Which of the following functions z = f(x, y) has this cross-section graph when y is fixed? z = z = X -4 -3 -2 -1 0 1 2 3 4 z = N Z = A f(x, y) = √√√√x + y f(x, y) = √√y-x f(x, y) = y- f(x, y) = √√/y² X

Q: Find the distance between the two values of x at which the function is discontinuous. x²- 3x + 2 2.…

A:

Q: (b) Find f-¹(y) for f(x) = √²-1.

A:

Q: Use the graph of y = f(x) to graph the given function g: g(x) = f(x - 1) + 2

A: Given The draw graph g(x)= f(x-1)  +2  by using graph  f(x) Coordinate of graph f(x) is (-4,0)…

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x + 1) + 2

A:

Q: Find the domain and range of the function g(x, y) = x√y

A: Given , gx,y=xyNow , x∈R , y>0 i.e y∈R+∴ Domain .    x,y/x∈R , y∈R+…

Q: 3 Find and sketch the graph of the domain of f (x, y)= 14x? +16у? - 64

A:

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(-x)

A:

Q: a) Find the local extreme values of the function f(x,y) = 2xy – x² – 2y2 +3x + 4. %3D

A:

Q: Find the value of C if f ′ (x) = 2x2 and f (4) = 5

A: Given,    f ′ (x) = 2x2 and f (4) = 5

Q: Use the given graph of y = f(x) to graph the function g : g(x) = 1/2f(2x)

A: Using the given graph of y=f(x) : We are to graph the function g: gx=12f(2x)

Q: Use the graph of y = f(x) to graph the given function g: g(x) = 2f(x + 2) - 1

A: The graph of y = f(x) is  g(x) = 2f(x + 2) - 1

Q: Q1: For v=2x²y + x2y-y³, check the function for Harmonic and then find f(z).

A:

Q: Find functions f and g so that fo g=H. H(x)=√x² +12 Choose the correct pair of functions. O A. f(x)…

A: We have given a composite function  f○g=H Hx=x2+12 Checking pairs (f○g)x=fgx Afx=x , gx=x2+12…

Q: Find and sketch the domain for the function

A:

Q: Consider the function f(x) = 12x5 + 15x¹ — 240x³ + 5. f(x) has inflection points at (reading from…

A:

Q: Find and sketch the domain for the function. f(x,y) = √(x² − 4) (y² - 9)

A:

Q: Find and sketch the domain of the following functions (a) f(x, y) = cosh-¹ (3- x² - y²) (b) f(x, y)…

A:

Q: Draw a sketch of the graph of f(x) = 2√x + 1 − 1. Explain the trans- formations of the graph of…

A: Explaination of the answer is as follows

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x) + 1

A: g(x) = f(x) + 1 Using the graph of y we need to draw the graph of g(x).

Q: 2x + Vx. 4. Determine a function f (x) knowing that f"(x) = 16e¬

A:

Q: For each point on the graph of y= f(x), is a corresponding point on the graph of y=√f(x) exists,…

A:

Q: Find the domain of f(x, y) = √√x - 4 + ln(y³ + x).

A: Note-1 We should know that root function has always domain positive real numbers. Note-2 ln function…

Q: Determine the domain for r(t) = √4-ti + √tj-k

A:

Q: 4. Consider the function f(x)=√x-1. Find f-¹(x) and sketch the graphs of y = f(x) and y = f(x) on…

A: Given that the function fx=x-1. Find the inverse function f-1x. Sketch the graph of y=fx and y=f-1x…

Q: Find the z-coordinate(s) of the inflexion point(s) of the graph of f(z) = 21-3z² + z – 1. %3D

A: Explanation: Given that: fx=2x4-3x2+x-1 Concept: dxndx=nxn-1 Step 1. Take the first derivative  Step…

Q: f(x) = x° + 2x² - 7 6.2

A: The given function, f(x)=x6+2x2-7

Q: Let a, ßeR ,such that 2(a -1)+ 3(a – 1)+ 6a=0 and 2(1-B)+ 3(1-B)-6B + 12=0 and a + B, also graph of…

A:

Q: Assume the point (2,7) is on the graph of y=f(x). Determine the value of n in the following…

A: If a point (a, b)  is on the graph of then

Q: Find The derivative fog : 3 Ⓒ y = (3x -x ²+1) " 0 = 3r+2 2r+3 Ⓒ ² = √√√₁+√x (3

A: According to guidelines we only need to solve the first three subpart of question no 1. Rest of the…