Calculus question and answers for July 12, 2023
- Q 2 7 sin 0 cos 0 Enter your answer in slope intercept form by filling in the boxes Enter values so that fractions are simplified Convert y 8 x to...
- Q j 1 a j 1 d 2a n 1 d Hint First write down what P 1 says and then prove it Then write down what P k 1 says...
- Q Find a geometric power series for the function centered at 0 by the following methods 2 f x 5 x a by the technique shown in Examples 1 and 2...
- Q D A C B 1 List the pairs of adjacent angles 2 List the pairs of vertical opposite angles 3 Angle Z and Angle X on intersecting lines are vertical...
- Q 3 In the triangle shown we can find the angle 0 as follows a sin b 8 cos c tan 10 8 6 4 To find sin cos we let...
- Q The price p t of a product is assumed to satisfy the differential equation A Show that p t 4 Ce 0 3t Substituting p 4 Ce 0 3t and...
- Q A rocket is launched upward with a velocity of 128 feet per second from the top of a 45 foot stage What is the maximum height attained by the rocket...
- Q Consider the following piecewise defined function f x Answer Step 1 of 3 Evaluate this function at x 6 Express your answer as an integer or simplified fraction If the...
- Q Evaluate the determinant of the matrix A 26 48 13 24
- Q Determine the cofactor of a32 in the matrix A 1 3 5 1 4 2 2 2 8
- Q Determine the cofactor of a13 in the matrix 8 18 2 1 A 0 7 7
- Q Given the following matrices if possible determine 3B 3A If not state Not Possible Answer 9 2 3 8 A 7 B 7 4 0 10 1 8 Selecting a...
- Q Let D be an ellipse rotated counterclockwise by radius was 6 and vertical radius was 3 76 4321 1 2 Convert radians as pictured below Before rotation the horizontal Q...
- Q A volleyball was hit into the air at a speed of 21 miles per hour at an angle of 40 from the horizontal Express this velocity in vector form Round...
- Q Consider the following matrix 26 7 13 17 6 49 35 45 5 4 Step 3 of 3 Determine the value of ay if possible If the element indicated is...
- Q Simplify the following expression 5 3 27
- Q Find the sum of the first 47 terms of the arithmetic sequence 0 7 14 21 847
- Q A tank holds 2 000 gallons of water which drains from the bottom of the tank in half an hour The values in the table show th remaining in the...
- Q Use any convenient method to solve the following system of equations If the system is dependent express the solution set in terms of one of the variables Leave all fractional...
- Q 30 On a different level the new function h t 3t 12t 36 is used to model the height of the bird If the bird misses the target and hits...
- Q III Find the length of side AC C A 118 24 22 B
- Q Find the angle between vectors u 2 3 and v 2i 5j
- Q 3 Josh is swimming in a lake at a speed of 4 feet per second in the direction of N 24 W Find the magnitude of the a horizontal component...
- Q 7 If F x y z P x y z i Q x y z j R x y z k is a vector field on R and the partial...
- Q Find the angle between the given vectors to the nearest tenth of a degree 1 3 110 7 108 4 112 5 O 71 6 2 3
- Q Find a b a 4i 8j b 2i 3j O 32 O 16 8 24 Ka
- Q Use the dot product to find Ivl V 5 1 O 26 O 4 O 2 6 O 6
- Q Consider the following equation of an ellipse x 4 v 1 36 16 Step 3 of 3 Find the coordinates of the two foci of this ellipse Round your answer...
- Q Given the following vectors calculate 10u 6v nswer 3 6 v 8 3 U
- Q To find the equation of a line in 3D what do you need Check Answer Save Answer format a b c Check Answer Save Find the point associated with x...
- Q Let F x y z 4x yzi 10j 2ryk and a smooth curve C given by the line segment from 1 2 0 to 2 0 1 Find ind 7...
- Q Use Stoke s theorem to evaluate Find curl F x 3 Answer format a b c curl F 5 for the vector field 7 x y z yi zj x...
- Q Fitzwilliam is buying a new car The sticker price for the base model is 10 000 but the options he wants will cost him an extra 15 He then talks...
- Q find a Cartesion equation for r 6 0050 Graph it
- Q Given F yi xj 0k and parametric surface 7 u v ui v u v k F a5 F ds F dS S S for 0 u 2 and 0...
- Q Use Stoke s theorem to evaluate Find curl F x y z x y 1 Answer format a b c curt F curl d5 for the vector field F x...
- Q Use Stoke s theorem to evaluate vector field F x y z yi rk for the surface S generated by the intersection of y z 3 and the cylinder r...
- Q arameterize the flow line of the vector field F 1 2 3 that passes through me point 2 2 3
- Q Lxp xy ds where C is the first quadrant are of the unit circle x y
- Q 5 On a dice the sum of the dots on opposite faces is always 7 Draw dots on the three could fold up to make a dice sinag to show...
- Q If you began earning 45 000 per year with a 1 8 raise every year what would your gross earnings be after three years Round your answer to the nearest...
- Q x y iven the equation 1 determine the foci the vertices and the asymptotes of the assor 9 36 yperbola 10 pts
- Q 11 Let 2 3 a b Determine w 2 and give a geometric interpretation of w in terms of v 3 pts Determine wll 2 pts
- Q Convert the polar equation r 8 tan 0 to rectangular coordinates 5 pts
- Q A wagon is pulled along a flat sidewalk by exerting a force of 25 pounds on the handle at an angle of 45 respect to the sidewalk How much work...
- Q Given that the angle 0 is in Quadrant II and tan 0 3 determine the values of the other 5 trigonometric functions 2 pts each sin 0 cos 8 cot...
- Q Bonus A bridge is built in the shape of a semielliptical arch The bridge has a span of 60 feet and a maximum height of 20 feet Find the height...
- Q x 19 Determine the partial fraction decomposition of x 4 x 1 x 3 8 pts
- Q Convert the point 2 4 to polar coordinates where angles are given in radians Round answer to 1 decimal place 2 pts
- Q Many states are carefully considering steps that would help them collect sales taxes on items purchased through the Internet How many randomly selected sales transactions must be surveyed to determine...
- Q Solve the following elementary exponential equation Answer 32 4 4x 1
- Q Compute the directional derivative of the function g x y sin x 3y at the point P 1 3 in the direction of 13 Be sure to use a vector...
- Q 5 points ind the domain of the vector valued function 97 3447 Show all steps Express your answer in interval notation
- Q Find two vectors orthogonal to the plane formed by a 4 5 1 and 2 0 3 Show all steps
- Q bints ulate the work done pulling a sled 20 m along horizontal ground with a constant force of 10 N at an angle of 55 above the horizontal Show all...
- Q id the center vertices and foci of the hyperbola 2 16 223 25 center vertices foci x y x x x y x y x y 10 Find the asymptotes...
- Q Determine the equation of the ellipse with foci 2 18 and 2 6 and vertices 2 19 and 2 7
- Q 6 3 0 A 1 2 911 B X TO 5 2 7 Determine the dimensions of AB
- Q Find a polar equation for the hyperbola with its focus at the pole and vertices 18 0 90 Hint These functions are plotted in polar coordinate system 0 and 7...
- Q 4 Find the power series representation for the function and determine its radius of convergence x 1 3x f x
- Q Write the polynomial f x that meets the given conditions Answers may vary 2 4 3 Degree 3 polynomial with integer coefficients and zeros of f x 8 and 5
- Q 1 2 3 PL K 111 LLL Evaluate the following integrals using the Cauchy integral formula a 2 dz m n 0 e z 1 mdz f f 2 1...
- Q How many radians is 288 Give the exact answer in simplest fo radians
- Q A Buiding contractor is buiding a play ground and Wishes to put down rubber mulch The mulch will go in a rectangular pit 27 feet long 15 feet wide and...
- Q in a 10 A relative frequency distribution is computel by frequency
- Q 1 What digit will be in the one place C Precuen d
- Q The area of a regular 200 dode cagon with a side 2 A lengths is given by A 38 what is the approximate area tv of a regular dode cagon...
- Q A date set has the following five number Summary min 4 Q1 15 median 20 Q3 25 max 28 which of the following provides an estimate of the standard deviation...
- Q In AHIJ j 690 cm i 900 cm and I 15 Find all possible values of ZJ to the nearest degree
- Q 5 Parallelogram PQRS with vertices P 3 4 Q 0 3 R 1 8 and S 4 9 a translation along the vector 7 0 b 90 counterclockwise rotation about...
- Q Preview Activity 4 1 1 Suppose that a person is taking a walk along a ong straight path and walks at a constant rate of 3 miles per hour a...
- Q Mathematics is not about numbers equations computations or algorithms it is about understanding 5 5 pts 6 6 275 Sketch the region bounded by y x and y 5 Compute...
- Q Evaluate the line integral de by evaluating the surface integral in Stokes Theorem with an appropriate choice dr G of S Assume that C has a counterclockwise orientation when viewed...
- Q The percentage of the population of a city infected t days after seasonal flu arrives is given by p t 13e for 0 t 30 After how many days is...
- Q 1 Find a unit vector u such that Duf Po 0 for f x y 3 sin ry 2 7e4y and Po 3 0
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