Sketch the graph of y = v4-x², - 2

Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 1, y=2, and…

A:

Q: The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of…

A: Given Data: The travelled duration is: Δt=4 s The table is given the figure represent the velocity…

Q: Find the average rate of change of the given function over the interval [ a , a + h ]  for h = 1 ,…

A: Find the average rate of change of the given function over the interval [ a , a + h ]  for h = 1 ,…

Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x= 1, y…

A:

Q: 9) Where is the function ht) = (t+ 5) differentiable?

A: Given         h(t)= t+51/3

Q: Find the average velocity of the function over the given interval. g(t) = 3+ tan t, |-14 %3D

A: Average value of any function is ratio of  difference in outputs and the difference between inputs.

Q: 0 to x = 5 Determine the average rate of change of the function y = sinx from x =

A:

Q: Describe the change in accuracy of dz as an approximation of ∆z as ∆x and ∆y increase.

A: Given , z=fx,yWe do dz using the partial derivates zx & zy .So , dz=zx.dx & zy.dywhere zx…

Q: Find dy/dt when x=4 and dx/dt=-3, given that x^3+y^3=72

A: First obtain the derivative of the given equation as follows.

Q: 3. If f (t) = -t + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A: We are allow to solve only one question at a time  Thank you for your question

Q: |If f(x) = a4 is the parent cubic function, prove that the AVERAGE rate of change of f(x) over the…

A:

Q: Let Y= x² +3 2 d. Find the average rate of Change of Y'o 79 over the following with respect to x…

A: Given query is to find the average rate of change and instantaneous rate of change for  y = x2+3

Q: The value of dy/dx of any function y = f(x) is defined as the A. maximum point B. inflection point…

A: The value of dy/dx of any function y=f(x) is defined as the slope of tangent line Hence option D is…

Q: Compute the average rate of change of f (t) = 40t – 16t over the indicated intervals. %3D -

A:

Q: Given that x and y are functions of time, find the indicated rate of change. dx when x 6, y = 3, and…

A:

Q: For function f (x, y) y? x²+1 Find the maximum rate of change of f at the point (1, 2)

A:

Q: Match the derivatives with a verbal description: (a) dx/dt(b) dy/dt(c) dy/dx (i) Slope of the…

A:

Q: For the function y=JHx +1 + Find: a) The equation of the tang ent liné at X = 2 b) The equation of…

A: Given,            y=4x+1+2xTo find : a The equation of the tangent line at x=2.                b The…

Q: 1. For the function f (t) = t² – 4 over the interval [-1, 3], find a. the net change b. the average…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: For the graph y = f(x) = 3x² – x + 2 (i) (ii) Q3. %| - Find the average rate of change of y w.r.t x…

A:

Q: Given that x and y are functions of time, find the indicated rate of change. dx Find when x = 4, y =…

A:

Q: he maximum rate of change of f at the given point and the direction in which it occurs. f(x, v) =…

A:

Q: Cet f(x) =. 1 %3D (a) Find the slope of the tangent line to y = f(x) at ¤ = 2. Fad At what rate are…

A: Topic:- application of derivatives

Q: Use the Chain Rule to find the derivative of w = r2 + ywith respect to talong the path I = cost +…

A:

Q: 17. For f(x) = x*, the instantaneous rate of change is known to be –32 at x = -2. Find the equation…

A: the given function is f(x) = x4 rate of change dydx=-32,          at x =-2

Q: If a rock is thrown upward on the planet Mathemagicland with a velocity of 12 m/s, its height in…

A: Given: velocity=12m/sy=12t-1.86t2

Q: If a baseball is thrown upward with a velocity of 45 m/s, its height in meters t seconds later is…

A: We know that, Average velocity          = change in position/time elapsed.

Q: ind the average rate of change between the given points f(t)=t^2 -2t between t=2 and t=5

A: f(t)=t2-2tf(2)=4-4=0f(5)=25-10=15average rate of change  =f(5)-f(x)5-2  =15-03  =5

Q: (c) At what time 1, 0SIS 15, is the snail's instantaneous velocity equal to its average velocity…

A:

Q: The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of…

A: Given

Q: (b) If a rock is thrown upwared on the planet mars with a velocity of 12ms, its height in meters t…

A: The height of the rock is given by: y(t)=12t-1.92t2 To find the average velocity over the interval…

Q: Flnd the maximum rate of change of f (x.y) =e*²+e*+2y at P (2,1) 29 e4 V 29 e 16 O 7e4 O Viet

A: gradient of function fx, y=ex2+ex+2y, at 2, 1

Q: Determine the average rate of change of the function y= sin x from x= 0 to x=. O a) o O b) 2 O c) 1

A: The average rate of change of a function y=f(x) from x=a to x=b is (f(b) -f(a)) /(b-a)  For the…

Q: What is the slope of the normal ine to the curve y=In(xª+1) at x=1, -2 -1/2 1/2 D) 2

A: Product of slope of the tangent and normal line is -1.

Q: Find the average rate of change of the function over the given interval. f(t) = 4t2 – 1, [1, 1.1]

A: Given data: The expression for the function is f(t)=4t2-1. The given limit of t is [a, b]=[1, 1.1].…

Q: What is (V | and find the relative minimum dx point as indicated by the black dot on the graph at…

A: Here we have ;  y=xx ..................(1) taking log both of sides

Q: The value of dy ´ of any function y=f(x) is defined as the dx A inflection point B slope of tangent…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: at is the maximum rate of change of f (x, y,z) at P?

A:

Q: Determine the rate of chenge in the ar direction of the scaler function U- sin e and calealate it at…

A:

Q: The tangent line to the graph of y = f(x) at the point (8, 9) has the equation y = 2x – 7. %3D (a)…

A:

Q: Given the function g(x) = the function over the interval-11SA-1. + 10x + 18, determine the average…

A:

Q: Given that x and y are functions of time, find the indicated rate of change. iON dx dy = 2, given…

A: Consider the given equation

Q: Determine the average rate of change of the function y= sinx from x= 0 to x=. a) 0 b) 1 O d) 를

A: The average rate of change of a function, g(x) , over the interval, c,d is calculated using the…

Q: Find the average velocity of an object for the interval 1<t< 3, if its position is given by s = = t²…

A: Differentiate the function to find the velocity function. dsdt=2t+5

Q: Estimate the instantaneous rate of change ot P(t) = 3t?+4 at the point t= -2,

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,…

Q: Q. Find the rate of change of z = In Vx² + y² at (3, 4, In 5), (a) In the direction of the positive…

A:

Q: ind the derivative of the function f(x, y, z) = i +j - k.

A:

Q: suppose s(t) is the position of an object moving along a line at time t&gt;0. What is the average…

A: Given: The position of a moving object moving along a line is s(t) for time, t&gt;0.

Q: Find the length of the curve y = ln x from x = 1 to x = e.

A: Given:Find the length of the curve y = ln x from x = 1 to x = e.