Question 1 11 Given: y = 6 x³, Find P.S. if y (0) = 2 Ay(0) = 1 Oy = 3x5 + 20x + 20 O y = 3x5 + 2x + 1 O 10y = 3x5 + 2x + 1 O 10y = 35 + 20x + 20 O None of the Choices

Q: Make a table of values for the equation. y = 1 + √x X 0 1 2 4 9 16 y Sketch a graph of the equation.

A: Consider the equation  y=1+x

Q: 41-42 Show that is continuous on (-∞∞). x¹ ifx1 41. f(x) - In x

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Q: csc(x+h)-cscx h Q18: lim A-0 Q19: If siny = x then = A)-escx cotx_B) csex cole A)secay tany ad du at…

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Q: Q13 If S, 4+ is the nth partial sum for the infinite series find the value of ay A) - B)-- (C)- D)…

A: We can solve this as follows:

Q: b/the limit of √1+x+1 lim X→0 X 02 O 1/2 O 0

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Q: Sketch the graph of the function by first making a table of values. H(x) = |x + 1| X -4 -3 -2 -1 0 1…

A: The graph can be sketched by plotting the points on XY plane

Q: 2. Express the rational function as a sum or difference of two simpler rational expressions. (Note:…

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Q: ES e the following integrals. •/176 Jee 14. 16. e² dl 1 + 66²1 + 9e¹ ● elan de cos³ 8

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Q: After Julia has driven for a quarter of an hour, she was 170 miles east from Denver. After driving…

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Q: 1 7. f(x) = √√√1 + √1 - x, at x = ² 4

A: Chain rule of differentiation is used.

Q: The values of x, y for the following matrix equation are x-2y -2 3 1-[-²2 6 0 2 x+y

A: Given x-2y  0  -2  6=3  0   -2  x+y

Q: a/the result of ооо . 2п О 1 -1 sin x dx

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Q: Evaluate the integrals (4) fin (3x-2)dx

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Q: 01 02 Q3 Q4 05 Q6 07 Q8 OU 09 Q10 Q13 The trigonometric substination to evaluate the integral…

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Q: Is that 1 dollar per month or 1 months per dollar

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Q: A = {7n +4 | neN}, B = {3n+2 | n E N}. (a) List three elements in A. (b) List three elements in B.…

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: Sketch the graph of the function by first making a table of val f(x) = 3 + √x x 0 1 4 9 16 25 f(x) =…

A: Given: f(x)= 3+√x

Q: [1 0 -1 39

A: NOTE: Refresh your page if you can't see any equations. . use the diagonal matrix formula

Q: K Evaluate each expression using the following functions. a. f(g(0)) a. f(g(0))= b. g(f(5)) c.…

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Q: Find A and B given f(x) = (3Ax² + 2Bx-x³ 3A - x-1 (5Bx + +4-3A x≤2 is differentiable everywhere. x>2

A: NOTE: Refresh your page if you can't see any equations. . it is given that the function is…

Q: In Problems 7-10, xc₁ cost + co sin t is a two-parameter family of solutions of the second-order DE…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 6x + e…

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Q: Find the domain and range of the function: f(x) = 3x, f(x) = 6x, −7 ≤ x ≤ 2, f(x) = 6x2…

A: Find the domain and range of the function:  f(x) = 3x,   f(x) = 6x,  −7 ≤ x ≤ 2,   f(x) = 6x2 + 7,…

Q: 4. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x.

A: Topic = Area

Q: 1. Given that lim f(x) = 4 x-2 lim g(x) = -2 x12 find the limits that exist. If the limit does not…

A: Given limx→2fx=4, limx→2gx=-2 and limx→2hx=0

Q: Find the differential equations of the following by ELIMINATING ARBITRARY CONSTANTS a. x Asin(wt +…

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Q: Estimate the indicated derivative by any method. (Round your answer to three decimal places.)…

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Q: III. Find an angle between 0° and 27 that is coterminal with the given angle. 1.-21m 2. 5 3.- 51 12

A: To find coterminal angle we have to add or subtract 2nπ until the angle lies between 0 to 2π.

Q: The table shows the marriage rates per 1000 population for selected years since 1960. (A) Let x…

A: Given Marriages per 1000 population Date Marriages 1960 8.2 1970 10 1980 10.3 1990 9.6…

Q: 1) Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4…

A: Use polynomial concept

Q: y" + 6y' + 9y = 100e ²x

A: y''+6y'+9y=100e2x

Q: Direction. Write the letter of the correct answer on a separate answer sheet of paper. 1. The…

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Q: Determine the g" ty T solution 2 the of given sin falt; y/o) = 10 y 10) = 0 77

A: The given differential equation is; y''+y=sqrt(2) Sin(sqrt(2)t), y(0)=10, y'(0)=0.

Q: 20. Compute the area bounded by the curve y² = 4x and y² = 8x - 8.

A: Let's find area bounded by the curve.

Q: Use Gauss Jordan row reduction to solve the given systems of equation. 2x + 8y = 10 and x + y = 5

A: given2x+8y=10x+y=5

Q: Q1: The area of the surface generated by rotating the line segment joining the points (3,1) and(6,3)…

A: Surface area generated on rotating a curve y=f(x) over the inetrval a≤x≤b is given by…

Q: The values of x, y for the following matrix equation are x-2y -2 X = 05 06 03 3 0 ]-[-²2₂ 6] [-2…

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Q: -5 -4 -3 1 In the above graph of y = (3, ƒ(3)). 4 3 2 -3 4 -54 f(x), find the slope of the secant…

A: Topic- Slope of a secant line we are given two points on the graph as (-3,f(-3)) and (3,f(3))…

Q: (b) 8x³+6x2-3x-1=0

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Q: Q8 09 A)Converge Absolutly 3 B) Diverge Conserge D) Conditionally Converge AWE A) Diverge B)…

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Q: A company supplies a product according to the pricing function, p(x)=0.79x+47px=0.79x+47. The…

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Q: 05 Q6 A) Which of the following seri 1) C) 1 D) diverge D) 1

A: We need to find summation.

Q: If the general solution of (2+²-3y2) y'= 2xyżsy"In|y"+xª = Cy", what is the value of b? (A) 3 B 2 -1…

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Q: I. Write TRUE if the statement is correct and FALSE if not. 1. {0} - Ø 2. (0,1,2) and () are joint…

A: Solution is given below:

Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a…

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Q: Consider the vector function r(t) = (t, t¹, t³) Compute r' (t) = (1, 4t³, 8t7 3 T(1) = ( r' (t) = (…

A: Recall:  T(t)=r'(t)r'(t)

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

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Q: xy² = x + cx³

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Q: Evaluate the integral when x > 0 Answer: [n(x² + + 15x +36) dx.

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Q: Sketch the graph of the function by first making a table of values. f(x) = 13x - 3| X -5 -2 0 1 2 5…

A: Given function:- fx=3x-3