Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...
A: The given integral is: F(θ)=∫cos3(θ)+sin(2θ)-3cos(θ)sin3(θ)+3cos2(θ)+2sin(θ)-3dθ
Q: Calculate the arc length of y = 15 – 14x over the interval [1,3]. (Use symbolic notation and fractio...
A:
Q: (a) Find (fo g)(x). (b) Find (g o f)(x). (a) (f o g)(x) =(Simplify your answer.) %3D
A: Topic:- function
Q: show
A:
Q: Determine an equation for the line tangent to the function at x-e. O Al y--) TT O B) y--) 1 (x -e) D...
A:
Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...
A:
Q: Eind deriv, (118) y= Vx24 -2aresecă, 2<x<4
A:
Q: Differentiate the function after first rewriting the function in a different form. (Do not use the p...
A: The objective of the question is rewrite the function in different form and determine it's derivativ...
Q: write the slope-intercept forms of the equations of the lines through the given points •parallel to ...
A: Given: (a) Point:(-1,0);Line:y=-3(b) Point:(2,5);Line:x=4
Q: 10telupleO nnidgs c) tanx = -1.5 d) 2 sin x = 1.05 %3D 0". rdguena a": 123-6 b": o"11so b" 303 6a" द...
A: Note: As per our policy we can only solve three subparts of the question.
Q: If A = -ax + 6a, + 5az and B = ax + 2ay + 3ax find: (a ) the scalar projections of A on B, (two deci...
A:
Q: dt 4е-t — et
A: ∫14e-t-etdt=∫14et-etdt=∫et4-e2tdtlet et=uthen∫et4-e2tdt=∫14-u2du
Q: Given the following table, give the best estimate for f'(9)- f(9) 6. 12 15 f(x) 37 42 48 64 23 8. Th...
A:
Q: A car travels down a highway at 25 m/s. An observer stands 200 m from the highway. (a) How fast is t...
A:
Q: lim (x,y)→(0,0) f(x, y) to be along the path Y = x. Based on the table of values, enter what you bel...
A: Based on the table values we have to find the limit value.
Q: Determine the point on the curve at which the slope is 18. r³ - 9x – y = 0
A:
Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6) 2....
A: Given that: 1. y=2x2-3x+1 at (-1, 6)2. y=x2+x+1 at (-2, 3)3. y=3x2-x+1 at (1, 3)...
Q: Use the logarithm identities to obtain the missing quantity. 2 log,(p) – 4 log,9) – 3 log,(r) = log,
A:
Q: sin2t costdt (A sin2t cost C sin?t D sint E cos?t F None
A:
Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...
A: We can answer both the question as below
Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f...
A: The given functions are f(x)=x2-6x & g(x)=6-x3
Q: Find the derivative of the function using the definition of derivative. g(x) = /2 – x g'(x) = State ...
A:
Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D...
A:
Q: If g(x) = 3x2- 4x +5 ; G(x)=x3 – 2x2+ 5x , then G is the anitiderivative of f . A) True B) False
A: Let's find.
Q: For the function 0 < x < 4 = 4 2x – 4, -2, f(x) = x2 – 8x + 20, 4< x use algebra to find each of the...
A:
Q: For the following differential equations, determine a. order b. degree c. linearity(yes or no) d...
A:
Q: Evaluate the integral (@) = / cos (0) + sin(20) – 3 cos(0) sin (0) + 3 cos2(0) + 2 sin(0) COS de 3 H...
A: Evaluate the integral
Q: Let f(x)= -6x^4+8x^3+72x^2 a) The values of x for which f has a horizontal tangent line are x=
A:
Q: Evaluate the following integral: 4 + C dx 2-16
A: Here we have to use the trigonometric substitution for solving the integral
Q: Solve the initial value problem for y as a function of x. dy x² + 121) 3 23, у(11)%3D0 dx The soluti...
A: Topic:- integration
Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...
A:
Q: Let F(x) = f(a") and G(2) = (f(x))". 3, f(a) = 3, f'(a) 15 You also know that a 10, f'(a") Then F'(a...
A: F(x)=fx6 and G(x)=fx6
Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...
A:
Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point. ...
A: Here we will find how fast is the balloon rising,
Q: For the following function, find the value of (a) f( – 3) and (b) f(4), if possible. x2 -1 if xs0 y ...
A:
Q: f(x) = -3x³ + 8x – 5
A:
Q: The volume V of a cube with sides of length x in. is changing with respect to time. At a certain ins...
A: Solved below
Q: Solve each triangle. Round answers to the nearest tenth. 9) 10) 12 13 31.9 B. 14 12) 11) 39 12.6 47 ...
A:
Q: Let f(x) = (- 3r- 9)* (6z² – 6)5 4 f'(x)=
A:
Q: Let f(x) = -3x° + 8x – 5 Use the limit definition of the derivative to calculate the derivative of f...
A: The given function, f(x)=-3x3+8x-5
Q: Factor out the greatest common factor X(5x-6)+2(5x-6)
A:
Q: Find the smallest K such that | f4) (x)| < K for 4 <x<7. Write answer in simplest form. 7 3 4 ,2
A: Let's find.
Q: Evaluate S dx by letting u = x – 1. The given integral can be transformed to S h(u)du. If we evaluat...
A:
Q: (a) Estimate the area under the curve across the given domain with the "Trapezoidal Rule" using thre...
A: The integral to be evaluated using Trapezoidal rule is ∫x=-2x=+22x3+3x2-7x+3 dx. The trapezoidal rul...
Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand ou...
A: We can find the derivative using chain rule as below
Q: Show how to use the Intermediate Value Theorem to show that the equation z – V4z = 7 has a solution ...
A:
Q: 1 g(x) = (3x3 + 5x + 4)3/4 g'(x) = Need Help? Read It
A:
Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...
A:
Q: Let f(a) = V5z + 2x + 5 f'(x) = [ f'(1)
A: I am going to solve the given problem by using some simple calculus to get the required result of th...
Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...
A:
Step by step
Solved in 2 steps with 2 images
- A company manufactures plastic buckets that are shaped like cylinders without a lid. WHich will cost more to manufacture: Bucket 1, with a radius of 6 inches and a height of 18 inches, or Bucket 2, with a radius of 9 inches and a height of 15 inches? Assume that the plastic material costs $0.50 per square foot, but the bottom of each bucket must have double thickness.The linear approximation to 1 over sqrt(5-x) at x=0 is y=?An automobile weighing 5500 lb is driven down a 5° incline at a speed 60 mi/h when the brakes are applied, causing a constant total braking force (applied by the road on the tires) of 1700 lb. Determine the distance trav- eled by the automobile as it comes to a stop.
- Suppose that 2 J of work is needed to stretch a spring fromits natural length of 30 cm to a length of 42 cm.(a) How much work is needed to stretch the spring from35 cm to 40 cm?when are the properties trivally or vacuously true?A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be filled with water. If a If a pail of water contains 0.75 cubic meter of water, how many pails of water are needed to fill the tank?
- The force on a particle is described by 8x3 - 6 at a point x along the axis. What is the work done in moving the particle from the origin to x = 5.Let’s model R2-D2’s body with a cylinder of height 3 feet and radius 0.75 feet and head with a semi-sphere of radius 0.75 feet. What is the total volume of R2-D2’s body and head?A force of 7 pounds is required to hold a spring stretched 0.3 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.8 feet beyond its natural length?
- When a particle is located a distance feet from the origin, a forceof x sq + 2x pounds acts on it. How much work is done in moving it from x =1 to x = 3?A patient is drinking 0.6 pint of orange juice every two hours. At this rate, how many quarts of orange juice will the patient drink in twelve hours? Use Dimensional analysis (Hint 1qt = 2 pints)Suppose that you are stranded—your rocket engine has failed—on an asteroid of diameter 3 miles, with density equal to that of the earth with radius 3960 miles. If you have enough spring in your legs to jump 4 feet straight up on earth while wearing your space suit, can you blast off from this asteroid using leg power alone?