x2 + 6 (a). f(x) x2 – 6

Q: Find Ay for the given values of x1 and x2. y = x° + 2x; x = 2, Ax = 0.01

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Q: A normal is drawn at a point P(x,y) of a curve, it meets the x-axis at Q. If PQ is of constant lengt...

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Q: uppose that an appliance maker determines that in order to sell q appliances, the price per appli- c...

A: According to our guideline we can only answer first three subparts.

Q: Complete the table after finding a simplified form of the difference quotient. For the function f(x)...

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Q: 2+ -3 -1 2 -2-

A: Given query is to find the inflection points from the graph of derivative.

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-...

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Q: Solve the following quadratic inequality: x2 – 9x + 14 < 0 Write your answer in interval notation. N...

A: Given the quadratic inequalityx2−9x+14≤0    .....(1)

Q: 10 Let f (x) = In (arccosec (aWhat is f' (x?

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Q: A garden with a rectangular shape is to be laid out beside a straight river. The area of the garden ...

A: NOTE: Refresh your page if you can't see any equations. . x=width y=length the area of the rectangl...

Q: Find the volume of solid generated by revolving the region bounded by the curves and lines about the...

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Q: (d) Consider the differential equation for y(x): dy 2ry = xy² . dx %3D 2 The general solution is of ...

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Q: If y = x3 – 2x2 + 3x – 1, then d2y/dx2 is equal to

A: topic - derivatives

Q: A2) Find the derivative of the following functions: x2 + 2 (a). f(x) x2 – 2 (b). f(x) = 2 tan-1(x) –...

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Q: The first term and the last terms of an A.P. are 17 and 350 respectively. If the common difference i...

A: Using formula of general term &amp; sum of terms in AP.

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 6....

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Q: The curved surface area of a cone is 1885cm² and its diameter is 48 cm Find the volume of the cone.

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Q: (a) Find the critical numbers of the function f(x) = x6(x – 4)2. (b) What does the Second Derivative...

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Q: x - 5 f(x)

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Q: (10) Use Cramer's rule to solve the following linear system of equations: x + 2y = 2 %3D x + y = 0

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Q: Find ||u||, ||v ||, and ||u + v||. -(-1. 금), v-(2.-3) v = (2 - ± ) u = 4 (a) ||u|| (b) ||v|| (c) ||u...

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Q: Suppose that R is the finite region bounded by f(x) = 3/T and g(x) = x. Find the exact value of the ...

A: Given curves, f(x)=3x, g(x)=x For the intersections of f(x) and g(x), ⇒f(x)=g(x)⇒3x=x⇒9x=x2⇒x2-9x=0⇒...

Q: You are driving away from home. At​ noon, you are 215 miles away. Your velocity​ (miles per​ hour) a...

A: This question is related to speed , distance and time, we will solve it using given information.

Q: Find the arclength of y 3x3/2 on 1 < x < 3

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Q: - 4メー30

A: Given differential equation is D2-4y = 4x-3ex

Q: 5. 2х + Зу\ %3 х2

A: Given :  2 x + 3 y 4 = x 2  Find :   implicit differentiation 

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal p...

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Q: The figure below is the graph of a second derivative f'' . What are the x-values that are inflection...

A: Given the graph of a second order derivative 

Q: A4) The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 5t³ –...

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Q: entiate g(x)=In(tanhx) in its simplest fo (x)= In(tanhx)sech°x In(tanhx)sech'x tanhx sech'x (x)%D ta...

A: We have to choose the correct answer from the given option according to the given condition

Q: A1) Using the definition of derivative, find the derivative of f(z) = x + 5x + 5. %3D

A: Given f(x)=x^2+5x+5 Now we will find the derivative of given function using definition of derivative...

Q: Ify = (42² + 1)* (1 – æ)° then A y' = -6x (4a² + 1)² (1 – 2*) (æ + 4) ® y = -4# (4x² + 1)² (1 – a*) ...

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Q: If f(x) = 2x5 – 6x² – 4x + 1, find fª(x).

A: d/dx(xn) = n xn-1

Q: Solve for x  7^3x = 3(7^x)

A: Use the concept of algebra and logarithmic.

Q: The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 4t³ – 36t...

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Q: f (x) = x + 4x-1 Determine the intervals where f is increasing and decreasing. Place your answers in...

A: This question is based on application of Derivative.

Q: Find the derivative of the following functions

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Q: dy The function y(x) satisfying = 10x – 7 and y(6) = 0 is y(x) = . dx %3D

A: Given dydx=10x-7, y(6)=0

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how ...

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Q: The first term and the last terms of an A.P. are 17 and 350 respectively. If the common difference i...

A:

Q: what is the absolute extrema of the function: f(x)=cot x - 2x;  [1,2]

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Q: Find the exact length of the polar curve. r= e40

A: Given r=e4θ=f(θ)f'(θ)=drdθ=4e4θL=∫02πe2*4θ+(4*e4θ)2dθ   =∫e8θ+16e8θdθ

Q: The curved surface area of a cone is 1885 cm² and its diameter is 48 cm. Find the volume of the cone...

A: We know, the curved surface area of a cone = πrl volume of a cone = 13πr2h where, r is radius, l is ...

Q: Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph...

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Q: Evaluate the following limits, explaining your reasoning: sin x – x (a) lim (b) lim (1 + x)'/=

A: We will use L Hospital rule here

Q: 4) A piece of land is shaped like a right triangle. Two people start at the right angle of the trian...

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Q: The human population x of a certain island satisfies the logistic law dx/dt with k = 0.03 = 3 x 10-2...

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Q: 3) A rectangular field is to be enclosed on four sides with a fence. Fencing costs $4 per foot 3) fo...

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Q: 8. exy = e4x – e5y %3D

A: we have to derivative