Q: .Find the instantaneous rate of change to the function f(x)= sin.x tan.x at x=- ? 4 а. 0 b. с. л d.…
A:
Q: Find the rate of change of the fucntion f(t)=4t^2-5t-3,[x,x+h
A:
Q: Let B = 5 T as in Example 3. Estimate the instantaneous rate of change of B with respect to T when…
A:
Q: A rectangle has width w inches and height h inches, where the width is twice the height. Both w and…
A: It is given that, a rectangle has width w inches and height h inches, where the width is twice the…
Q: What is the closest value to the instantaneous rate of change of the following function at x = T?…
A: Ans: Given fx=2 cosx-π2 at x=π ⇒fx=2cosx coπ2+ sinπ2 ⇒fx=2cosx 0+sinx1…
Q: Let r be the reciprocal of a number n. /hat is the instantaneous rate of change of r with respect to…
A: Let r be the reciprocal of number n ⇒r=1nNow,instantaneous rate of change of r with respect to n…
Q: What is the rate of change of f (t) at t = 7.5?
A: The rate of change is calculated using differentiation. The derivative of f(t) at t=7.5 gives the…
Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 4x and dx…
A:
Q: Find the slope and the rate of change of the slope with respect to x when x = 2 cos (3t) - 3 sin(2t)…
A:
Q: Find maximum rate of change of f at the given point. f(x,y)=sin(xy), (1,0)
A:
Q: The average rate of change of f(x) = sin(x) with respect to x as a changes from 0.5 to 1 is O 1 0 2…
A:
Q: Two students are calculating the instantaneous rate of change of y= sin(x) at x = Student A claims…
A:
Q: (a) Find the derivative of fix. y. 2) = x-xy-z at P1, 1,0) in the direction of v = 2i- 3j + 6k. (b)…
A: The directional derivative of a function f(x,y,z) at the point (x,y,z) in the direction of vector v…
Q: 5. Find the instantaneous rate of change of the value function V in terms of t and N(t).
A: To find the instantaneous rate of change of the value function V in terms of N we will find dVdN…
Q: Find the average rate of change of f from 0 to π /6 . f(x)=sec(2x)
A: To find the average rate of change of function,from 0 to π6. f(x)=sec(2x) Solution: We know, Average…
Q: 'ind the average rate of change of h(t) = 3 c on t-3 [1,1+ h]
A: Topic:- calculus
Q: find the rate of change dy/dx where x=x0 y=x(1-x); x0= -1
A: We have to find rate of change of y=x(1-x)at x=x0where, x0=-1
Q: Let z=sin (y 2- 4x). Find the rate of change of z with respect to y at the point (2, 1) with x held…
A:
Q: For the function y = 4x2: (a) Find the average rate of change of y with respect to a over the…
A:
Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0
A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.
Q: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…
A:
Q: Estimate the instantaneous rate of change of P(t)=3t^2− 6 at the point: t =
A:
Q: For a certain animal, the surface area S of the body is related to the body's weight W according to…
A: The surface area S of the body related to the body's weight W is given by S=kW2/3…
Q: 2. Find the instantaneous rate of change for y= arctan- at x = 3. 2 12 A. 85 2 В. 13 3n D. 4 С. О
A:
Q: dx Assume that an airplane is flying toward you at a constant height, h miles, and at a speed dt h…
A: Here we need to apply basic derivative formulas, ddxtanx=sec2x secx=hypotenuseadjacent…
Q: 2. The height of the tides at a certain spot in Nova Scotia can be found by the equation h(t) =…
A:
Q: Find the rate of change of y with respect to x when x=3000 and y=100
A: Given data: The given expression of the function is 180x0.75y0.25=230,734. The given value of…
Q: What is the instantaneous rate of change for α=arctan(2-r/r) at r=0
A:
Q: Find the maximum rate of change of f(s,t)= te^{st} at the point (0,5).
A: In this question we have to find the maximum rate of change.
Q: 1 What is the instantaneous rate of change of Y at x = 2? O -1 none of these -1 1 3 4
A: Given : y = 1/x
Q: The rate of change of y is proportional to y. When t = 0, y = 2, and when t = 2, y = 4. What is the…
A: Given that rate of change of y is proportional to y that is, dydt=ky ...(1)
Q: Consider a function y = 1 / x a) Find the rate of instantaneous change of y with respect to x at x…
A: a) y = 1 / x dy / dx = - 1 / x2
Q: Find the rate of change of y with respect to x at the indicated value of x. y = csc(x) – 4 cos(x); X…
A: The given function is y = cosecx - 4cosx
Q: 2-t-1 Find the average rate of change of z(t) = on the interval between t= 1 and t=2. 2 -t+3
A: The average rate of change of z(t) in the interval t=1 and t=2 is given by:
Q: Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2 cos (3t)-3…
A: This question can be solved using the concept of first and second order derivatives at t=90°
Q: What is the instantaneous rate of change of the secant function at ? O 2√3 02 0²/0 113 O 03/13 28
A: Solution
Q: The average rate of change of y with respect to x over the interval [0, 3] for the function y = 3x…
A: The function y=3x+2 over the interval 0,3
Q: Find the average rate of change of g(r) = 5x - 1 from z - 2 to z = 1 =D1 =
A: Since you have asked multiple questions in a single request so we will be answering only first…
Q: Let z = 4x + 4y. Then: The rate of change in z at (3, 1) as we change a but hold y fixed is and The…
A: Derivative z partially and then put the given point.
Q: Because of heavy rainfall, the water level in a reservoir is rising at a rate of g(t) feet per hour,…
A: Given problem :- Because of heavy rainfall, the water level in a reservoir is rising at a rate of…
Q: Consider the function y=x/x-1 , where the unit for x is hours and the unit for y is km. a)…
A: Use formula to calculate
Q: 8x Find the average rate of change of f from 0 to 3 f(x) = sin
A:
Q: -4 to x = 1 Find the average rate of change of g(x) = 3x° - 1 from z =
A: Average is (g(1) -g(-4)) /5
Q: Find the rate of change of x with respect to p. p= 9/0.000004x2 + 0.05x + 8, x ≥ 0 dx dp
A: We need to find first derivative of given equation with respect to p
Q: Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vec…
A:
Q: 2q 4 If p= qe Find the rate of change of p with respect to q when q-
A: we have to solve given problem:
Q: Find the rate of change of y with respect to x at the indicated value of x. y = csc(x) – 4 cos(x); X…
A: Given that y=csc (x) - 4 cos(x). ; x=π6 let’s find y1
Q: It follows from Poiseuille's Law that blood flowing through certain arteries will encounter a…
A: Given R(x) = 0.25(1 + x)4
Q: Find the rate of change of x with respect to p. p= 9/ 0.000004x2 + 0.05x + 8 , x ≥ 0
A:
Q: (a) A cougar was found dead in the woods by a ranger, which he assumed was shot by a poacher. The…
A:
Step by step
Solved in 2 steps with 2 images