Calculus question and answers for July 19, 2023
- Q what does the following integral equal?-3296[6f(x) + 2g(x)-h(x)]dx =-32? (-96-32-96f(x)da = 8and9(z)dz = 18-96and-32[h(x)dx=24
- Q If cos (t) = -3, evaluate cosevaluate cos (?t) and sec (?t)8cos (-t)
- Q Consider the function f(x) = 5x0 + 8x - 3x - 5.An antiderivative of f(x) is F(x) = Ax" + Bxm + CaP + Da whereA isand n isand B...
- Q 1. Evaluate fff8zdV where E is the region bounded by z = 2x + 2y-4 and z=5-x - y in theE1st octant.
- Q Use Matrices A, B, C, and D to answer questions 10-15 when possible. When not possible explain usingmathematical language.3 72[-3 -14 # #--+]A:B= 4 9-1 5 D 2 0-2 123...
- Q Jan and Monica are both solving a problem that involves an angle of depression of 22.5 from an airplane toa car.Jan draws a triangle that looks like this:22.50Monica draws a...
- Q Solve the following I.V.P. using Laplace Transforms:y" - 4y= u?(t);y(0) = 0, y'(0) = 0.
- Q Find the formula for the area of the inner loop of r = 4 sin ? 2. You do not need to actually compute the integral.
- Q Set up the limit definition for the area in the first quadrant under f(x) = 3?x on the interval [0, 8].Translate the limit definition to the structure of the definite...
- Q R is the region bounded by the functions f(x) = - x/2 + 4 and g(x) = x/4 - 7 over the interval [a, b] where a = -5 and...
- Q Estimate the area under the function f(x) = (2 + cos(x)) on the interval [0,2?]to 3 decimal places by using a trapezoidal Riemann sum and then again with Simpson's Rule....
- Q Stacy's credit card has an APR of 18 percent. What is the periodic rate?(A) 18%(B) 1.5%(C) 1.8%(D) 15%
- Q The line y=x+2 and the curve y=x^2 contain bounded region between them. Find the volume of the solid generated by revolving the region about the x-axis.A) 72?/5B) 64?/5C) 81?/5D) 47?/5
- Q Determine the area of the region bounded by the curves x = (y^2) and x + 2y^2 = 3.A) 4 sq unitsB) 1 sq unitsC) 2 sq unitsD) 3 sq...
- Q Find the area of the region bounded by the equations y = x^2 and y=6x - x^2.Note: theses are conics.A) 9 sq unitsB) 27 sq unitsC) -18 sq unitsD) 6...
- Q The curve y^2 = x, the line x = 2, and the x-axis form the sides of the bounded region. Find the volume of the solid generated by revolving about...
- Q Find the area bounded by the curves y=6x - x^2 and y= x^2 - 2x.A)128/3B) 57/3C) 64/3D) 101/3
- Q The area bounded by the curve x^2 = 8y, the line y = 0, and the line x = 4 revolves about the y-axis. Find the volume.A) 12?B) 16?C) 18?D)...
- Q Suppose v(t) = -t + 4t - 6 on the interval (1,5). What is the displacement on [1,5]?1) 12.3332) 16.7333) 17.3334) 56.767
- Q Suppose a function y=f(x) is given with f(x)?0 for 0 ? x ? 4. if the area is bounded by the curves y=f(x), y=0, x=0 and x=4 is revolved about...
- Q Find the area bounded by the parabola x^2 = 4y and line y = 4.A) 10.67B) 9.167C) 18.33D) 21.33
- Q A certain butterfly population changes at the rate B(t) = 16.2(1.4)? butterflies per week, where t represents time in weeks. If the butterfly population is 122 at t=0, then how...
- Q (t) (hours) R(t) (gallons per hour)0 9.63 ...
- Q A room is being heated at the rate of r(t) = (0.3t)/, where r(t) is measured in degrees Fahrenheit per minute. If the temperature in the room at 6:00 AM...
- Q (a) Sketch the function f(x)=x- 4 from x= -2 to x = 10.(b) Approximate the signed area for f(x) on (-2, 10) by using right hand sums with n =...
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