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Q: An oil refinery produces oil at a variable rate given by the following equation, where t is measured...

A: An oil refinery produces oil at a variable rate given by the following equation, where t is measured...

Q: Find f '(x) and f '(c). Function Value of c f(x) = (x4 + 2x)(2x3 + 4x − 3)     c = 0 ...

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Q: Determine whether the function has any absolute extreme values on his domain if the function has or ...

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Q: 2x + 8 7x - 1 Let f (x) = Then the derivative of f is Ax + B f'(x) = where %3D (7x – 1)C' - A = %3D ...

A: Explanation and solution is given below....

Q: The wind-chill index W is the perceived temperature when the actual temperature is T and the wind sp...

A: Given that the wind chill index W is the perceived temperature when actual temperature is T and wind...

Q: Write the application of Deravative " relative of maxima and minima with example also explain it". P...

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Q: A flashlight shape like a paraboloid has its light source at the focus located 1.5cm from the base a...

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Q: Write the first four terms of the sequence whose nth term, or general term, is given:

A: a. an=3n+4 Put n=1, 2, 3 & 4, we get a1=31+4=7a2=32+4=10a3=33+4=13a4=34+4=16 Hence the first fou...

Q: The annual inventory cost C for a manufacturer is given below, where Q is the order size when the in...

A: Given that  C = 1,005,000/Q   + 5.4Q + 5.4Q  

Q: Make sure its correct!

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Q: Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to the graph of the functio...

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Q: Solve the equation 2(x - 3) + 5x = 8(x - 1) or inequality.

A: Given equation is 2x-3+5x=8x-1. To solve the given equation. Solution: First we will simplify on bot...

Q: Two ships leave port at the same time. One travels north at 6 knots (that is, 6 nautical miles per h...

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Q: At noon (t= 0), Alicia starts walking along a long, straight road at 4 mi/hr. Her velocity decreases...

A: Velocity function for Alicia  is given by  v(t)=4t+1      for t≥0 And Velocity function for Boris  i...

Q: A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running ...

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Q: Given the function f(x)=x−−√3, find f′′(x).

A: Given, f(x)=x-3

Q: I know that P(x)=R(x)-C(x) and I know that P(80)=$3100 and P(90)=$3050 so the correct answer would b...

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Q: Write 5 applications of Deravative with explanation in detail.Also Write examples.

A: Explanation and solution is given below....

Q: 6. Evaluate the following integrals: Vx dx a) 1+ Vx

A: Given integral is ∫xdx1+xx. Apply u-substitution method: u=x ∫xdx1+xx=∫2u21+udu Take the constant te...

Q: Find the value of the trig function indicated. 3) tan 0 7 23

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Q: You are ordering bags of jelly beans to make jelly bean soup. Each bag contains 12 jelly beans, and ...

A: Pigeon-hole principle:  If (n+1) pigeons(objects) are placed in n-holes(boxes), then at least one ho...

Q: Q1 A line is drawn through the point (3, 3) making an angle of 45 with the positive direction of the...

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²), (4...

A: Given that       the equation is 3(x2 + y2)2 = 100(x2 - y2) The point is (x1, y1) = (4, 2) We have t...

Q: Find the derivatives of the following Y= Canx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: 6. Find the particular solution to the differential equation: (y +2)y"=3x*y+4y, given: y(0) = 1 (sup...

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Q: Calculus Question

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Q: Find f'(a) for -7 f(x) = V11 – 9a f'(a) = %3D

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Q: A population of 500 bacteria is introduced into a culture and grows in number according to the equat...

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Q: Find the ninth term of the arithmetic sequence whose first term is 6 and whose common difference is ...

A: Given,  a1=6 and d=-5. The objective is to find the 9th term of the sequence. Now, The general term ...

Q: 8. Q1) Find the line that passes through the point (4, - ) and through the point of intersection of ...

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Q: еxpand (z+1)(z-2)' about z=1

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 2 arcsin x

A: Given,          The equation of the tangent line to the graph of the function y=2arcsinx           a...

Q: 3- Solve the inequalities, expressing the solution setsas intervals or unions of intervals. Also, sh...

A: Answer 

Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = cos(...

A: Given that, rt=cost i+8t j+3sin2t k,   t=0 We need to find the unit tangent vector Tt at t=0.

Q: Calculus Question

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Q: Find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is...

A: we have to find the eighth term of the arithmetic sequence whose  first term is 4 and whose common d...

Q: Find an equation of the tangent line to the graph of the function at the given point. y = arctan 3. ...

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Q: Q2/ Which of the following series is convergent? 24+ 3 4

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Q: Determine the derivative of f(x)=(e3x−1)5.

A: We have to find the derivative of function

Q: 2. Given, A-1 = +[ 3) a) Use the above inverse matrix to solve the system of linear equations AX = b...

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Q: Use polar co ordinates to find the volume of the given solid  above the cone z=sqrt{x^2+y^2} and bel...

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Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at...

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Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane...

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Q: Find fy(1, 0) and f,(1, 0) and interpret these numbers as slopes for the following equation. f(x, y)...

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Q: A hemispherical bowl of radius 9 inches is filled to a depth of h​ inches, where 0≤h≤9. Find the vol...

A: Explanation and solution is given below....

Q: Suppose an object is thrown down from a cliff with an initial speed of 4 feet per sec, and its speed...

A: Given, speed of the object after t seconds is, st=32t+4. So, it can be written as st=dhdt=32t+4, whe...

Q: Please solve a question fully all the points I need this Answer at half time Quickly. Please

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Convert the point (x, y, z) = (2, 4, – 4) to cylindrical coordinates. Give answers either as express...

A: Given point x,y,z=2,4,-4. The cylindrical coordinates can be given by, x=rcosθ    ...1 y=rsinθ    .....

Q: Solve question 1

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Q: Use the method of cylindrical shells to find the volume generatedby rotating the region bounded by t...

A: Given in problem: Y= 4-2x X=0, y=0,. Around the vertical line x=-2