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Q: (a) Find the domain and range of the following functions: (i) f(x,y) = e*+ sin(x² +y²) (ii) 1 f(x,…

A: A scalar function is a rule that is used to associate a number, or quantity with a particular point…

Q: PI- Find the domain and range of the Pollowing functions fcx) = 1-V b- fx)= 5x+10 a- 2. X+3 c- G(t)2…

A: 1 a f(x)=1-x We know that domain of the function is the set of input values for which the function…

Q: df +3, z > 0.5, find dy For the function y f(r) = 2² - a (/ ')'(4) = Preview

A: Consider the function, Calculate the inverse of the function Solve for x by using the quadratic…

Q: a) Give the values: 11 |y=f(x): | 150 | 392 | 1452 | 2366 | 5202 Evaluate f(g) using Lagrange's…

A: Given data: x0=5, y0=150x1=7, y1=392x2=11, y2=1452x3=13, y3=2366x4=17, y4=5202 By Lagrange's…

Q: Refer to the following figure, which displays a right circular cone along with the formulas for the…

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Q: Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x. %3D 6. 10…

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Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

A: This is a problem related to integration. Based on the concept and formula we will answer the…

Q: A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius…

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Q: Match graphs (A) and (B) in Figure with the functions: (i) f(x, y) = –x + y2 (ii) g(x, y) = x + y²…

A: Find the graph of the function is (i) f(x,y)=-x+y2 (ii)f(x,y)=x+y2

Q: (c) Find the slope of the curve x²y + xy? = 6 at the point (2, 1).

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Q: f(x) = x³ reflect across the x-axis %3D translate right 1 unit

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Q: dA Find the general form of the function that satisfies = - 7A. dt A(t) =| %3D

A: Given query is to find the general solution of the differential equation.

Q: . A spherical balloon with radius inches has volume  V(r)=(4/3 )pie r^3. Find a function that…

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Q: f(x) = |x|;  reflect in the x-axis, shift 7 units to the right, and shift upward 5 units

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Q: Where is the function differentiable ? |x|=?|x+h|=? . x<0

A: to find differentiability of function x

Q: Write the function in the form y = f(u) and u = g(x). Then find dy as a function of x. - 12x y = e

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Q: M(x,y) dx + (xe*y – 4xy + 2) dy = 0

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Q: A ball is thrown in the air and follows the displacement function s(t) = -t² + 2t + 15 S where time…

A: A ball is thrown in the air and follows the displacement functions(t)=-t2+2t+15where t is in seconds…

Q: . The x- intercept of the function f(x) = 6x² + 5x – 6 įs : Select one: o. (글이 (금이 (금,이(금) O b. 0,…

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Q: f it is known that f(x)dx = 10, and f(x)dx = 5, find the value of f(x)dx. %3D

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Q: 2. Suppose f(x+3)%3D f(xr), what is the period of the function f ? (A) 4 (B) 3 (C) 2 (D) 1

A: topic - functions

Q: find the specific function values. ƒ(x, y, z) = sqrt(49 - x2 - y2 - z2) a. ƒ(0, 0, 0) b. ƒ(-1, 2, 3)

A: a) Plug x=0, y=0 and z=0 in the given function and simplify. Answer(a): 7

Q: a) Find f'(e), where f(x) = am. %3D

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Q: п! F{t"e¬atu(t)} = (а + io)nt1

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Q: Find the slope in the x-direction at the point P(0, 2, f(0, 2)) on the graph of f when f (x, y) 3(y?…

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Q: ind the domain and range of the function Then draw it y = Vx - 1

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Q: 2. (x? + 2ху — 4у?)dx — (x? — 8ху — 4у?)dy %3D0 -

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Q: %3D 42. Find f(x) dx for each graph of y = f(x). (a) y. (b) y 2. 1. 3 aronh of flr) = 2x + 3 and

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Q: f(x)=- is stretched toward the y-axis by a factor of , translated to the left 2 unit, then reflected…

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Q: Use the exponential definitions of hyperbolic functions to find the values of A and B if: 5e' -4e =…

A: We have sinh(t) =et-e-t2cosh(t) =et+e-t2

Q: The function (shown below) has a value between t = a and t = b only. A a b.

A: Observe the straight line between a and b.

Q: c. Use the graph trom part a to estimate the period in which the concentration of the alcohol in the…

A: Given polynomial function, At=0.003493t3-0.03748t2+0.1094t+0.006

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Q: Q4:Find the relative extrema of f (x) I+3 I- 2

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Q: c) Find the inflection points. х, у) . (smaller x-value) %3D

A: Given that: The equation of the function if f (x) = 3 sin (x) + 3 cos (x) , 0 ≤x≤2π . The critical…

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Q: The function ƒ satisfies the equation. Find ƒ and check your answer by substitution.

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A: Given that: g(x)=3x+1f(x)=4x+3

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A: Given:        q=t1+t2,C        q=t·1+t2-1 The derivative of this expression is      dqdt=ddtt·1+t2-1…

Q: (c) Solve for t in the formula above to obtain a formula expressing t as a function of V.

A: Given V = 12.5 - 1.7 t V - 12.5 = -1.7 t

Q: The function D(p) gives the number of items that will be demanded when the price is p. The…

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Q: * y = x/3 The function has a vertical tar v Select

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Q: fand sketch it, for f(x, y) = x²

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Q: Shirtey has already jogged 5 milcs she continues to jog at an averge rate Of 35 Miles Per hour this…

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Q: W = f9=l (f'g+ fg'ln f) (x) = n (where n is a constant), show that the form

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.