The table below shows the velocity of an object (cm/sec) at each sec as it moves along a track for 10 sec. Estimate the distance traveled using ten subintervals of length 1 sec with left-endpoint values. Estimate the distance traveled using ten subintervals of length 1 sec with right-endpoint values. Time (sec) Velocity (cm/sec) 0 0 1 5 2 11 3 14 4 24 5 36 6 26 7 15 8 8 9 10 6 0

Q: problem for x as a function of t. Solve the initial-value dx (t² − 10t + 21) = 1, (t > 7, x(9) = 0)…

A: The given equation is;  (t2-10t+21)dx/dt =1 (t>7, x(9)=0)

Q: 9. 1 Sketch the graph of g(x)=sin5x, using the amplitude and the period.

A: Solve the following

Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

Q: 7 If f(x) = x² + 10x and g(x) = - X find f(x) · g(x).

A:

Q: Find y as a function of t if 9y" +12y + 29y = 0,

A: 9y''+12y'+29y=0which condition y(2)=8, y'(2)=9To Find: y(t)

Q: MY NOTES ASK YOUR TEACHER Consider the equation below. (If an answer does not exist, enter DNE.)…

A:

Q: S tan 520 do

A:

Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

A:

Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

A:

Q: What is the equation of the tangent line at 3x+1 0₁ = 1² of f(x) = ² 0, 2 X-2

A: The equation of tangent is :

Q: 8. Find the local maximum and minimum values and saddle points of the function f(x,y)=2x + 4y +3x²…

A: This is a problem related to maxima and minima. Please follow the procedure given below.

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ..)…

A: topic - sequence and series

Q: A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline (see…

A:

Q: Find a bound for the error in the approximation T20 to the given integral (but do not calculate…

A:

Q: (1) -dr x(x + 1)

A:

Q: f(g(x)).

A: f(g(x)) = 25/x2  provided the answer in step2 with solution

Q: Evaluate the integral: 3 X sin ³ COS 3 3 X col 3

A: Solved below.

Q: ∞ Σ(-1)k+1 k=1 3 5k + k 3 2k + k +5 k Select the correct choice below and fill in the answer box…

A:

Q: Find the general solution of the differential equation. y (4) + 2y"+y=7+ cos(5t). NOTE: Use C₁, C2,…

A:

Q: In which quadrant does the terminal point determined by t lie? Input I, II, III, or IV. (a) If…

A:

Q: Fill in each blank with an angle between 0° and 360° such that sin 200° = sin and cos 200° = COS

A:

Q: 11. A ball is thrown downward with a speed of 8 ft/s from the top of a 64-foot-tall building. After…

A:

Q: Solve the initial-value problem for x as a function of t. (2t³ − 2t² + t − 1) = 0 dx dt = 3, x(2) =

A:

Q: Find the equation of the tangent line to the graph of the function f(x): = x+7 x-8 at the point (0,…

A:

Q: 4. The region bounded by the curve y = x² + 1 and the line y = -x + 3 is revolved about the x-axis…

A: We have to find the volume of solid.

Q: If f (x) = x² - x and g(x)=√x-2, what is (fog)(x) ? Simplify your answer. x²-x-2 /x² - 2 2-x-2 O…

A:

Q: Evaluate the integral: -2 y√2y-y²dy

A: A detailed solution is given below

Q: (a) Find the derivative of f (x) = (x² + 2) (4x − 3) by first expanding the polynomials. Enter the…

A:

Q: A window has perimeter 10 m and is in the shape of a rectangle with the top edge replaced by a…

A:

Q: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

A:

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

A:

Q: 15) dy dx 1-x Find given that y = x²

A:

Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v= 26 m/s on Mars,…

A: NOTE: Refresh your page if you can't see any equations. . the initial velocity is the gravity of…

Q: Sketch the region enclosed by the given curves, y = 3x² and y = x² + 4. Find the area of the region.

A: Given curves are y=3x2 and y=x2+4.

Q: Solve the following system of equations.  2w + x + y+ 2z = −9 w − x + y+ 2z = 1 2w+ x+ 2y − 3z =…

A:

Q: Find the equation of the tangent line to the graph of the function f (x) - - Enter the exact answer.…

A:

Q: Prove that if A is an invertible matrix and B is row equiva- to A, then B is also invertible. ation

A:

Q: Evaluate the following integration.

A: Let Sinx=t

Q: Professor Calderon wants to build a rectangular fence along a pond so his dogs can go for a swim; he…

A:

Q: M8 k=1 сos лk Let ak > 0 represent the magnitude of the terms of the given series. Identify and…

A:

Q: Complete the table of function values. Do not use a calculator or tables. Evaluate the six…

A: NOTE: Refresh your page if you can't see any equations. . The first 3 rows are absolutely correct.…

Q: 1 1 If g' (3) = 6 and h'(3) = 20, find f (3) for f(x) = g(x) +h(x). f(3) = (Simplify your answer.)

A: This is a problem related to differentiation. Please follow the general procedure given below.

Q: Evaluate the integral: J 3 хе x³ e³x dx

A:

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: This question can be solved using the concept of graph of functions. We need to find solution set…

Q: A baseball is hit at an angle of with the horizontal and with an initial velocity of vo = 119 feet…

A:

Q: - Evaluate: [(5x¹ - 2x³ + 3x − 4)dx

A: We can solve the integration as below.

Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

A:

Q: If 0 = sec (0) csc(0) = - = tan(0) cot (0) = = 7 -T, enter exact values for each function. 4 7000

A:

Q: Question 2 of 15, Step 3 of 3 Consider the following polynomial function. f(x) = (x + Step 3 of 3:…

A:

Q: Find the unknown angles in triangle ABC for the following triangle if it exists. C=52° 30', b=25.4…

A: