.Find the instantaneous rate of change to the function f(x)= sin.x tan.x at x=- ? 4 а. 0 b. с. л d. 2

Q: Use differentials to find the value of  GIve anser to two decimal places.

A:

Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 2 inch(es) per…

A:

Q: At what rate (in in3>s) is soda being sucked out of a cylindrical glass that is 6 in tall and has…

A:

Q: Suppose L is the tangent line of y 3 tan a 2 csc x at x = Where does L intersect the x-axis? 40 O At…

A: topic - equation of tangent line

Q: A spherical snowball melts at a rate of 16 in / sec. when the radius is 2 in, then the radius of the…

A: The formula for  volume of sphere is: V=43πr3 Given that dVdt=16 in3/secr=2

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: Calculate the average rate of change of each of the following functions over the interval…

A:

Q: 21: Fimd the rate of change of volume at t= 2 Sec if ri= 2t-1 hi=3-t r2= 3++1 hz=2m

A: we are given that  r1 = 2t-1 h1= 3t2 -t r2= 3t +1 h2 = 4t3-1 We know that the volume of a cylinder…

Q: The radius, r, of a circle is decreasing at a rate of 4 cm/sec. Find the rate of change of the area,…

A:

Q: 3T? What is the average rate of change of the following function between x =T and f(2) = 2 sin (z- )…

A:

Q: Two students are calculating the instantaneous rate of change of y= sin(x) at x = Student A claims…

A:

Q: A balloon's volume is increasing at 15 ft /sec at the same moment as its surface area is increasing…

A:

Q: The length of a rectangle is increasing at a rate of 12 in./s, while its width is decreasing at 2…

A:

Q: A triangle with constant base b and height h is changing with time where h(t) = 2t – 3. What is the…

A:

Q: A triangle with constant base b and height h is changing with time where h(t) = 3t + 1. What is the…

A:

Q: 10. Find the slope of the tangent line for the following function at indicated point: 1 f(t) at t =…

A:

Q: The length l of a rectan-gle is decreasing at the rate of 2 cm/sec while the width w is increasing…

A: (a)Given:

Q: O Find the slope of the line to the curve tangent 58x+34 Lexy = 1| åt the int (2,3) 8メtろ4 po %3D

A:

Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: A hot air balloon rising vertically is tracked by an observer located 5 km from the lift-off point.…

A: Given: x=5 km θ=π5 raddθdt=0.3 rad/min The person and the hot air balloon form a right triangle,…

Q: The area of a square with sides of length s is given by A = s². Find the rate of change of the area…

A:

Q: 1. The Average Rate of Change ("ARC") to. Given that f(x) = -2x² +4, what is the ARC: 1) From 0 to 2…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: Enter the exact answers. (a) Find the average rate of change of y = - with respect to x over the…

A: Given: y=1x2   ,5,6

Q: Enter the exact answers. (a) Find the average rate of change of y = with respect to x over the…

A:

Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 3 inch(es) per…

A: drdt=-3 inches per hour When r is 4, drdt=-3 inhr Now consider the surface area of a sphere, S=4πr2…

Q: 1.) The slope of the tangent line to the wve y?= 5+-1 at PCi,e) 2.) Find the First denivative of…

A: Using derivatives.

Q: During a certain 12-hour period the temperature at time t (measured in hours from the start of the…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: The volume of a cube with sides of lengths is given by=s. Find the rate of change of volume with…

A:

Q: ce of a circle is increasing at a rate of 2 cm/s. rea increasing when r= 6 cm?

A: We have to choose the correct answer from the given options according to the given information

Q: The volume of a cube with sides of length s is given by V = s3. Find the rate of change of volume…

A:

Q: hen the distance of the plane from at the rate of 8,000 km/hr. At w

A: Given: Perpendicular distance between station and plane is 5,000 km. To find rate of distance of…

Q: A particle moving along a straight line has a velocity of v(t) = t² e-t feet per second after t sec.…

A: Given: A particle moving along a straight line has a velocity of v(t)=t2e-t feet per second after t…

Q: Which of these would be an appropriate unit to describe the rate at which the temperature changes as…

A:

Q: dV If the volume of the cube increases at the rate of 15 m² / sec, then the value of is dt

A:

Q: Suppose the area A of a particular rectangle increases at a rate of 2 cm^2/sec and the width w of…

A:

Q: In the Newton's Law of Cooling, at small differences of temperatures between the body and the…

A: Recall:  The rate of loss of heat is directly proportional to the difference in the temperatures…

Q: The area A(t) of a circular shape is growing at a constant rate. If the area increases from 97 to…

A:

Q: 18. If the radius of the circle increases at the rate of 0.01 cm per second, find the rate of change…

A: Topic:- Application of Derivative  Correct option = a

Q: For many species of fish, the allometric relationship between the weight W and the length L is…

A: Here the given that, the allometric relationship between the weight W and the length L is…

Q: Which of the following is the slope of the tangent line to f(x) = cos(ax), a E R at x = T? 1 а 1 а

A: Given equation is f(x)=cos(ax) at x=π Find the slope of the tangent line

Q: Assume a circle is expanding with time where r=t+ 3. What is the formula for the rate of change of…

A: Given  r=t+3

Q: O H.W 1: Two cars leave from the same position at the same time. One travels due North at 30 mph,…

A: To find the rate at which distance between the two cars changing after 1 hour

Q: The area of a square with sides of length s is given by A = s2. Find the rate of change of the area…

A:

Q: The volume V of a right circular cone of radius r and height h is given by V = Tr²h. Find a formula…

A: To find the instantaneous rate of change:

Q: C. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4 + h. Note: your answer…

A:

Q: 13. (a) Find the average rate of change of the area of a circle with respect to its radius r as r…

A: (a) The average rate of a function f between the points a and b is given by: The area of a circle…

Q: H.W Ex.(8) Show that the functions f(x) = sin' () and ga)=2 tanv メ+) have the Same derivative.

A:

Q: Assume a spring is oscillating and the length of the spring can be described as sin (t) L (t)=- What…

A: