7. Find all constants a, b that make f continuous at x = 2. (Use limits and definition of continuity) f(x) ax - 1 x²-bx - 6 x²-9 C if x <3 if x > 3 if x = 3

Q: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).

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Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy x -y xy…

A: Topic = Derivative

Q: Differentiate. dy dx y = 2x³ - 5x² + 7x +4 ||

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Q: 1) f(x) = *-1 x+2 Find a) f(1) b) f(a + 1)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the area of : y: 4/x, y-4/x2, x=6

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Q: Question 15 of 16, Step 1 of 1 18/29 Correct Among all rectangles that have a perimeter of 84, find…

A: Topic- Application of derivatives Let L=Length of rectangle W=width of rectangle Perimeter of…

Q: What form of the particular solution is appropriate for the differential equationy" - y'=4?

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Q: Find any vertical asymptotes of the function: f(x) = x-4 x² - 4x - 45 Write the equation of the…

A: The given function is: fx=x-4x2-4x-45   As we know that; To calculate the vertical asymptote, equate…

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12…

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Q: Sketch

A: Please refer to the image below

Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

A: Given data:- (i); 1+sinx (ii); excosx (iii); cos-1x2-1x2+1

Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

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Q: a) Find the limits of the following functions: 1. sin 2x lim- x-2x²+x lim √x² +12-4 x-2

A: SOLUTION-

Q: (a) Find a vector parallel to the line of intersection of the -2. 3y - 4z planes -x + 3y + 4z = 0…

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Q: Solve for a. 8. 9a 16 - a² = 9. 54 = a4 10. a² - 16 = 32

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Q: y=ae³x + be-3; y"-9y=0 -3.x.

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Q: a) b) c) -4 -3 -2 -1 lim f (x) x-1 lim f(x) X→-2 lim ¿ x- 2*¹ f (x) ¿ f(x) LO 4+ 3- 2+ 1- 0 H -2+ 1…

A: Given that a graph and we find given limits - a) lim(x tends to 1) f(x). b) lim(x tends to -2) f(x).…

Q: For each statement,write true or false {0,2,6}={6,2,0} {2,3,4} =[2,4] {XER:0≤x≤6}= [0,6]…

A: We will  state whether the statement is true or false.

Q: Find the decomposition a = ªb + ªь with respect to b if a = (x, y, z), b = (-1,-1,-1). (Give your…

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Q: Find the integral. (Use C for the constant of integration.) 9 J 49x2 dx

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Q: Rearrange this expression into quadratic form, ax² + bx + c = 0, and identify the values of a, b,…

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Q: If (0,4) and (1,6) are critical points of y=a+bc+cx³, find the valur of c. A. 1 B. C C. -1 D. -2

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Q: 1. f(x) = (x+4)² 2. f(x)=√x +3 +40 CHI

A: 1. Parent fuction will bef(x) =xto understand better I have drawn the graph using online tool (will…

Q: Given the function f(x) = 4x² - 7x + 5, which of the following is f(x+h)? OA. 4x²2²-7x+5+h OB. 4x²…

A: The function is given by fx = 4x2-7x+5 To evaluate: The expression of fx+h

Q: Find and simplify each of the following for f(x)=3x-6. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x)…

A: Given query is to perform indicated function operations.

Q: 6. (01.03 HC) Values of f(x) at selected values of x are shown in the table. X 2.75 2.9 2.99 3.01…

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Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not exist, indicate that…

A: See this solution in below.

Q: the options are left, up, right, down

A: Here we have to choose the correct option.

Q: 2) Suppose that a fashion company determines that the cost, in dollars, of producing x cellphone…

A: NOTE: Refresh your page if you can't see any equations. . take x=400

Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: 3. Given the polynomial p(x)=-1¹-2³ +42² +8r, answer the following a. Please fully factor p(x) into…

A: The given polynomial px=-x4-2x3+4x2+8x Note:     The question contains multiple sub parts, as per…

Q: a) Complete the table below given f(x)=sin(3x)/x Round your answers to six decimal…

A: Compute the table for f(x)=sin(3x)x

Q: Z(A+BZ²) The Z-transform of the following function f[k] =2.2+(-5)*-(-4)* i (Z-2)(Z+1)(Z+5) so the…

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Q: A) 2xe-x(x + 2) 30) u(1) = 2, u '(1) = -7, v(1) = 7, v '(1) = -3. d at x = 1 dx u B) 2xe-X(2-x)…

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Q: 5T A positive angle less than 47 that is coterminal to 4 Part: 1/2 Part 2 of 2 is 57 A negative…

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Q: Find the Average Rate of Change of the following function over the interval [2, 5] (That is, from t…

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Q: Prove that tan'z= leto 1/2 in (1+2) tan't z • tanw=Z Z = Sinw cosw

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Q: The graph below is the function f(x) 5- -4 -3 2 -1 Find lim →4 Find lim →4+ Find lim H-4 4 30 1 f(x)…

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Q: Evaluate sin 3x cos 5x dx.

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Q: lim t→l 1+√t+ √t+√t t² + 1 + 1 t³-2

A: I have solved step by step in detail...and I have written answer up to simplified…

Q: 4. Verify that the solution of the DE d²x dt² + k²x = 0 is x = sin(kt).

A: To verify that the solution of the DE d2xdt2+k2x=0 is x=sinkt.

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A: We have given an equation. We have to find the x and y intercept. We have  y - 9xy + 9x = 1 To find…

Q: Find a nonzero vector normal to the plane z − 5(x − 1) = −2(3 — y). - -

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Q: 27. a. Cauchy-Schwartz inequality Since u v = |ul|v| cos 0, show that the inequality u v ≤ |u||v|…

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Q: Use a graphing calculator to graph the equation in the given viewing rectangle. [-50, 50] by [-0.2,…

A: Graph of the function is given as below,

Q: 3x+5 2x-7 a) Find the Limit of f(x) as x approaches positive infinity. Give the exact answer as a…

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Q: The real number t corresponds to the point P P(-3,-4) on fraction, if necessary. on the unit circle.…

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Q: 200N 30° 60° 300N 60° 300N 400N Find the resultant and Ø of the concurrent force system shown

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Q: Find each of the following. Write DNE if the limit does not exist. lim f(x) = x-1 Find each of the…

A: Topic - Limits

Q: 4. Half-life of a substance is the amount of time it takes to reduce to half of its original amount.…

A: We have to find the time and remaining amount of carbon-14.