Calculus question and answers for September 26, 2023
- Q For each of the following sequences find tn and t5 a 2 14 98 686 b 160 80 40 20 c 7 21 63 189 Enter your responses in the...
- Q The general term of a sequence is tn n 5 a Find the first 3 terms of the sequence b Identify if this sequence is an arithmetic one a geometric...
- Q 8 At the same time Tom and Alice measured the angle of elevation to the moon while standing exactly 300 km apart The angle of elevation to the moon for...
- Q 3 Graph f x 3x3x The 2 3 is an exponent on the x Compute the first derivative Make a sign chart as demonstrated in lecture to indicate the intervals...
- Q 7 Determine the remaining sides and angles for the given triangle 7 pts Shainb 2 20 C 5 b
- Q N 4 A model used for the yield Y of a crop as a function of soil nitrogen level N is Y 1 9N where N 0 What nitrogen level...
- Q 1 The temperature T of a patient at time t is modeled by T t 2 os t 98 6 Find the instantaneous rate of change of the temperature at...
- Q 3 Air is being pumped into a balloon at a rate of r t 6t grams per minute How much air is pumped into the balloon during the time from...
- Q 2 Find the derivative of f x e x In 4x
- Q 5 Find dy dx using implicit differentiation 2x x y y 2
- Q nd the sum S of the first 40 terms of the arithmetic sequence 4 10 16 22
- Q Let A 3 5 B 2 1 and C 1 4 Find the component form of the vector 2C Select one O a 1 2 O b 2 8 c...
- Q In how many ways can a group of five nurses be chosen from a hospital nurses advisory board consisting of 15 members Select one O a 3 O b 360...
- Q A jar contains 6 blue balls and 4 yellow balls If 2 balls are drawn without replacement what is the probability that neither ball is yellow Select one O a...
- Q What is the area of this figure 3 mi 6 mi r 6 mi 7 mi 5 mi 3 mi Write your answer using decimals if necessary 4 square miles
- Q pute the volume of the solid whose base is the region in the first quadrant bounded by y 5 y 1 and the y axis and whose cross sections perpendicular...
- Q 3 10 points A particle moves on a straight line with velocity v t 9 t m sec Find the total distance travelled by the particle over the time interval...
- Q 5 10 points Compute the following definite integral 1 S t 1 In t You can write the answer in a simplified form or up to 3 decimal places dt
- Q 6 10 points Using integration by parts calculate the following indefinite integral xsin sin 2x dx
- Q Damon is saving up money for a down payment on a condominium He currently has 5094 but knows he can get a loan at a lower interest rate if he...
- Q ind the general solution given that y e satisfies the complementary equation Use c and c fo he two constants xy 4x 1 2x 1 y 3x e
- Q Find the angle a between the vectors u 3 4 W 5 12 a Round your answer to the nearest tenth Enter
- Q Find the exact value of each trig function below 5 14 sin x y if sin x 54 14 9 cos x sin y 14 4 15 cos x y...
- Q Write the following equation in logarithmic terms Do not simplify your answer Answer 2 7 19
- Q What is the radius of convergence 9 Find the parametric equation for the cyloid given by a wheel radius 10 meters if i is moving foward at 5 meters per...
- Q Evaluate the following logarithmic expression Round off your answer to two decimal places logis 478
- Q Evaluate the following logarithmic expression without the use of a calculator Write your answer as a fraction reduced to lowest terms log 1 1
- Q 10 Find the area inside r 1 sin 0
- Q Solve the following logarithmic equation Express your answer as either an exact expression or a decimal approximation rounded to four decimal places If there is now solution indicate No Solution...
- Q Write the equations needed to solve each problem Then solve How many steps Answer do 1 Anna plants peas in of her garden and herbs in of it She divides...
- Q A certain species of deer is to be introduced into a forest and wildlife experts estimate the population will grow to P 1 630 2 where r represents the number...
- Q The half life of nitrogen 16 is approximately 7 13 seconds Step 1 of 3 Determine a so that A 1 Aga describes the amount of nitrogen 16 left after...
- Q 1 Find three other pairs of polar coordinates for 4 5 plot the point
- Q Calculate the divergence of the field 12x 7y 8z Calculate the curl of the field 22 32 4 3yz Show all steps
- Q 4 Sketch the curve and find a r 3 Cartesian equation a b 0 1
- Q 3 write this Cartesision equation in standard form Graph it Find a polar equation for it x y 4y 5 0
- Q a Cartesion equation for r 6c050 Graph it
- Q Tessa invests 5500 in a new savings account which earns 4 2 annual interest compounded continuously What will be the value of her investment after 7 years Round to the...
- Q 5 points he acceleration of an object moving in 3 dimensions is given by a t 0 b where b 0 If the initial velocity is and the initial position...
- Q Find the center vertices foci and the equations of the asymptotes of the hyperbola If an answer does not exist enter DNE x y 1 x y center vertices foci...
- Q Find the maximum and minimum values of the function f x y x 2 4xy 4y 2 2x 4y 3 on the region D defined by x 2 y 2...
- Q Chester hopes to earn 1200 in interest in 2 8 years time from 24 000 that he has available to invest To decide if it s feasible to do this...
- Q Let f x be a continuous function on the closed interval a b and differentiable on the open interval a b Prove that if f a f b and f...
- Q The Fashion Store has 8000 available each month for advertising Newspaper ads cost 400 apiece and no more than 30 can be run per month Radio ads cost 200 each...
- Q Billy bought a car for 20 000 Most cars tend to depreciate in value over time After one year Billy s car was valued at 15 000 After two years...
- Q Is it possible to multiply the following matrices A No Yes 2 3 0 3 4 1 0 5 71 B 2 9 Lo 3 51 1 2 3 3
- Q Consider the equation X x a Solve the equation accurate to 3 decimal places by performing fixed point iteration as given b Find an interval a b such that iteration...
- Q Find the area of the region that lies inside the cardioid r 2 1 cos 0 and outside the circle r 2 J
- Q Consider the function y x x a Determine the domain of the function b Determine intervals of increase decrease c Determine local max min values e Find points of inflection...
- Q T b The angle of elevation of the sun is decresing at a rate of 0 25 rad h How fast is the shadow cast by a 400 ft tall...
- Q This table 0 4 8 12 9 3 3 3 16 20 24 3 3 9 I f x shows several values of a sinusoidal function f x A formula...
- Q a The volume of a cube decreases at a rate of 10 m s Find the rate at which the side of the cube changes when the side of the...
- Q The velocity of a particle moving along the z axis is given by f t 15 5t cm sec Use a graph of f t to find the exact change...
- Q Find the equation of the tangent to the curve for each function at the given point a y 4 sin x at 1 6 b x 4xy y 13 at...
- Q Given the tables for k f below find the following w k w f w 0 3 1 2 3 4 5 67 6 7 69 8 9 036NNS9 4...
- Q 15 20 Finding the Area Under a Curve Find the area of the region that lies under the graph of f over the given interval 15 f x 3x 0...
- Q b lim ln sin x check what is happening first to sin a when then plug into ln x 4 x 20
- Q 1 Find the limits x 9 a lim X2 x 3 x 2x 3
- Q The value of a machine V at the end of t years is given by V C 1 r where C is the original cost and r is the rate...
- Q Jse calculus to find the volume of a pyramid with height h and rectangular base with dimensions b and 26 Volume
- Q piece of wire 6 m long is cut into two pieces One piece is bent into a square and the other is bent into an equilateral triangl a How much...
- Q 10 If cosa 53 2 5 find 3cos a csca cot a
- Q 7 Select the expression below that is identical to 2 sina 56 A co D sin A D 8 Use a sum or difference identity to select the exact value...
- Q Use double angle identities to find the exact value of each trig function below 3 5 5 sin 20 if sina cosa 56 8 6 56 s100 5 cos 20...
- Q Find the area inside the cartiod r 2 2cosx outside r 2
- Q ithout using a calculator find the missing angle below 3 tan cot 54 for 0 0 90 52 4 52 sin a cos17 20 for 0 s as 90
- Q Find the radius of convergence R of the series R 8 2 1 nx n 1 Find the interval I of convergence of the series Enter your answer using interval...
- Q 7 Which equation matches this description Vertical asymptotes x 2 and y 1 x 2 x 5 intercept x 1 y intercept x 5
- Q Evaluate the given limit and justify the steps that you took to find the limit lim tan 1 x 0 2x sin x X Note The goal of this problem...
- Q Use the upper and lower sums to approximate the area of the region using the given number of subintervals of equal width Round your answers to three decimal places upper...
- Q 2 Find the solution to the following equations for 0 0 2 a 3 sin 0 2 cos 20 0 Value 5 f 25in x 35inx 1 2 sinx 1...
- Q Discuss the continuity of the function Enter your answers as a comma separated list 9 x 3 f x f is discontinuous at x y 7 T 6 5 4...
- Q Sum and Difference Formula sin A B sin A cos B sin B cos A sin AB sin A cos B sin B cos A cos A B cos A...
- Q Find the absolute extrema of the function f x y 4x 2 4y 2 3x 3y 2 on the domain defined by x 2 y 2 25 Round answers to...
- Q Consider the following piecewise defined function 2 3 4 40 5 x 8 Step 1 of 3 Evaluate this function at x 2 Write the exact answer Do not round...
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