Calculus question and answers for March 27, 2024
- Q 40Write a 40 Write your answer as a fraction or a whole or
- Q A fence must be built to enclose a rectangular area of 5000 ft2 Fencing material costs 1 per foot for the two sides facing north and south and 2 per...
- Q A fence must be built to enclose a rectangular area of 5000 ft Fencing material costs 3 per foot for the two sides facing north and south and 6 per...
- Q A yeast culture is growing at the rate of W t 0 5e0 1t grams per hour If the starting culture weighs 5 grams what I will be the weight...
- Q Find the slope of the graph of the function at the given point Use the derivative feature of a graphing utility to confirm your results Function Point 0 0 f...
- Q 5 Verify that f and g are inverses f x x 7 g x 2x 14
- Q 3 85 8 190 9 230
- Q A baseball diamond has the shape of a square with sides 90 feet long see figure A player running from second base to third base at a speed of 27...
- Q y sin In 5x 2x Different
- Q uestion z 6 5 4 3 2 1 3 y 4 5 46 3 6 Write an equation for the function graphed above
- Q Problem 3 Find the arc length of the graph of x e e from y 1 to y 1
- Q Problem 2 Find the arc length of the graph of y from x 1 to x 3
- Q Compute the following derivative using the method of your choi cos x5 sin 5x dx cos x5 sin 5x
- Q Use a calculator to make a table to approximate the following limit Confirm your result with l H pital s Rule lim 1 3h h 0 Complete the table below...
- Q Find the arc length of the curve below on the given interval y In x x 1 for 1 x 65 Hint Integrate with respect to y The length of...
- Q Use a calculator to make a table to approximate the following limit Confirm your result with l H pital s Rule 17 1 X lim X 0 Complete the table...
- Q Use the inverse relations between In x and e exp x and the properties of In x to prove the following properties a exp 0 1 b exp x y...
- Q Find the volume of the solid generated when R shaded region is revolved about the given line 1 x y 1 x 1 about y 1 The volume of the...
- Q Determine whether the following statements are true and give an explanation or counterexample Assume x 0 and y 0 a In xy Inx Iny b In 0 1 c In...
- Q Compute the following derivative using the method of your choice d cos x4 sin x dx d cos x4 sin x
- Q Determine the following indefinite integral Check your work by differentiation S5 dr dr
- Q Find the derivative of the function g x 5x 13x 3 et g x 5x 3x
- Q Evaluate the following integral Ax dx
- Q Show all necessary work in your solutions Problem 1 Find the arc length of the graph of y x 2 3 2 from x 0 to x
- Q Find the derivative of the function g x
- Q Find the value of T S 2 esin a cos q dq 1 C 2
- Q ind a formula for the inverse of the function z f x In 3x
- Q Construct a table of values to find the value of the limit from both sides for lim x 2 x 8 2 x
- Q ind the derivative of the function x g x 5x 3x
- Q Evaluate the following limits a b NOTE If needed enter INF for o and INF for o HINT Look at where the exponential fuction is going in the f 4...
- Q Find the following integral Note that you can check your answer by differentiation S 6e4 3 3 dy
- Q Find the following integral Note that you can check your answer by differentiatio S 6e4 y Vy dy
- Q Find the value of S 2 esin a cos q dq 2
- Q Find the following integral Note that you can check your answer by differentiation S 7 e2z dx
- Q et dy dz 5x y e C
- Q f x
- Q Find the derivative of the function f x below f x ln 15 e 9 f x
- Q The expression e7 9 6 can be written as ef a where f x is a function of x Find f x f x
- Q Solve each equation for A Solve In 11x 1 5 for x 0 B Solve e 8 1 3 for x x 3
- Q The expression e 8 52 can be written as ef 2 where f a is a function of x Find f x f x 0
- Q Given functions Find 3x g x x 6 h x h x a hog x b State the domain in interval notation x
- Q 5 4 M 2 3 2 3 The minimum degree of the polynomial is 2 The minimum degree of the polynomial is 3 The minimum degree of the polynomial is...
- Q Determine the end behavior of f x 5x x 4 x 2 5 x 3 2 Ox y x y E
- Q A fireworks mortar is launched straight upward from a pool deck platform 10 m off the ground at an initial velocity of 62 m sec The height of the mortar...
- Q Factor completely using synthetic division 3x 5x 4x 4 given that 2 is a root x intercept value Write the answer in linear factor form You must show work to...
- Q A salesperson makes a base salary of 1100 per month Once he reaches 38 000 in total sales he earns an additional 6 commission on the amount of sales over...
- Q The monthly profit for a company that makes picture frames depends on the price per frame The company determines that the profit is approximated by P x 50x 80 000x...
- Q Problem 5 Use the method of cylindrical shells to find the volume when the region bounded above by x y and x 2 y and below by the x axis...
- Q What is the angle measure 52 48 51 equivalent to in decimal degrees Enter your answer rounded to the nearest thousandth of a degree in the box
- Q For the region bounded by y 2x the x axis and x 2 determine which of the following is greater the volume of the solid generated when the region is...
- Q Find the volume of the solid generated when R shaded region is revolved about the given line y 1 x y 1 x 1 about y 1
- Q Problem 1 Use the method of cylindrical shells to find the volume when the region bounded by y 1 x x 0 x 1 and the x axis and rotated...
- Q 20 0 mL of water from a graduated cylinder is added to a beaker of water as shown below What is the new volume of water in the beaker 40...
- Q A chunk of sulfur has a volume of 5 95 cm What is the mass of this sulfur Density of sulfur 2 07 g cm 0 348 g O 2...
- Q Water has a density of 1 0 g mL Which of these objects will float in water Object I mass 50 0 g volume 53 1 mL Object II mass...
- Q Perform the following conversion 6 69 m s 1h 60 minutes 60 seconds 1 minute 1km 1 609 mi 1km 1000m O 0 334 mi h 15 0 mi h...
- Q Find the following Simplify your answers completely f x 6x 9 g x 4 x a f g x 5x 5 b f g x 7x 13 c fg x...
- Q Determine the area enclosed by the functions g x 4x 3 and f x 6 x 2x 2 between x 4 and x 2
- Q Evaluate the indicated function for f x x2 1 and g x x 3 algebraically If possible use a graphing utility to verify yo answer f g t 5
- Q Find the following f x x 3 g x x 3 a f g x b f g x c fg x d f g x What is the domain...
- Q Evaluate the function for f x x 3 and g x x 2 f g 1 f g 1
- Q Consider the following graph 5 y 4 3 2 1 vertical shift of 3 units upward horizontal shift of 3 units to the left reflection in the x axis vertical...
- Q Use a graphing utility to graph the three functions in the same viewing window f x x 3x 2 g x f x h x f 3x Describe the graph...
- Q g x x 3 8 a Identify the parent function f f x b Describe the sequence of transformations from f to g A horizontal shift 3 units to the...
- Q Compare the graph of the function with the graph of its parent function y X 1 Oy 8 is f x horizontally stretched 8 fold X X Oy y 8...
- Q graph Determine which equation s may be represented by the graph shown Select all that apply Of x x 4 Of x 4 x Of x 4 Of x x...
- Q Compare the graph of the function with the graph of its parent function y x The graph of y x is a vertical shrink of f x x The graph...
- Q Compare the graph of the function with the graph of its parent function y x 4 Oy x 41 Oy x 4 O y x 41 O y x 41...
- Q Determine the convergence or divergence of the sequence with the given nth term If the sequence converges find its limit Limit equal O Converges Limit equal 3 2 Converges Diverges...
- Q 35 Velocity Use the results of Problem 33 to find the horizontal distance travelec by the bullet in 3 seconds Neglect the resistance of air on the bullet
- Q For each problem below the magnitude of the horizontal and vertical components of vector V are given In each case find the magnitude of V 27 Vx 30 V 40...
- Q Solve 2ydx x ln y In x 5 dy 0
- Q f x 6 3 2 using transformations Show the Vertical Asymptote and the y intercept 10pts Sketch
- Q Evaluate the following integral X 2 X 3 X x 3 dx dx
- Q Calculate the derivative of the following function y sin cos 5x dy dx 11 6 sin cos 2x cos 2x sin 2x
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