Twenty students like both the first (Set A) and second (Set B) techniques in solving a mathematical problem while 20% of the total students like only the second method. There are 126 students who like the first technique which comprised the 60% of the total students. Find A U B. O 190 O 210 62 42 168 O 148

Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

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Q: f'(r)

A: Follow the procedure given below

Q: (a) If f(x) = x* + 3x, find f'(x). f'(x) = (b) Check to see that your answer to part (a) is reasonab...

A: Given: f(x)= x^4+3x f'(x) means  we have to find derivative  So, the derivative of f(x)  f'(x)= 4x^3...

Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D...

A:

Q: Given f(x) = 2x + 5 when x cannot equal 1, and f(1) = 6. a) Sketch the graph of f. b) For wha valu...

A: Firstly , we draw the graph of the given function and after that find the value of 'x' .

Q: Wnete to y=2x=1 equotion for Hhe line Pacallel the Doinit 4,9) an and

A:

Q: Using the following graph of the function f, evaluate the limits (a) through (i). Write 0o or - 00 w...

A: topic - limits note: As per bartleby guidelines we are supposed to answer only first three subparts ...

Q: Solve the equation on the interval 0 s 0 < 2. cos2 e-1 0 COS 1.

A:

Q: (In 10x+ 41nx) ³dx A Inx B In°x+4 In°x D In 10x+4lnx In 10x+ 4lnx E F None

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Q: Let z(x, y) = xy where x = r cos( 40) & y = r sin(0). dy dx ar dy dz Calculate ar dz by first findin...

A: NOTE: Refresh your page if you can't see any equations. . .

Q: The cost, in millions of $, to remove x% of garbage from a landfill is given by 210x C(x)= 100-x a) ...

A: (a) In the given question, x is the percentage of garbage to be removed from a landfill.  So, We can...

Q: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

Q: Question 3 The slope of the tangent line to the graph of 4x2 + cx – 2e" = -2 at (0, 0) is 4. Give th...

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Q: A local company makes two flavors of jam—strawberry and raspberry. Both flavors are sold through thr...

A: Here is the solution

Q: 4- 2- -6 -5 -4 -3 -2 -2 -3 Find the following limits. f(x) lim I1- g(x) O-00 O 0 O Does Not Exist

A: topic - limits

Q: Given f(x)=−2x^2+4x+13, find f′(−4) using the definition of a derivative.

A: f'(a) = limh→0 f(a+h)-f(a)h.

Q: Solve for the differential equation: x (y -1) dx + (x+1) dy = 0. If y = 2 when x = 1, determine y wh...

A: To solve the differential equation. 

Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

Q: 4 The function f(x,y) = corresponds to x² + y? plot [ Select ] level curve [ Select] >

A: Here, the given function is: f(x,y)=4x2+y2

Q: The line : X - 3t, y = 1 - 2t, z = 2 - t is perpendicular to the plane: X - y - z = 1.[g]

A: Given that equation of line x=-3t ,y=1-2t ,z=2-t and equation of plane x-y-z=1To chaque the line and...

Q: Reduce the equation to standard form, classify the surface and sketch it    4y2 + z2 - x - 16y - 4z ...

A: Given: 4y2 + z2 - x - 16y - 4z + 20 = 0

Q: Directions: Use the reference angle and appropriate sign to find the exact value of each expression....

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: 3 Į>(4»*+ 12y²+ 9) *dy A (2y²+3) 2 3 B(2y²+3) © (2y²+3) D 4y4+ 12y²+9 None

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Q: Determine an equation for the line tangent to the function at x-e. O Al y--) TT O B) y--) 1 (x -e) D...

A:

Q: f(r) = 4² and g(x) = 3². What is f'(2) = What is g'(2) = Which has a higher rate of change at r = 2?...

A: Given that: f(x)=4x and g(x)=3x

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

A: Solution: Given that  x: selling price of the buko

Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear ...

A:

Q: Let f(x) = (- 3r- 9)* (6z² – 6)5 4 f'(x)=

A:

Q: Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtained ...

A: This question is related to definite integration, we will solve it using given information. 

Q: Evaluate the integral. 3. 2 sec °x dx * T/ 4 - π/4

A: Given that a integration and we solve this integration by using general property of integration. We ...

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

A:

Q: Mcru bewa IS SA SOTA 2. Solve each of the following using graphing calculator for 0<x< 2n. Round to ...

A: We have to find the solution of the given trigonometric the quations using graphical approach.   Not...

Q: T sin(x) cos(x) dæ = Hint:

A: Topic:- integration

Q: An electronics company can sell x cellular phones at a price of p(x)=−0.04x+700 dollars per phone. T...

A:

Q: The figure below shows the graph of a function over the closed interval -25xs2. Complete parts (a) t...

A: Topic:- calculus

Q: Let w(x, y, 2) = a? + y? + 2? where a = sin( – 9t), y = cos(- 6t), z = e". dw dæ dy dz by first find...

A: We have  W= x2+y2+z2  Where , x= sin(-9t) , y= cos(-6t), z= e3t  Find dx/dt, dy/dt, dz/dt and dw/dt 

Q: Differentiate the function after first rewriting the function Tn a different form. (Do not use the p...

A:

Q: Let f(x) = 7x and g(x) = 4- x2. Find the following. (a) (f+ g)(x) (b) (f- g)(x) (c) (f g)(x) (d) (x)...

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Q: lim f(T) = 1, lim f(r) = – 00, I -2 f(-2) = %3D 4- 3- -5 -4 -3 -2 A1 2 3 4 -2 -3- -4-

A:

Q: Find (f o g)(x) and (g o f)(x). 8. 10x) = 5x² - 3; g(x) = = %3D (fo g)(x) =| (Simplify your answer. ...

A: Given that f(x)=5x2-3,    g(x) =8x. We have to find f∘gx and g∘fx. Now, f∘gx = fg(x)         and    ...

Q: S sin?y dy

A: Here we will solve given integral,

Q: Consider the curve defined by the equation 2x +y 3xy for questions (4-6). 3. 2 -3 -2 -1 1 2 3 -1 -2 ...

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Q: t y = t dy Find dx 1 8t dy dx t dy Find dt dy dt + II II

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Q: Find the linearization at x = a. y = (10 + x)-12, a = 9 (Use symbolic notation and fractions where n...

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Q: Find the following using the table below. 1 2 3 f(x) f'(z) g(x) 1 4 4. 1 2 4 (x),6 h' (2) if h(x) = ...

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Q: Given f(x)=−3x^2−x+15, find f′(−3) using the definition of a derivative

A: We have given a function f(x) First we find f'(x) by using the definition of derivatives.

Q: a. lim f(x) b. lim f(x) x→4+ c. lim f (x) 1. x-4 X→4-

A: Given query is to find indicated limits.

Q: Let us say that you are planning to calculate the volume of the space inside a can that is about 3 i...

A:

Q: Find the limit: 1+y² In lim (x,y)→(1,0) l22+xy/

A: Topic:- limits 

Q: 3. j. lim f(x) k. lim f(x) X→3+ 3. 1. lim f (x) I m. lim f(x) x→3 y f(x) n. lim f(x) о. f (3) X→+∞

A: