A = {x|x is a counting numbers between -2 and 2} . B = {x|x are the first seven letters of an English alphabet}

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: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A:

Q: For each of the following, state whether the equation is ordinary or partial, linear or nonlinear,…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: 01 The trigonometric A)x-4 zin substitation to evaluate the integral f√16- x³dx in B)x= 16 sind…

A: Given, ∫16-x2dx

Q: lim x-0 05 02 O O 0 3x-sinx X

A: Given, limx→ 03x-sinxxLetL=limx→ 03x-sinxxL=limx→ 03xx-sinxxL=limx→ 03-sinxxTake separate…

Q: Eliminate the constant: =c₁e²x+c₂e³ 3x

A:

Q: Let f(x) = |x2 −1|. Which of the following functions g is the result of shifting the graph of f…

A: Topic- translation of a function when f(x) is shifted by a units to right and b units up and…

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

A:

Q: Solve the differential equation dy dx = x6+4y x

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

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

A: Concept: First equate the column elements of the matrix on each side  Forming the two equations…

Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A: We need to graph function.

Q: 15. y = x + c₁ e* + C₂ e¯*.

A: We need to remove arbitrary constants.

Q: Find the information for the function, f, graphed below. State your answers using interval notation.…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the function is increasing…

Q: Calculate r' (t) and T(t), where r(t) = (2t - 7,2 – 5t, 3 + 5t). r' (t) = (2 T(t) = -5 5

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

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Q: b. fr st κυω x * y των α 0 0 Ο 0 Ο Ο b 0 Ο 0 c

A:

Q: Q2 is The sequence A) strictly increasing C) eventually strictly increasing B) strictly decreasing…

A: We have to check whether the sequence is increasing or decreasing.  For this we will calculate an+1…

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

A:

Q: families of curves straight lines with slope and x-intercept equal

A: Here is the solution:

Q: Calculate the average rate of change of the given function over the given interval. Where…

A:

Q: Evaluate the integrals (8) secx dx

A: The given integral is sec4x.

Q: (b) lim 4-5x²+2x 3x³-2x+4 848

A:

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: 12. Let f(x) = -x² and g(x) = 1/√x. and go f and state the domain of each composition. 13. Given…

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Q: 13. Bacteria Culture A culture starts with 8600 bacteria. After 1 hour the count is 10,000. (a) Find…

A: NOTE: Refresh your page if you can't see any equations. . assume that the population growth function…

Q: 12. Let f(x) = -x² and g(x)=1/√√x. Find formulas for fog and go f and state the domain of each…

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Q: Find the value of $800 deposited in a bank at 10% interest for 10 years compounded in the following…

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Q: a) Find the Laplace Transforms of i. t²u(t-1) te-3tu(t) cos² (wt)u(t). ii. iii.

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Q: 15. Given that f(x) = x Warnin ₁,8(x) = g(x)= =, h(x) = x² - 1 1' X x- find a formula for fogoh and…

A: We can solve question no 15 as below.

Q: Solve the homogeneous equation (x^2+y^2)dx+2xydy=0

A: see below the answer and explanation

Q: Find the average rate of change of the function over the given intervals. h(t) = cott a. b. л Зл 4 1…

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Q: a/ For the following function, the domain is y = x²

A: We have given function  fx=x2 Domain is the values of x for which a function is defined.  function…

Q: a/the derivative of the following function is y = x² - sin x

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

Q: 8) f(x)= x³ + x²; Find f(-6) 3120 - x; Find w(-4) 10) w(x)=-3x²- (2--2-2; Find 12) h(x) = 4x + 3;…

A: We can evaluate each of the function in the below steps.

Q: √√9-² A) sin ¹(3x) + c. B) sin-¹x+c. C) sin-¹ x + c. 22. dx = c sin(In x) D) sin-¹+c. E) sin-¹+c.

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Q: K Evaluate each expression using the following functions. a. f(g(0)) b.g(f(7)) c. g(g(-3)) a.…

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

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Q: eliminating arbitrary constant y= C1 cos 2x + C2 sin 2x

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Q: 12. Find a quadratic polynomial p(x) such that p(2) = 11, p'(2) = 13, p"(2) = 8.

A: Here we have to find the quadratic polynomial.

Q: i) Find the 20th term of the sequence 35, 42, 49,..... ii) The sum of the 3rd and the 6th terms of…

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Q: Interpret the average rate of change. U.S. education expenditure, as a percentage of total federal…

A: We have to compute the average rate of change.

Q: Write the slope intercept equation of the function f whose graph satisfies the give conditions. The…

A: To write the slope‐intercept equation of the function f whose graph satisfies the given…

Q: 7. lim Z-0 cos²(y+z)-cos² y z A) cos² y. B) 2 sin y cos y. c) 2 cosy. D) - sin(2y). E) cos(2y).

A: L'Hopital's rule is used. Chain rule is used to find the derivative.

Q: √²³(2x − 1)³dx -

A: As per guidelines we can answer only one question at a time. So if you need more answers kindly…

Q: dx *√x2 - 1

A:

Q: ar ar Q4:A: Find and of f(x,y,z)-x-√² +2² dr dy

A: We can find the answers in the below steps.

Q: Find the average rate of change of the function f(x) = square root x from x1=49 to x2=81

A: We can find the average rate of change of the function in the below steps.

Q: verify the following identites 2005 √x = cos(2x-1) 0<x<1

A: To show that, 2cos-1(x)=cos-1(2x-1)            ,                0≤x≤1

Q: C- Find the Fourier expansion of the f(x) = sinx -T< X < T

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

A: Chain rule of differentiation is used.