Let N=f(H) give the number of days it takes a certain kind of insect to develop as a function of the temperature H (in C∘). At 35∘C—the maximum it can tolerate—the insect requires 10 full days to develop. An additional day is required for every 2∘C drop, and it cannot develop in temperatures below 5∘C.  The domain is? The range is?

Question


Let N=f(H) give the number of days it takes a certain kind of insect to develop as a function of the temperature H (in C∘). At 35∘C—the maximum it can tolerate—the insect requires 10 full days to develop. An additional day is required for every 2∘C drop, and it cannot develop in temperatures below 5∘C. 

The domain is?

The range is?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Functions

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find the area of the region enclosed by one loop of the curve. r=sin(8theta)

A: Draw the given curve as shown below.

Q: Can you help with this problem step by step?

A: Given function is

Q: I think this question (included in the image) is looking for a derivative of sorts

A: Please see the white board for the formulation.

Q: Can you help with this problem step by step?

A: Given function is

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: The given function is,

Q: see attachment

A: x-coordinate of the point is 

Q: Locate the critical points and identify which critical points are stationary points. f(x) = |sinx|

A: Given:

Q: Let f (x) = x1/3(8x + 12)2/3.   Find f ' (x) and the critical numbers for f.f ' (x) = (Ax+B)/3x^c(8x...

A: Use product rule to find the derivative. Use chain rule for (8x+12).

Q: 65. Two runners start a race at the same time and finish in a tie. Prove that at some time during th...

A: Click to see the answer

Q: see attachment

A: Part(a):Given:

Q: Use an Addition or Subtraction Formula to simplify the equation. sin(3θ) cos(θ) − cos(3θ) sin(θ) = 0...

A: Given expression;

Q: For arbitray values of K and b, when does the maximum growth rate occur (in terms of K and b)? P(t)=...

A: Compute first derivative as follows.

Q: The number of online buyers in Western Europe is expected to grow steadily in the coming years. The ...

A: (a) The percentage of online buyers in the year 2001 is evaluated as follows.

Q: Question 1 Parts 4, 5, and 6

A: Actual value of g(4.01)= 2.002498439Linear approximation= 2.00252.002498439 < 2.0025Actual value ...

Q: 7. According to a simplified economic model, the purchasing power of 1 dollar in the 2000t is equal ...

A: 2000+t=2020So, 20 years.

Q: Given function, find the inverse function Question Find the inverse of the following function. -8x2-...

A: The given function is

Q: Q1. Differentiate g(x) = (x +-)-2 OC

A: Given:

Q: The half-life of iodine-123 is about 13 hours. You begin with 52 grams of iodine-123.   (a) Write an...

A: Consider the amount of iodine(I) as a function of time(t).

Q: Find the minimum and maximum values of the function y = (4t2) 1/s critical points and endpoints. on ...

A: Considering the function y = (t -4t2)1/5 in the interval [-1,3].

Q: see attachment

A: The polar coordinates are,

Q: I need help with problem 17 in Section 3.9, page 249, of the the James Stewart Calculus Eighth Editi...

A: Given:Two cars start moving from the point. One car travel towards south at 60 mi/h and another trav...

Q: indefinite integral of x7/8 dx

A: Given integral is 

Q: Homework help: Question: A ball is thrown vertically upward from the ground at a velocity of 98 feet...

A: compute the velocity function by differentiating the given function.

Q: I need help working this problem. I get stuck at this point. I think my algebra is failing with the ...

A: Given function: m(t)=2/(t-1)

Q: let q be the quantity and p be the price in this question. find the instantaneous rate of change, of...

A: To determine the instantaneous rate of change of q with respect to p.

Q: Find the area of the region enclosed by one loop of the curve. 18. r^2 = 4cos2(theta)

A: Refer to the question we need to find the area of the region enclosed by one loop of the curve.

Q: Find the radian measures that correspond to the degree measures 260° and −155°. (I really just need ...

A: Click to see the answer

Q: indefinite integral of x3 dx

A: Click to see the answer

Q: see attachment

A: Given:

Q: HELP ME BEFORE 11:59pm

A: Given,

Q: Recall the arithmetic mean of two positive numbers a and b. Show that the value of c in the conclusi...

A: Consider the two positive number a and b and the function

Q: Can you help me on #1

A: Distribute secx use 1/secx=cos xThen simplify.

Q: Can you help me step by step?

A: Given: -

Q: Find an equation of the tangent line to the curve at the given point. y = 5ex cos(x),    (0, 5)

A: To find the equation of the tangent line at the point (0, 5) to the curve given below.

Q: A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it...

A: Let length of the sides are x and y. And the middle fence is parallel to x side.So total fence neede...

Q: Can you help with this problem step by step?

A: Given: -

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: Differentiate. f(x) = x2 sin(x)

A: To determine the derivative of the function.

Q: Can you help with this problem step by step?

A: Given function is

Q: Use the method of partial fraction decomposition to perform the required integration X+2 dx (x-4)2 x...

A: according to partial fraction. 

Q: see attachment

A: For a function of the form y=A sin(B(x+C))+D, amplitude is A, period is 2pi/B,phase shift is C.So we...