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Q: Find the point on the graph of the given function at which the slope of the tangent line is the give...

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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: 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-

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Q: Write the equation of the tangent line to the graph of y=x2  the point where x=2.5

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

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Q: g(æ) = t -t dt g'(4) =|

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

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Q: Divide the numerator and the denominator by the highest power of x in the denominator and proceed fr...

A: Firstly , we can divide denominator and numerator by the highest power of 'x' and then find limit.

Q: lim (x,y)→(0,0) f(x, y) to be along the path Y = x. Based on the table of values, enter what you bel...

A: Based on the table values we have to find the limit value.

Q: Consider the following mathematical statement. s: No FEU student is lazy. A. Give three (3) statemen...

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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: In this calculus question, Find the equation of the tangent line and normal line to the graph of the...

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Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: 3 a (a) In 64cl (b) In V/bªc²a! 2

A: Given that: lna=2, lnb=3, lnc=5.(a)lna3b4c1(b)lnb4c2a(c)ln(a3b4)ln(bc)1       NOTE: As per our answe...

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: -5 S(x) -5 -5 List any x-values at which f is not continuous. Enter your answer as a com smallest to...

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Q: dx Jx +

A: Given that: ∫dxx+x3

Q: 4.8 0.6 1.4 Given 14.5 -0.5 2.3 the 7.6 2.1 3.4 multiplier required to make the element a31 to be ze...

A: Find your answer below 

Q: 3. Find the integral x² +12x +12 dx x' - 4x

A: Given,            ∫x2+12x+12x3-4xdx

Q: Find symmetric equations for the line of intersection of the planes. 4x — 2у — 2z %3 0, 2x + y + z =...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is 

Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form :                dydx=ax+by+ca'x+by'+c', provided , aa'≠bb'.T...

Q: The graph of y = f(x) has the following features: f(– 2) = - 2 lim f(z) = 2 %3D H -2- lim f(r) = - 1...

A: Given : f(-2) = -2   

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

A: Here is the solution of the given problem. Leave surface and selecting the given curve.

Q: クメ- 2 dx +2x +17

A: Given that ∫033x-2x2+2x+17dxSolution : put 3x-2=Addxx2+2x+17+B3x-2=A2x+2+Bput x=-13-1-2=A-2+2+BB=-5p...

Q: 1 ao et/2 dt = 0.50 2 An e-1/2 cos 2nt dt = 0.504 1+ 16n? 8n b, = et/2 sin 2nt dt = 0.504

A: a0 = (1/π) ∫0π e-t/2 dt , put -t/2 = x , dt = - 2dx Using formula ∫ et dt = et + c a0 = (1/π) ∫ ex (...

Q: Find the indicated derivative and simplify. dy 41 Int for y = - dt et

A: Product Rule of differentiation : du.v.wdt =dudt.v.w+u.dvdt.w+u.v.dwdt.

Q: What is the critical point of the function f (x) = cos x?

A: what is the critical point of f(x)=cos(x)? for critical point, f'(x)=0

Q: Differentiate the function. g(x) = x2. - - 4x + 13 g'(x) = %3D

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

Q: dz 2 zV25z2-9

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Q: Find the slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

Q: Find the general solution to x*/ = x*y – y°.

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Q: 3. Find the volume of a sphere with radius r by integration.

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Q: Use los, differentiation to find dydx X+3

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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: As the table shows, projections indicate that the percent of adults with diabetes could dramatically...

A: This question can be solved using line of best fit(method of least square)

Q: Find: Ex, fxx , fy, fyy, fxy, Fyx x +y F(X, y) = X+y x4-1

A: Given that: f(x, y)=x+yxy-1

Q: Suppose we need to find an equation of the plane that passes through (1, 2, -2) that contains the li...

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Q: e12t S. dt V4e6t–1

A: NOTE: Refresh your page if you can't see any equations. . substitute  ...............put it bac...

Q: s³(Ø) + sin(20) – 3 cos(0) cos F(8) de = J sin (ø) + 3 cos²(0) + 2 sin(8) – 3 Hint: Try substituting...

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Q: The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,247. If ...

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Q: Give a value for c that satisfies the conclusion of the Mean Value Theorem for Derivatives for the f...

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Q: Consider a wizard hat (infinitely tall) obtained by the solid of revolution obtained by rotating thi...

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Q: tan'3xsec"X

A: LetI=∫tan33xsec43xdxI=∫tan23x.tan(3x).sec43xdxWe know that,1+tan2x=sec2x,I=∫-1+sec23xtan3xsec3x.sec3...

Q: - 10 тх — 12 x2 + 3x – 2 if x > if x < Let f(x) = -10 If f(x) is a function which is continuous ever...

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Q: Find an exponential function of the form f(x) = ba* that has the given y-intercept and passes throug...

A: Find your answer below 

Q: 3. The following statements indicates the use of descriptive statistics EXCEPT A. Last school year, ...

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Q: dx Evaluate: a) - x² +4x + 20

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Q: 7x Use – ∞ and co when appropriate. Find the limits in a), b), and c) below for the function f(x) = ...

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Q: Find the indicated derivative and simplify. 21 x f'(x) for f(x) = x2 - 2

A: solution:-f(x)=21x3x2-2using Quotient Rule;ddxg(x)h(x)=h(x)g'(x)-g(x)h'(x)h(x)2and power rule;ddxxn=...

Q: A tank contains 4,000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped...

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Q: X Cut 義Find 12.5 A A Aa - 令=,=,,三 T AaBbCcDc AaBbCcDc AaBbC AaBbCcC AABI AaBbccC AaBbCcD AaBbCcD Ari...

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