n+12nthe series will be…

Q: A. Find the determonant of the matrix A 2 1 -21 -1 -2 -1 4 3 132 2 1 1 2 2-31 ܝܪ ܠܕ ܬ ܨܐ 1

A: To find the determinant of the matrix A=121-2-1-2-142132-212-3.

Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

A: The height of  the object,   s=-16t2+288t+9

Q: Solve the following initial value problem. 1. y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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Q: 8. Which of the following has a definite integration? A) f(x) dx [f(x) dx B) C) fdx D) [xndx 9. To…

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

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

A: The given function,  fx=x+4if x&lt;0exif 0≤x≤17-xif x&gt;1