y = -14x+49. X-7

Q: 1.) 'An= (n +4; give the first 5 terms.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: Given length of wire = 20 ft

Q: 3 SFF X ex

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Q: -8-521-7-2 ²1₁-7-2 3-25 95-16 + 8+65 45249

A:

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A: Cost function C(x) = 375+ 0.75x^(3/4) Then find the rate at which average cost is changing?

Q: 3.) (t+z)dt - (z - t)dz = 0

A:

Q: 14. Find f'(x) using the limit definition of the derivative. 3x x+1 f(x)=

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Q: aquar the aquarium. (Use Show how to approximate the required work (in J) by a Riemann sum. (Let x…

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Q: b. y = 2x² - 1 x + 1

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Q: Sketch a graph of f(x) = −2(x+1)^3 −6 by using a sequence of transformations of a well-known…

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Q: Part 2: Graph the linear equations using a table of values. 7) y = x + 2 X 7 4 0 -8 -6 -4 X+2 -2 6 4…

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Q: Determine whether the function G(x,y) { Is xy2/3 30-7x3, if (x,y) = (0,0) √√√x+2y³ if (x,y) = (0,0)…

A:

Q: A certain retailers will buy 26 cordless phones from a supplier if the price is $31 each but only 27…

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Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

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Q: Evaluate lim (√9x² V92 _5 +1+ 5x+1+3x). - x418

A: Find limit of function

Q: B: Evaluate the following: r (4)r (²) 1-

A:

Q: The given table represents a pattern of exponential growth.   x      1        2          3 h(x)…

A: Topic- Exponential growth model  we are given points of a exponential function as h(1)=11.8…

Q: 5. The f'(7) for y=v

A:

Q: 2x + [2x] x+ 2+ x² + x - 2 Evaluate lim 2x+ [2x] x+ 2 x²+x-2 and lim

A: Given information limx→-2+ 2x+2-xx2+x-2     and    limx→-2- 2x+2-xx2+x-2.

Q: find the values of k for which the matrix A is invertible

A:

Q: Which of the following is NOT a part of Quantitative Analysis?   a. Logic b. Weather c. Historic…

A: a. Logic - Logic is an analytical philosophy. b. Weather - Weather is a quantitative analysis…

Q: Find the derivative of f(x)= (428 + 22-1) ⁹.

A:

Q: 6S-4 Q4/A: 1- L-1. 52-48+16 B: Fit a second order polynomials to the data in the following: X 5 6 Y…

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Q: Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) = y(0)…

A: For a second-order differential function, the characteristic equation will have two roots D1 and D2…

Q: Solve the given linear differential equation.Use C as the constant of integration in your solution.…

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Q: h-x² + ₂x [[x-h]] + xh x² + 3x-4 [[X-h]] +xh th-EX lim X⇒ −4° lim

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Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values. (a) (fg)'(5) (b)…

A: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values.   (a) (fg)'(5)   (b)…

Q: Let k (x, y) = e 4x cos (x+2y). Considering any value for (x, y) an element of the domain of k,…

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Q: Find the real value(s) of x that verify the equation √x + √(x+2) = 0

A: The given equation: x+x+2=0 To find the real values of x that verify the equation.

Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A: From given table

Q: Suppose the position of an object moving in a straight line is given by s(t) = 2t² + 3t+2. Find the…

A: Given:   The position of an object moving in a straight line is given by s(t)=2t2+3t+2 We have to…

Q: Find y" for 18 = 4x² +9y² and simplify.

A:

Q: B: Evaluate the following: r (4)r 1– r 912

A:

Q: Evaluate_lim_ (√√9x² − 5x+1+3x).

A: Replace x with -a and then go ahead.

Q: ← Find f'(t) if f(t) = -4t² +9t+3. f'(t) = K

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Q: 9. Find the first four non-zero terms of the Taylor series for f(x) = - centered at %3D

A: We have fx=1x The Taylor series for fx centered at x=a is given by:…

Q: Solve the given linear differential equation. Use C as the constant of integration in your solution.…

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Q: 4. Find the Laplace transform of following functions: (i) (ii) (iii) f(t) = 20 f(t) = t - 2et f(t)=…

A: Basic formulae for Laplace Transform are required.

Q: When purchasing a heat pump unit, an installer is given discounts of 12%and 2%. The unit is priced…

A: Given, Marked price (MP) of heat pump =$3400 Discounts 12% and 2%

Q: Find the slope of the graph of the function at the given point. (If an answer is undefined, enter…

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Q: A graph of a function is given. Use the graph to find the indicated values. y + 0 (a) f-¹(1) (b)…

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Q: Evaluate each limit, if it exists: a)lim ²-4 X-2

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Q: Calculate the difference quotient for f(x) = 5x² at a = 6. (Express numbers in exact form. Use…

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Q: Multivariate Calculus

A: We have to find the region bounded by the curves:x+y=2 ,  x=0 , y=0.Here x+y=2⇒y=2-x⇒y=(2-x)2…

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Q: Find values of cl and c2 so that the given functions will satisfy the prescribed initial conditions.…

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Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: The height of a straight circular cone measures 15 cm and decreases at a rate of 0.2 cm/min. The…

A: Volume of cone V=13πr2h Differentiating with respect to t…