Calculus question and answers for January 08, 2024
- Q Find limx 3 5 2 Remember that x is the greatest integer function x O A 3 5 1 OB 3 5 OC 0 OD 2 3 5 O E...
- Q Find lima 3 5 2 Remember that x is the greatest integer function x OA 1 OB 3 5 O C 0 O D 1 3 5 2 3 5...
- Q Which of the following could be the units for if y is the surface area of a tumor and x is the radius of the tumor O A Millimeters per...
- Q Does the graph represent a function that has an inverse function Q 10 10
- Q 10 8 6 Choose the correct statement lim f x 00 x 1 x x 2 8 8 6 4 0 2 6 8 10 4 1 10
- Q es the graph represent a function that has an verse function 10 10 10 10 Q Q
- Q The graph shows f x The dashed lines are vertical asymptotes 10 8 6 lim f x X 4 Choose the correct statement lim f x 4 00 2 1...
- Q approximately what values of x between 5 and 5 does the original function y have inflection points W M 3 OA x 2 03 x 0 x 2 03 OB...
- Q Here are four graphs Which of the following is the graph of an odd function Graph I Graph II Graph III Graph IV OA Graph II only OB Graph III...
- Q 1 Consider the family of curves described by x xy ay b Remember to justify your answers A Let a 1 and b 7 Find the two x intercepts B...
- Q Use the Runge Kutta implementation in Matlab ode45 to find a numerical solution y 0 6 to the differential equation dy t y t 3 sin 4t y t t...
- Q Let f x x 4 Which of these is the equation for the normal line to this curve at the point 2 4 O A y 1 2x 25 B...
- Q 1 For each of the following find lim f x x a I II III lim f x x a lim f x x a A f x 2 x...
- Q 2 A convex lens with focal length fcentimeters will project the image of an object on a point behind the lens If an object is placed a distance of p...
- Q 2 Suppose a coin is dropped from the top of the Empire State building in New York which is 1 454 feet tall The position function for free falling objects...
- Q The sides of the triangle shown increase in such a way that dz dx dy 1 and 3 At the instant when x 12 and y 5 what is the...
- Q Use the notion of signed area to evaluate the definite integral 2 x dx PROTIGHE 6 You get fo 2 x dx OA 8 OB 4 O C 12 OD...
- Q Consider the function f x The graph is below f Use the notion of signed area to evaluate the following definite integral f x dx OA 4 TT OB 2...
- Q The following graph of f x consists of line segments and semicircles y f x M N 0 13 Click here for long description Use the graph and the notion...
- Q You re given that 1e dx 51 880 to three decimal places Using properties of definite integrals and exponentials find 2e dx A 224 273 OB 143 931 C Can...
- Q Given that f3 dx 63 0 and f3 xdx OB 99 0 OC 324 0 OD 576 A Can t tell from the information given E 117 0 13 5...
- Q Answer the following questions about the sphere whose equation is given by x y 2 8x 4y 80 1 Find the radius of the sphere Radius r O 2 Find...
- Q Find the equation of the sphere of radius 6 centered at 1 5 1 This sphere is given by
- Q What is the terminal point of the vector a Answer 7 A a 1 4 based at P 2 1
- Q Find the length of OR R 6 1 9 OR C
- Q Find a unit vector u in the direction opposite of 3 9 10 u
- Q and Dot Products Consider the vectors u 4 0 10 and v 2 1 9 Compute u 2 1 9 Compute v 2 29 Compute u v 86
- Q P 4 5 8 R 9 3 8 Find the point Q such that R is the midpoint of Po Q
- Q v 1 w 3 The angle between v and w is 1 3 radians Given this information calculate the following a v w b 4v 2w c 3v1w
- Q Distance and Dot Products Consider the vectors Compute u Compute v Compute u v u 4 0 10 and v 2 1 9
- Q Use the geometric definition of the cross product and the properties of the cross product to make the following calculations a k 3 K b i j ix 3 X...
- Q Find the unit vector in the direction opposite to v 4 4
- Q Find the components and length of the following vectors i 5j Components Length i 5j Components Length 4i 5j Components Length 4i 2j Components Length A B 1 0 2...
- Q Calculate vx w v 1 8 5 w VX W 4 7 1 W
- Q Calculate the cross product assuming that u x w 5 2 7 3u 3w x w CURS
- Q v 1 6 2 w 8 10 1 Find the cosine of the angle between v and w cos 8
- Q Assume that u v 4 u 5 and v 3 What is the value of 9u u 7v
- Q Find a unit vector e where v 9 8 9 ev es
- Q Consider a triangle ABC like the one below Suppose that A 25 C 117 and a 39 The figure is not drawn to scale Solve the triangle Round your answers...
- Q Rationalize the denominator and simplify 7 2 7 2 LE
- Q The regions in the graph indicate whether a person is obese overweight borderline overweight normal weight or underweight The formula to find a person s body mass index BMI is...
- Q 1 point Find the cross product i e j e k 6i e j e k
- Q Let a 5 3 9 and b 9 7 8 be vectors Compute the cross product a x b 7 axb
- Q Find a non zero vector a perpendicular to the vectors V 7 3 and u
- Q Use the graph to find lim f x 10 8 6 4 lim f x X At 2 104 8 6 4 2 0 2 4 6 8 10 f...
- Q of the definite integral we have 6k 6km From the definition limn 0 1 sin k 1 n 6 A fo 2x sin 2 x dx 6 O B f...
- Q Write the expression as a single logarithm W log3y 4log3z log3 w 3 log
- Q Here is a graph of the function g 54 3 2 m s 40 W ea 1 H 2 3 4 2 Use the graph to find the following If...
- Q Graph the solution to the inequality on the number line w 4 7
- Q Evaluate the following definite integral to three decimal places by 2 interpreting it in terms of areas 9 x 1 2 dx 1 OA 7 0686 OB 34 274 O...
- Q Factor the following expression 2 3 28475 16xx
- Q Find the exact value of cos x under the given conditions 15 17 0 B sin OA OB 5 13 O D T 0 x cos 2 220 221 140...
- Q Use the information given about the angle 0 0 0 2x to find the exact value of cos 20 3 cos8 7 csc8 0 OA OB O c O D...
- Q A 1 0 L buffer solution is 0 060 M HC2H302 and 0 250 M LIC2H302 Which of the followi actions will destroy the buffer O adding 0 060 moles...
- Q 5 Let g be the function given by g x x 4x 6x 4x k A On what intervals is g increasing Justify your answer I where B On what...
- Q hours The cost for each firefighter is 20 for transportation plus 25 per hour for salary meals and other overhead A Let C be the cost of the fire including...
- Q 3 Below is the graph of the velocity of an object moving in the positive direction along the x axis Answer the following questions using only information from the graph...
- Q n limno 2 1 k 1 n 4 O A 2 2x dx O B 2 x dx 4 c 2 x dx 2 O D 2 2x dx O...
- Q Calculus AB Assignment Applications of the Derivative I A Find an equation that relates the total length of the elastic x to the distance y that the button has moved
- Q 6 At a certain instant the base of a triangle is 5 inches and is increasing at the rate of 1 inch per minute At the same instant the height...
- Q 1 A candy company needs a custom box for their truffles The box they ve chosen is in the shape of a cylinder with a hemisphere of the same radius...
- Q 3 If a right triangle has legs 6 and 8 its hypotenuse is 10 The triangle will be inscribed within a circle with area 25T The hypotenuse will be the...
- Q Which of the following equations are true for any two nonzero orthogonal vectors u and v in space Select all that apply u v u v Oux v 0 0...
- Q Which of the following statements are always true for any pair of nonzero vectors v and w Select all that apply v w is a vector orthogonal to both v...
- Q Which of the following statements apply to any unit vector u in space Select all that apply O cu c for every number c u u 1 Ou 1 u...
- Q Two equivalent vectors always have the the same select all that apply O direction terminal point O magnitude initial point
- Q Evaluate the following definite integral by interpretir 5 S 2 2 3x dx OA 24 OB 17 5 O C 12 5 OD 37 5 OE 75 0
- Q 181 consists of two straight lines and a semicircle y f x 2 Use this graph to evaluate to three decimal places f f x dx OA 14 000 OB...
- Q Domain Range Function AD 400 H
- Q Use trapezoids to approximate the area under the curve y f x 5 sin x 2 5 cos 4x on the interval 0 1 using 10 equal subdivisions 04 42...
- Q y f x 5 sin xx 2 5 cos 4xx on the interval 0 1 using 10 equal subdivisions M 04 0 2 You get Area OA 3 196 B...
- Q Graph the function y 13 8 Plot five points on the graph of the function one point with x 0 two points with negative x values and two points with...
- Q is a function write yes or no neither 3 Domain Range Function
- Q Leila Dan and Reuben sent a total of 124 text messages over their cell phones during the weekend Dan sent 9 fewer messages than Leila Reuben sent 3 times as...
- Q Use this graph of g to find the solutions to g x 1 10 8 9 6 4 2 104 8 6 4 2 0 2 4 6 8 10...
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