Calculus question and answers for December 26, 2023
- Q y 1 t 2 4 t 2 4 2 C The answer above is NOT correct 1 point Find the general solution to Enter your answer as y Use C...
- Q A company manufactures and sells x cellphones per week The weekly price demand and cost equations are given below p 400 0 1x and C x 20 000 140x A...
- Q Use the substitution t tan 2 6 sin 2x 2 cos x dx to transform the integrand into a rational function of t and then evaluate the integral
- Q Express the given quantity as a function f x of one variable x the perimeter of a rectangle of length x and width y that has an area of 187...
- Q A fence is to be built to enclose a rectangular area of 1800 square feet The fence along three sides is to be made of material that costs 5 per...
- Q Apply Green s Theorem to evaluate the integral 8y x C x dx y 2x dy C The circle x 8 y 7 7 8y C x dx y 2x...
- Q A parcel delivery service will deliver a package only if the length plus girth distance around does not exceed 120 inches A Find the dimensions of a rectangular box with...
- Q Find the potential function f for the field F 6x i 7y j 9z k 2012 TRONISAT A general expression for the infinitely many potential functions is f x y...
- Q Of all numbers whose difference is 2 find the two that have the minimum product What are the two numbers Use a comma to separate answers as needed
- Q A car rental agency rents 440 cars per day at a rate of 40 per day For each 1 increase in rate 10 fewer cars are rented At what rat...
- Q A company manufactures and sells x television sets per month The monthly cost and price demand equations are C x 74 000 70x and p x 300 0 x 9000...
- Q Find the dimensions of a rectangle with a perimeter of 184 feet that has the maximum area The side lengths are feet Use a comma to separate answers as needed
- Q 3x 6 Sketch the following function f x BY HAND Determine the following 2 x x 6 characteristics and communicate your process Make sure to communicate these calculations without having...
- Q Show that the value of the integral below does not depend on the path taken from A to B B dx A dx 2y dy 2xz dz Let M z...
- Q Find a potential function for F 3 4x 2 8x F i y y j x y y 0 A potential function for F is f x y z
- Q Find the k component of curl F for the following vector field on the plane F 7y sin x i x sin 3y j curl F k www
- Q Given f x x 2x A Find f x B Find the slopes of the lines tangent to the graph off at x 3 0 and 2 C Graph f...
- Q Step 4 Since the square root and the square cancel each other we have 3 L e e d dt Submit 11 3 1 Skin you cannot come back
- Q Now Step 3 dx dt dy et e t 2 te Submit Skip you cannot come back 2t e t 2 e 2t The simplified expression e2t 2 e 2t...
- Q So dx dt Step 2 Now dx dt 4 dy dt et e t and et e 2 2 X
- Q Find the exact length of the curve x et e t Step 1 For a curve given by parametric equations x f t and y g t arc length is...
- Q in a room where the temperature is 20 C a When do you think the coffee cools most quickly What happens to the rate of cooling as time goes by...
- Q 1 Sketch a graph of the function Then sketch a graph of the inverse of each function Label each graph with its equation Lastly complete the table K a f...
- Q a For what values of r does the function y ex satisfy the differential equation 7y 34y 5y 0 Enter your answers as a comma separated list r b If...
- Q Evaluate f x y ds x y ds where C is the straight line segment x 4t y 8 4t z 0 from 0 8 0 to 8 0 0...
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