When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 120 seconds. t (sec) v (ft/s) lower estimate of distance traveled = upper estimate of distance traveled = 0 0 5 110 17 374 19 418 42 924 60 1320 67 1649 120 4140 miles miles Report answers accurate to 1 places. This is not meant to be a trick question...be careful of the UNITS!

Q: When doing calculus problems, how would I identify that I should do long division of polynomials in…

A: 1. Polynomial division: If you're asked to divide one polynomial by another, long division is…

Q: Answer this show all work this is calculus

A: Step 1: given that POI=x=2 f(1)=2 and f'(1) minimum {ie.f'(1)=0And F(x)=ax3+bx2+cx+1Step 2: first…

Q: Please help me with this question. I am having trouble understanding what to do. Please show all…

A: The objective of the first part of the question is to prove that the sum of two functions, f1 and…

Q: I need help on question 1?

A: 1. a) The exact component value of r projected onto s are ⟨7−1​,7−5​,73​⟩   b) The exact component…

Q: Fast please..

A:

Q: Combine the technique of completing the square with a trignometric substitution to evaluate the…

A:

Q: - Let F: R3 → R³ be a vector field F = (G, H, F) and let w = F dxdy + G dydz + H dzdx. Show that dw…

A: Step 1: Step 2: Step 3: Step 4:

Q: Sketch the graph is f(x) for all of these, they are apart of 1 question. I need poi, critical…

A: Step 1: Determine Points of Inflection: Since this function is a rational function, there are no…

Q: Determine if the vertex of the graph is a maximum point or a minimum point. y= -(x+3)² O Minimum O…

A: The objective of the question is to determine whether the vertex of the given quadratic function y =…

Q: 2. An ecologist began studying a certain type of plant species in a wetlands area in 2013. In 2015…

A: The objective of the question is to find the values of constants a and b in the exponential function…

Q: Practice

A: Step 1:

Q: Practice

A:

Q: 6

A: We need to find the roots between x = 0 and x = 1. ( i.e., we have to take initial value x0 = 0 )

Q: 29 What is the total area enclosed between the graphs of the functions f(x) = x³ + -x+1 and 1…

A: Step 1: Given the functions  f(x)=61​x3+32​x2−429​x+1,g(x)=41​x+1 To find the total area enclosed…

Q: Calculate the work done by the field F(x,y) = ⟨-2y, x⟩ in moving an object along the path which is…

A: To calculate the work done by the vector field F(x,y)=⟨−2y,x⟩ along the quarter circle path from…

Q: 8 Explain why the form 1 is indeterminate and cannot be evaluated by substitution. Explain how the…

A: Step 1 Indeterminate Form 1∞: When we have a limit of the form 1∞, it's indeterminate because the…

Q: (a) Sketch the following surface. Label (i) the intersections of the surface with the axes and (ii)…

A: a) sketch of the surface.The given surface is the combination of a circular cylinder with a…

Q: 19. The real number k lies between 0 and 1. The area of the quadrilateral formed by the lines y =…

A: The objective of the question is to find the area of the quadrilateral formed by the lines y = kx, y…

Q: find limit,if exists

A: The objective of the question is to find the limit of the expression 'x cos(1/yz)' as the variables…

Q: cos 5 t dt Find the indefinite integral. (Use C for the constant of integration.) sin t ×

A: Step 1:Step 2:

Q: Part 2: Find the error(s) and solve the problem correctly Find the volume of a sphere with a radius…

A: Step 1:​Let the region is bounded by the circle x2+y2=32Region is being rotated about x-axis to get…

Q: 16 Find the absolute maximum value on (0, ∞) for f(x) = 24 - 4x -

A: Step 1: Step 2: Step 3: Step 4:

Q: Which of the following is an antiderivative of (x² + 1)²? I. +x2_1 x III. 5 X +x2+In. +x² +In|x²|+3…

A: To find the antiderivative of (x2+(1/x))2 Expand it and then integrate each term separately. Here's…

Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

A: The given region is: (a).  The equation of line AB passing through the points: (-4, 2) and (3, -1)…

Q: A rancher has 200 feet of fencing with which to endese two adjacent rectangular corrals. What…

A: To maximize the enclosed area formed by the two adjacent rectangular corrals, let's denote the…

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Step 1: Given data  ∫e39−37tdt Note :  ∫exdx=ex+C Step 2: Calculation  ∫e39−37tdt−−−−−−−−−−−−−−−(1)…

Q: Practice

A: Approach to solving the question: Detailed explanation:

Q: In Exercises 1-8, write the equation of the plane with normal vector n passing through the given…

A: Step 1:​Plane having the normal vector: n=⟨−1,2,1⟩Plane is passing through the point: a=⟨3,1,9⟩​Step…

Q: Use the limit process to find the area of the region between the graph of the function and the x-…

A: Step 1:​Region is bounded by y=−4x+5,[0,1] Area =∫01​(−4x+5)dx​Step 2:​Using Riemann…

Q: 3. Find the length of the axes of the ellipse defined by the equation (x-3)² (y+2)2 25 + 9 1. If…

A: The objective of the question is to find the lengths of the axes of the ellipse defined by the given…

Q: This is the criteria: Your functionMaximum/minimum…

A: Step 1:

Q: 15. Determine the vector, parametric, and Cartesian equations of each of the following planes: a.…

A:

Q: Calculate the integral and write your answer in simplest form. 23 -dx ༼ 2¥ a» 5

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help on question 6.

A: Here we get,v(3)=[−2(3)+9,(7−3)3/2,31​32−3]=3i+8j∣v∣=(32+82)​=73​Then the direction motion will…

Q: Define two vector functions (t) 9 sin(t)+7 cos(t)] + (t³ - 15) k = = (t) 7 sin(t)+9 cos(t)] + tk = .…

A: Step 1:Step 2: Step 3: Step 4:  Thanks...

Q: Thank you!!

A: Step 1: Step 2: Step 3: Step 4:

Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

A: Step 1:Step 2: Step 3:

Q: Consider the differentiable function f(x) = ln x-x+8 on the closed interval 1 ≤x≤2.9. What is the…

A: For any query with the solution, please ask in the comment box.

Q: An ice cube tray filled with tap water is placed in the freezer, and the temperature of the water is…

A: Given,Temperature of water is changing at the rate of -9e-0.2t degrees Fahrenheit per hour. a) To…

Q: A laboratory uses 400 white mice each year for experimental purposes. It costs $6 to feed a mouse…

A: Step 1:

Q: 7

A: Step 1: A)f(x)>0 at x=x3,x4B)f'(x)>0 at x=x2,x3( where ever the curve will be increasing the…

Q: i) Domain and range ii) Intercepts iii) Critical Points and determine if they are local max, local…

A: The question is asking for a comprehensive analysis of a function. This includes finding the domain…

Q: What point (if any!) of the curve h(x) = x^3, does the normal have a slope of 15

A: The objective of this question is to find the point on the curve h(x) = x^3 where the normal to the…

Q: A car traveling in a straight line from its starting position at a speed of 65 miles per hour for 3…

A: The function v(t) represents the velocity of the car at time t (in hours) during its travel. Since…

Q: (Something going wrong with submission but let me know if u see this ques) A 74 N weight is…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Step 1: Step 2: NOTE : FIRST PAGE IS THE INTEGRAL B AND SECOND PAGE INTEGRAL A Step 3: Step 4:

Q: 0 -2 has characteristic equation The matrix A det [0 -> a11 a12 = = a21 a22 1 -2 -2 = 1 -2-X…

A: Step 1:

Q: Let f'(x)=ex+x and let H(X) be the equation of the tangent line to f(x) at x = a. If H(x) is used to…

A: To find the equation of the tangent line to the function f(x) at x = a, we need to use the…

Q: Determine the Cartesian equation of the plane that contains the line F= (2, 3, 2) + (1, 1, 4), te R,…

A:

Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the function…

A: Step 1: Step 2: Step 3: Step 4: