Calculus question and answers for March 07, 2024
- Q Suppose that a box is being towed up an inclined plane as shown in the figure Find the force w needed to make the component of the force parallel to...
- Q Find the area of the parallelogram whose vertices are given below A 2 3 B 2 0 C 8 3 D 4 6 The area of parallelogram ABCD is square...
- Q Consider a 400 N weight suspended by two wires as shown in the figure Find the magnitudes and components of the force vectors F and F2 F N Round to...
- Q A line passes through the points P 1 7 8 and Q 10 2 2 Find the standard parametric equations for the line written using the base point P 1...
- Q Find the following for the vectors v 101 9k and u i k a v u v ul b the cosine of the angle between v and u c the...
- Q Write inequalities to describe the following sets a The interior of the sphere of radius 4 centered at the point 3 6 2 b The exterior of the sphere of...
- Q 6 W x 1 dx x 4x x 1 a x 1 b x 4x C z4 4x 7 Find the area under the parabola y x 1 from x...
- Q 7 Find the area under the parabola y x 1 from x 2 to x 2
- Q 4 Evaluate the indefinite integral 4x 3 e z 3x 7 dx a e 4x 3 C b e x 3x 7 C c 4x 3 e x 3x 7...
- Q 13 If speedometer readings for a motorcycle at 20 second intervals are given in the table below then the Riemann sum t sec v t ft sec a true b...
- Q 9 A particle moves along a line so that its velocity at time t is v t measured in meters per second Find the distance traveled during the time period...
- Q a 1 m 10 Which integral or the sum of integrals represents the area betw the following two curves y 6x 2x 20x and y 2x 4x a 6x 24x...
- Q 15 Find the derivative of the function g x S dz ln a b 1 c ln 24 1 d In 24 1
- Q 4 Evaluate the indefinite integral S 4x 3 e 3x 7 dx a e 4x 3 C b e x 3x 7 C c 4x 3 e x 3x 7...
- Q px 3x 14 Find the derivative of the function g x x 1 t dt a 1 x 3x b 1 t 2t 3 1 c 2 1 2 3x...
- Q 11 Find the area of the region enclosed by y 12 x and y x 6 a 36 b 70 c 18 d 72 e none of the above
- Q a b 14 c 3 8 A particle moves along a line so that its velocity at time t is v t t 1 measured in meters per second Find...
- Q 16 Evaluate sin x dx a 2 b 0 c d 1 2
- Q 3 Which substitution will you make to evaluate the indefinite integral 4x 3 sec x 3x 7 dx 4x 4 c u a u x 3x 7 b u 4x...
- Q 2 Evaluate the indefinite integral f sin 5x 3 3x dx a 5 cos 5x 3 x C b cos 5x 3 x C c cos 5x 3 x C...
- Q 6 Which substitution will you make to evaluate the indefinite integ x 1 dx x 4x a x 1 b x 4x c x 1 x 4x
- Q 1 Evaluate the indefinite integral f cos 3x 2 dx a 3 sin 3x 2 C b sin 3x 2 C sin 3x 2 C d cos 3x 2 C...
- Q 5 Evaluate the indefinite integral f 2x sin x 1 dx a cos x 1 C b 2x cos x 1 C c cos x 1 C d none of...
- Q 3 a Fill in the table with the exact values and their approximations where necessary 27 14 PK 2n 7n 4 S R T 37 KA 5 4 31 JT...
- Q A particle has a velocity modeled by v t 6 2 ln t 8 measured in cm s over the interval 1 t 6 What is the distance traveled from...
- Q 4 3 x2 Find the derivative
- Q Suppose the rate of growth of bacteria in a Petri dish is given by q t 6 where t is given in hours and q t is given in thousands...
- Q Evaluate the indefinite integral given below 6x x 4x x x2 dx
- Q Question Find the price demand equation for a particular brand of toothpaste at a supermarket chain when the demand is 36 tubes per week at 1 65 per tube given...
- Q Use substitution to evaluate the indefinite integral Provide your answer below f In 2x dx 5x In 2x 5x dx
- Q Evaluate the indefinite integral given below e 20 Provide your answer below S e 2 csc 2x 2 csc 2x cot 2x csc 2x dx wwwww 2 csc 2x cot...
- Q A triangle has an area of 7 in and two of the sides of the triangle have lengths 5 in and 4 in Find the angle included by these two...
- Q Find a function that models the simple harmonic motion having the given properties Assume that the displacement is zero at time t amplitude 2 3 m frequency 0 5 Hz...
- Q Graph g x x on the Cartesian plane to the right The domain of g x is The range of g x is If any of the above do not...
- Q Find the terminal point P x y on the unit circle determined by t O 0 87 0 50 O 0 87 0 50 O 0 87 0 50 O...
- Q Find the equivalent expression 1 sin x 1 sin x 1 sin x 1 sin x O 4 tan x sec x O 4 cot x csc x O4 tan...
- Q Use the Law of Sines to solve for all possible triangles that satisfy b 23 c 35 LB 25 conditions O ZA 119 LC 39 a 51 O ZA O...
- Q Evaluate the indefinite integral given below Provide your answer below 20 5 dx 2e 6 x4 X5 31 dx
- Q Use the Law of Sines to find x Let c 21 LA 58 25 24 O 46 23 A C C X 70 B
- Q What is the side labeled x equal to if y 22 22 O 11 O 44 Y 30 X
- Q Find the reference angle for the angle measuring O O 4 T 11 4T 15 11 4 4 T 11 15T 11
- Q The measure of the angle 330 in standard position is given Find two positive angles and two negative angles that are coterminal with the given angle 670 1 060 70...
- Q Evaluate the definite integral below Enter an exact answer Provide your answer below S 1 3x 4x 4 dx L 3x 3 4x 4 dx
- Q If you were to use a substitution of u sin x to evaluate the definite integral below what would the new limits of integration be Enter an exact answer Provide...
- Q Use substitution to evaluate the definite integral given below Enter an exact answer Provide your answer below M 2 x sin 3x cos 3x dx x sin 3x cos 3x...
- Q 20 20144338 6d168319ac2e5dbf490 c0867dd8733e6 Question 42 11 09 Watch Video Graph the function f x 3 1 on the axes below You must plot the asymptote and any two points...
- Q Evaluate the indefinite integral given below S sin x 3 sin x sin x 4 sin x cos x dx Provide your answer below f sin x 3 sin x...
- Q 1 06011 5 5 8 3 The answer above is NOT correct Find the exact length of the curve given by x 2t y 1 3 0 t 1 incorr
- Q A mining company owns two mines These mines produce an ore that can be graded into two classes regular grade and low grade The company must produce at least 420...
- Q Find the missing side lengths Leave your answers as radicals in simplest form 25 26 30 7 3 A x 7 3 y 14 B x 14 y 7 C...
- Q Graph each function Lable all asymptotes lable any x y intercepts 4 x 2 22 f x A D 21 f x A B C 2 2 H B C...
- Q 27 3 J 2 30 A m 3 n B m 2 5 n 3 C m n 2 3 D m 3 n 2 28 4 5 3 45...
- Q Find the value of each trigonometric ratio 29 tan X 20 30 50 40 355554 Z 30 tan C B 12 U 35 20 37
- Q D C 23 S x 1 A B AH 24 S x 2 1 A B 6 D 2
- Q Divide Write your answer in fraction form 16 x 6x 10x 10x 16 x 1 11 A x 5x 5x 5 x 1 B r 5x2 5x 5 6 C...
- Q 14 f x x 5 A S x x 3 B x x 5 C x 4x 4 D S x 1 x 15 g x 3 x A g...
- Q 12 g x 2 x 25 A 8 x 5 B g x 2x 3 25 2 C g x D g x 6 4x 3 2 13 g x...
- Q 18 x 2x 24 x 5 A x 3 9 x 5 4 B x 3 C x 3 D x 3 x 5 4 x 5 6 x 5...
- Q 20 3x 13x13x 16x 5 x 5 1 A 3 2x 3x 1 B 3x 2r 3x 1 x 5 C 3x 2x 3x 1 10 x 5 4 x...
- Q Find the inverse of each function 10 S x A x Sx B 4 C x 5 6x 5 D x 2x 6 f x 16 x 11 g x...
- Q State if the given functions are inverses 10 x 2 5 g x s x x 2 A No B Yes 6 S x x 2 8 x A No...
- Q Which of the following sets are subspaces of R OA 7x 4y 5x 9y 6x 9y x y arbitrary numbers OB x x 2 x 8 x arbitrary number c...
- Q Consider the curve given by the parametric equations a Determine the point on the curve where the tangent is horizontal t x t t 147 y 2 t 147 b...
- Q Do 4 The natatorium pool is 25 0 meters by 25 0 yards Assuming the pool is uniformly 396 cm deep what is the volume of the pool in liters...
- Q Do 3 Determine the number of grams in the following A 15 85 moles of Helium 63 45gte 142atte 1 th
- Q B 71 60 g Si 2 549 mores Si 28 085951 71 600 Spo mole si
- Q Evaluate the indefinite integral given below Provide your answer below 8 36x sec 3x 2x tan 3x 2x dx 8 36x sec 3x 2x tan 3x 2x dx
- Q 1 point Find the equation for the line tangent to the parametric curve Y X y at the points where t 4 and t 4 For t 4 the tangent...
- Q 1 point dy dx parameter Find and d at the given point without eliminating the dx X dy dx t 6 y t t t 2 d y dx
- Q 21 Find the exact values of the three trigonometric functions sine cosine tangent of the real number t a b a D 5 13
- Q 1 point Find the exact length of the curve given by 1 t 3 Length X 2t y 0 t 1
- Q Find all angles a in radians that satisfy the equation Your answers should be formulas that look like angle k period where k 2 1 0 1 2 ranges over...
- Q Find all solutions of the equation tan5 x 9 tan x 0 The answer is Ak where k is any integer the constant A
- Q 13 Simplify the expression algebraically sin 7x 7y sin 7x 7y O sin 7x cos 7y O sin 7x 7y O2sin 7x cos 7y O2 sin 7x O sin 7x...
- Q 7 Complete the table 0 sin 0 0 7 0 8 0 9 1 1 1
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