Q1:a) Find the function? y = h(x) 2. 1.

Q: f(x, v) = a² + y² - 4zy.

A: We have given f(x,y)= x2 +y2 -4xy Now, for finding the critical point we have to find partial…

Q: Where is the function y=(x−5) 3 concave down?

A:

Q: Find b, if the function f(t) = t?.

A: This is a Fourier analysis question. Lets solve it.

Q: Find of the function x³ z2 – 5æyz = a? + y %3D

A:

Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

Q: Use the chain rule to find the derivative of f(x) = 4(5³ – 5æ")“ You do not need to expand out your…

A: The given function, f(x)=45x3-5x714

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

A:

Q: Q=- Find the Zero and its oider for the function fiz) = 1- Ki+Z+ ¢ ?

A:

Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: The function is x z = y² What is 8²% dy² 2/21/23

A: Let's find second partial derivative of given function.

Q: Sketch the curve of f 3x y = f(x) = r³ – 8

A: Given,  y = fx = 3xx3-8  We have to sketch the curve.

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

A:

Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

A:

Q: Use the position function s(t) = -16t2 + v0t + s0 to solve: A projectile is fired vertically upward…

A: The position vector is given as  s(t)=-16t2+v0t+s0 here v0=48 ft/sec s0 is the height at ground…

Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

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Q: 02.Find all the maxima value of f(x, y) = 49 – x2 - y?, on the line x +3y = 10 %3D

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Q: with the approphe Choose the correct function below. OA. O B. Oc. z=3-(2 -4)²• (2 -1)?

A:

Q: the height ( in feet) attained by a rocket t sec into flight is given by the function…

A:

Q: Use the EVT to find the maximum and minimum values of the function f(x, y) = e4a-5 yʻ on the disc x²…

A:

Q: What is the equation for g(x) ?

A: The answer is option (A)  g(x)=x+5

Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

A:

Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

A:

Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: At what point is the function in Exercise continuous?

A:

Q: the y intercept of a function f(x) is (0,b). What is the y-intercept of f(x) +k ?

A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: tis the value of f at the point (-1,1)? :When x=-1 and y=1, we have z=1.)

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Q: The range of the finction f (x, y) = lIn(-x²- " + 1) is (0: +00)

A:

Q: Find the inflection point(s) of the function f(x) 16x + 36x + 17x + 5. Show = 2r1 the work.

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: The height above ground of an object movingvertically is given bys = -16t2 + 96t + 112,with s in…

A: Given function for height - s = -16t2+96t+112Differentiating on both sides with respect to t - dsdt…

Q: e4z f (2) = 27 + 38 at how many points the function f (z) is discontinuous ?

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Q: If f(y) = V4 - 7y, find f'(y). Use exact values.

A:

Q: Q3- Find the functions f,g s.t fog= (x+1)5

A: Given composition function fog then find the function f and g

Q: Differentiate the function.  v = t2 - 1 / fourt root of t3

A: Given function is v=t2-1t34. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Q3: Find The Domain of the Function. Inx|- y = sin

A: Explanation of the solution is given below...

Q: F(x)= -x^2-4x+2 -Find x-intercepts(x,y) (smaller x value)?

A: Question is solved.

Q: Find Vf(x, y) for function f(x, y) = 5-- 50

A: We have to find the gradf or del f(x,y)

Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

A:

Q: Let f(y)=√y and g(y)=y+1 find? f(g(4))=?

A: Given: f(y)=√y and g(y)=y+1   To determine: f(g(4))

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

A:

Q: Let f(x) (2, 16). 5x3 52? 4. Find the equation of the line tangent to the graph of y = f(x) at the…

A:

Q: 2. Sketch the graph of the function (a) f(x, y) = Vr² + y? (b) f(x, y) = Vx² + y? – 1 %3D

A: Given a. fx,y=x2+y2b.fx,y=x2+y2-1

Q: Q4) f(x, y) = x'/3 – x/ay² is harmonic ? Does the function

A: our objective is to conclude result.

Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: The function f(x,y)=/26-2x²-y² is continuou at point (2,-3). .A False .B True

A: Givenfx,y=26-x2-y2

Q: (b) Use the result of part (a) to find the direction in which the function f(x, y) = x³y - x²y4…

A: Given: