Basic Math question and answers for August 26, 2024
- Q If f(x) = 2x3/3 - 3x/2 + 4x, what is f'(x)?f'(x) = 2x - 3x + 4xf'(x) = 2x - 3x + 4f'(x) = -2x + 3x - 4f'(x) =...
- Q Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)h(x) = ex - 4...
- Q Find all values of c that satisfy the mean value theorem for integrals on the following intervalf(x)=?x+9 . [0.4]
- Q On the left-hand side, for the first term 9x, we have the following.d/dx[9x]=_Now, note that the second term x2y is a product, so we must use the product rule. We...
- Q The dimensions x and y of an object are related to its volume V by the formula V = 8xy.a. How is dV/dt related to dy/dt if x is constant?b....
- Q Given f(x)= x-12x+5, find all local maxima and local minima.B) local max:21, local min: - 11A) local max: - 11, local min: - 21D) local max: 11, local min:21C) local...
- Q Find T, N, and K for the plane curves in Exercises 1-4.1. r(t) = ti + (In cos t)j,-?/2 < t< ?/22. r(t) = (In sect)i + tj,-?/2 < t<...
- Q Jenae tosses a quarter from the shore into the St. Johns River. The distance h(t), in feet, from which the quarter is above the water is modeled by the expression...
- Q Which step is necessary in verifying that InB + 3 = -3t is a solution todB/dt=-3B?a)e^InB + e^3 = e^-3tb)1/B (dB/dt)=-3c) edB = -3dtd)?(InB+3)dB = ?-3t dt
- Q If f(x) = (x-2)/(x+3) where is f not differentiable?X =
- Q A ball is thrown into the air from a tree house and eventually lands on the ground. The equation below shows the distance in feet the ball is from the...
- Q Let f be a twice-differentiable function with derivative given by f'(x) = 4x - 24x.(A) Find the x-coordinate of any possible critical points of f. Show your work.(B) Find the...
- Q For the differential equation dy/dx=-( e^-x)-3x^2 A): Find a general solution. Show all your work. B): Verify the solution. Show all your work.
- Q To measure the physical properties of cells, a piezoelectric probe is used. The force applied by the probe is compared against how much the cell deforms. If F is the...
- Q If the derivative f'(x) is negative, decreasing, concave upThen the function f(x) is (not all info may be used):increasing, concave updecreasing, concave updecreasing, concave downincreasing, concave down
- Q Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville...
- Q An orchard owner has shown that if 25 apple trees are planted in one acre, each treeyields an average of 500 apples. The yield decreases by 10 apples per tree...
- Q The revenue (in dollars) from the sale of x car seats for infants is given by the following function.R(x)=56x -0.020x 0?x?2800(A) Find the average change in revenue if production...
- Q For the following exercises, find the quantities for the given equation.1. Find dy/dt at x = 1 and y = x + 3 if dx/dt = 42. Find dx/dt x...
- Q Given that 26x? + 5x? y + y^8dy/dxNow find an equation of the line tangent to the graph of 26x9 + 5x9 y + y = 32 at (1, 1):
- Q Find f'(x) and simplify.f(x)= x/x+2Which of the following shows the correct application of the quotient rule?A. (x+2)(1)-(x)(1)/ [x+2]B. (x)(1)-(x+2)(1)/[x+2]C. (x)(1)-(x+2)(1)/[x]D. (x+2)(1)-(x)(1)/[x]
- Q Differentiate the following function.f(x)=3+2x+3 ex
- Q Find the difference quotient f(x+h)-f(x)/h where h?0, for the function below.f(x)=5x-6x-7Simplify your answer as much as possible.
- Q A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 185 pounds with a margin of error...
- Q You need to construct a rectangular box with a volume of a volume of 800 cm whose base length is three times the base width. The material used to build...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!