Find dy. y= (4x*+3)/2

Q: x - 5, x21 (b) A function ƒ is defined by f(x)=. 1 x<1 Show that f is differentiable at x = 1. Hence...

A: We have to show our function is differentiable or not at x=1

Q: y = [ senau ли? sen("-)du x = cos du 2 cos

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Q: Caitlin leased a car for 4 years at a rate of 5.80% compounded monthly. It required her to make paym...

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Q: (a) If $2,300 is borrowed at 7.5% interest, find the amounts due at the end of 4 years if the intere...

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Q: Find the value of c for which the area enclosed by the curves y = c - x and y = x - c is equal to 10...

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Q: f (x) = x6 + 12x 2 at x = 1 %3D

A: Here,            f'(x)=x6+12x-52'        =x6' +12x-52'        =6x5-30x72        =-30+6x172x72 And at...

Q: Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у — 3...

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Q: Let R(x), C(x), and P(x) be, res pectively, the revenue, cost, and profit, in dollars, from the prod...

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Q: Consider the following function. f(x) = −x2 − 14x − 9 Find its average rate of change over the inter...

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Q: 14e" dx 1+ e20

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Q: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D 5...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Find the volume formed by rotating the region enclosed by * = 11y and y = ¤ with y > 0 about the y-a...

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Q: y considering different paths of approach, show that the function below has no limit as (x,y)→(0,0)....

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Q: What is the angle of the inclination (to the nearest whole degree) of a stairway with the floor if t...

A: According to question,Given,steps have a tread of 11 inches and a rise of 6 inches.

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = (1 + x) F(x) = Fx) = (...

A: According to question,Given Function,fx = 11+x4

Q: an object is traveling on a path of y=sprt(x+3) where will the object be closest to (2,0)

A: We have to find the closet point to (2, 0) 

Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3)

A: Distance between two points are  √(x1-x2)^2+(y1hy2)^2  

Q: Let , be a series with partial sums Sy. If a-fn), where f(x) Time ieft continuous, and decreasing fu...

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Q: Find a unit vector perpendicular to both (3,-2,4) and (-1,2,-3).

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Q: Using Figure 1, complete the following function. Figure 1 csce = r/u v/u v/r r/v u/v u/r O O O

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Q: 22ニ」 dx ズ+ぞ

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Q: Suppose f is a function for which f'and f" exist. You are given that: S(0) = 1 S'(0) = 5 %3D %3D f(2...

A: here we use the integration by parts see below the answer and calculation

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. d.x +C Væe(20...

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Q: 19. If 30 Ib of rice and 20 lb of potatoes cost $23.40, and 20 lb of rice and 12 lb of potatoes cost...

A: This question is based on elimination of one variable.

Q: If f' is continuous, f'(2) = 7, and f(2) = 0, then

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Q: Question Q is the region bounded by the graph of v(y) = 6y , x = 2, and y = 0. Find the volume of th...

A: Suppose that y=f(x) is a continuous non-negative function on the interval a,b.The Volume of the soli...

Q: r(t) = t? i + 2t j, t = 1 Find the tangential and normal components of acceleration

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Q: Find the solution of the following Differential Equations 2) y'+2xy = 0

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Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y

Q: Find the tangent plane of the surface z = f(x, y) at (0,0, 0) in which 3y f(2, y) = || cos /3 t dt.

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Q: Evaluate

A: We will find f''(2).

Q: 1. Consider the function f(x) whose graph is given below. If a discontiuity is Emumerate all discont...

A: Discontinuity

Q: How do we know the series is clearly conditionally convergent in a)?

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Q: 5 on the interval [-4,4] x3 Find the average rate of change of g(x) = 3x2 +

A: Given problem:-

Q: lim (Vx2 + 4x + x)

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Q: lim Example 21. x → 0 Jx + a - Va: |

A: see below the answer and calculation

Q: Express the arc length of the curve y =+ between x= -3 and x = -1 as an integral. A dx. E) None of t...

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Q: dx Vre(16/:

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Q: Find the distance between the points (distance formula) 5.(2a+c, 2d), (2b-c, 2c) 1.(3, 2), (4, -3)

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Q: Calculate the accumulated amount of end-of-month payments of $8,500 made at 4.21% compounded quarter...

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Q: Which of the following statements) is always true for a function f(r)? Explain your reasoning with w...

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Q: Find the first six terms of the sequence, starting with n = 1. an = 6 + (−1)n for n ≥ 1

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Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

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Q: Identify the following as scalars, vectors or meaningless a) a (bxc) b) (a•5)x(cxd) c) (axb)•(exd) d...

A: Find your answer below 

Q: Using Figure 4, complete these functions. P(-20, 21) Figure 4 sine = -21/29 20/29 21/29 -20/29

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Q: Solve the following ODE numerically dx t3 – 2x -, for 1 <t< 3 with x = 4.2 at t = 1, t %| dt and plo...

A: Please see the below picture for detailed solution. 

Q: The integral that represents the arc-length of the curve y = In x, x E [2,3] is: A) 3 Vx2+1 dx. B) r...

A: Please refer to the image below

Q: a) Using an operator , solve the following differential equations d²y dy 20y = 0 dx dx2

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Q: II. Find the derivative of the following functions. 1. f(x) = x3+x x4-x2+1

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