Please do 15 and 17

Q: dy dz 2. x+1 y+1 z+1

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Q: 4. Find the derivative of f(x) =x' +1

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Q: Problem 2 Evaluate the limit if it exists or state DNE (does not exist): V4u+1-3 a) limu¬2 u-2 b) li...

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Q: The high and low tides for a small fishing dock are listed as Low 8ft at 3:00AM, High 15ft at 12:30P...

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Q: Find all critical values for f(x) (x 10) (x + 1)". The critical values occur at x = (Enter your answ...

A: Topic:- function and application of derivatives

Q: 3x +1 at x = 1

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Q: Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows: Let f(z) = VT. Th...

A: Given:     f(x) = (x)1/3   at x = 125      (125.1)1/3 = ?    

Q: Functions f and g are defined by g(x) = V-x+4, x<4; xeR h(x) = 2e*, x20; xeR (a) Find the composite ...

A: g(x)=-x+4, x≤4h(x)=2ex, x≥0a)   (h∘g)(x)    =h(g(x))     =h(-x+4)     =2e-x+4 ⇒(h∘g)(x)=2e-x+4   Dom...

Q: Determine the derivative of the following functions in simplified form (NO negative exponents), wher...

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Q: Find each limit. Use - 00 or oo when appropriate. 4x -8 f(x) = - (x-8)4 (A) lim f(x) (B) lim f(x) (C...

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Q: larger slope y =

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Q: Use the definition of the Taylor series to find the Taylor series of each of the following functions...

A: Given f (x) = sin x, c = π/4  We have to find the Taylor series and  radius of convergence.   

Q: Find the area of the surface obtained by rotating the curve y = x² - In(x) about the y-axis for 3 <x...

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Q: Consider the function f(r) 7x + 4z . For this function there are four important open intervals: (-00...

A: critical numbers are those such that value of the derivative of the function is zero.

Q: a comma-separated list of equations.) Find all horizontal and vertical asymptotes (if any). (If an a...

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Q: Use the Quotient Rule to compute the following: d/dt (t^2+1/t^2-1) at t= -4

A: The quotient rule of derivative is    ddtuv=vdudt-udvdtv2

Q: Find the minimum value of g(t)=t3−588t+4 on the interval [−7,15]

A: We can find the minimum value as below

Q: 1. For the rational function g(x)= x'+7x+12 r+x-6 (a) Explain why x=2 is a vertical asymptote. (b) E...

A: Explanation of the answer is as follows

Q: Given the functionf(x) = x² – 2bx +c, where b and c are constants, determine the values of b, and c ...

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Q: du Formula Answer dy Jey sin( e-y) Csc (e ) . S- 3 dy -Sose u du In cot (e")| +c

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Q: Find the area of the surface obtained by rotating the curve y = sin(4x) about the a- axis from x 0 t...

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Q: f(x+h)-f(x) = 2xh+h^2 -3h compute and simplify  f(x+h)-f(x)/h

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Q: et Q(t) = t2. Find a value A + 1 such that the average rate of change of Q(t) from 1 to A equals the...

A: Given query is to find the value of A for which average rate of change will be equal to instantaneou...

Q: A vector, - (a,b,c), has a direction angle of 45° with the positive x-axis and a direction angle of ...

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Q: For each of the following vector fields, find its curl and determine if it is a gradient field. (a) ...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: f(x+h) = x^2+2xh+h^2-3x-3h compute and simplify. f(x+h)-f(x) =

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Q: The figure shows the median lifetime eamings E in dollars determined by the highest level of educati...

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Q: 2/3 Consider the function f(r)--7(x--3)**. For this function there are two important open fntervats:...

A: We need to find the Critical points of  f(x)=-7x-323

Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

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Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

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Q: Evaluate the limit. 37-192x2 lim,+4-4x²+x° 3

A: Given query is to find indicated limit.

Q: p) Find f o g oh with its domain of definition: f(x) = |x – 4|, g(x) = 1 ,h(x) = Vx %3D %3D X - 1 c)...

A: We have to find the domain of the function in first problem.  We also have to find the function g(t)...

Q: Y= (5x1)"(4x²-) こト

A: Given that the relation between x and y.. And use the product rule of differentiation  and then simp...

Q: To solve the integral sin 60 v cos 60 d0, rewrite the integral as 2 sin 60 V cos 60 sin 60 d0. Use t...

A: Use, sin2(t) + cos2(t) = 1         sin2(t) = 1 - cos2(t)

Q: J-x if x<1 (x+1 _if x21 7. If f is the piecewise function f(x)=- (a) Evaluate f(-2) and f(2). (b) Sk...

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Q: Kirk's Convenience store sells 15 different brands of chocolate bars. Of these, 6 brands contain nut...

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Q: Given P = R³ S°T0.5 + R0.5 S sin(2T) what is P as

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Q: 2х -1 b) Find all asymptotes of f (x) = х —1 Show all necessary limits (including one-sided limits, ...

A: Given:- f(x) =(2x-1)/(x-1)  To find:- All asymptote of f(x) 

Q: The Action Toy Company has decided to manufacture a new train set, the production of which is broken...

A: We hve to draw correct precedence diagram. 

Q: fine the derivative flx) = (x" t 5v?_q) %3D

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Q: 5 sin“(3t) dt

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Q: is equal to: 3. After simplification, the product () B) - 18x2y A) 24xy3 3x²y 4xy3 18x D) - 3x 24y2 ...

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Q: ompute the instantaneous slope at: (-1,-1) A: (-1,-1) and B: (x,-1/x+2) so triangle x = triangle ...

A: We have to find the instantaneous slope at: (-1,-1).

Q: csc h5B- coth 5B

A: ∫cschax dx =-1acoth (ax) +C ∫csch (x) .coth (x) dx = -csch(x) +C

Q: 6. Find f'(1) if Ax) = nx

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Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. -x2 2xe dx

A: Given integral  ∫0∞2xe-x2dx We have to find integral for converges or diverges.

Q: Use the difference an+1– an to show that the sequence - {n – 9n}+0 In=1 is strictly increasing or st...

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Q: - A= 1 Then adjA IS 4 4 1 O -1 4

A: Topic:-  matrix algebra

Q: Given * = (1+ a -- 14) dy 2 5 3 2 What is the value of k such that y is parallel to the curve

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Q: dx using the Trapezoid Rule, and n=6. Your answer should be to the tenths place (so of the form X.x)...

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