Calculus question and answers for July 17, 2023
- Q Find the average value of f over the region D.f(x, y) = 4xy, D is the triangle with vertices (0, 0), (1, 0), and (1, 6)
- Q What is the exact value of cos(17?/12)?
- Q Evaluate the double integral by first identifying it as the volume of a solid. ??D (3x +2y+6)dA where D = {(x, y)| -1 ? x ? 1,-2 ? y ?...
- Q Given that f(x, y) = -x + 1 and D is the triangular region with vertices(0, 0), (0, 2), (6, 2), set up two integrals which evaluate the volume between...
- Q Evaluate the first partial derivatives of the function at the given point.f(x, y) = 8ex In(y); (0, e)f(0, e) =f(0, e) =
- Q The angle A is found in quadrant IV, such that sin A = -4 7 Determine the exact value of sec A (Decimal answers using a calculator will not be...
- Q Find F' (x) if F(x) = ??x+1 te? dt.Evaluate 1?? 1/x dx. Show all working.
- Q Simplify: (-13-5i) - (-18+2i) 5-7i -31 - 3i -5-3i 234-10i
- Q Use the disk method to find the volume of the solid of revolution formed by revolving the region underneath y = 2x around the x-axis from z = 0 to...
- Q Set up (but do not compute) the integrals that would represent the area of the region bounded between the two curves y = x and y = x + x....
- Q If A = 2yzi - (x + 3y ? 2)j + (x + z)k, evaluate ??(? x A). n dS, over surface of intersection of the cylinders x + y...
- Q Please estimate the area under the curve c(x) = 1 - x for 0 ? x ? 1 using 4 rectangles with width 1/4.Please show a sketch of the curve,...
- Q Write a formula for the function g that results when the graph of the functionf(x)=-7/xis reflected about the y-axis, horizontally compressed by a factor of 3, shifted 1 units left,...
- Q Determine a particular solution for the differential equationdy/dt + 2y = 2/? ??? [sin(3?) - 3? cos(3?) / ?] sin(?t) d?.
- Q Compute ?c F .dr where F(x, y) = (-y, x) and C is the counterclockwise oriented unit circle.
- Q Q.18 If the Laplace transform of y(t) is given by Y(s) = L(y(t)) = 5/2(s-1)-2/(s-2)+1/2(s-3)then y(0) + y'(0) =
- Q 2 For the given probability density function, over the stated interval, find the requested value.f(x) = x, over the interval [1,3]. Find E(x).A. 13/6B. 25/12C. 9/4D. 5/8
- Q Determine whether or not the function is a probability density function over the given interval.f(x) = 1/5x, [1,4]YesNo
- Q Determine whether the integral is convergent or divergent.?e^-5x dx (4 to ?)DivergentConvergent
- Q Use a definite integral to find an expression that represents the area of the region between the given curve and the x-axis on the interval [0, b].15) y = 6xCompute...
- Q A curve, described by x + y + 6y = 0, has a point A at (-3, -3) on the curve.Part A: What are the polar coordinates of A? Give...
- Q Let ? h(x)dx = 252 ? h(x) dx = ? 144Use the given definite integrals above to evaluate each definite integral below.? - 2h(x) dx =? - 3h(x) dx? h(x)/9...
- Q Consider?g(x)dx (1to-9) - ?g(x)dx(-8to-9)Use properties of definite integrals to rewrite the expression above as a single definite integral.
- Q Let g(x) = ?2dt (x to-2)Use the limit definition of the definite integral to evaluate the following expressions.g(-2) =g(-4)=g(5) =
- Q Let g(z) = ?( ? 7t + 6)dtUse the limit definition of the definite integral to evaluate the following expressions.g(-5)=g(2)=g(-7)=
- Q Use cylindrical coordinates.Find the mass and center of mass of the S solid bounded by the paraboloid z= 10x^2 + 10y2 and the plane z = a (a > 0)...
- Q Find E(x), E(x), the mean, the variance, and the standard deviation of the random variable whose probability density function is given below. f(x) = 1/72x, [0,12]
- Q The endpoints of a diameter of a circle are (-9, 6) and (-15, -2).(a) Write an equation of the circle in standard form.(b) Graph the circle.Part 1 of 2(a) An...
- Q Find the area of the region bounded by the graph of the equation.25.) y = 1 + 3x x = -2, x = 1, y = 0
- Q Expand the logarithm.log7(49x-?z)2+3 log7 x - 2 log7 z2+3 log7 x + 1 2log7 z2+3 log x + 1 2log zlog 49 + 3 log x + 1 2log z
- Q Consider the curve C parameterized by r(t) = (2t, -t2) for 0 ? t ? 1. Compute using the definition of the line integral ?cF.dr.
- Q (Coding) In this problem we will find the exponential of best fit (y = c1ec2t) through the points(1, 2), (2, 2), (3, 7), (4, 10), (5. 17).(a) Find the vector...
- Q Find the area of the surface.the part of the plane 2x + 13y + z = 26 that lies in the first octant
- Q Solve the equation and enter the solution set below. Enter the solutions in order from smallest to largest separated by a comma. Do not enter blank spaces in your answer.x(x...
- Q The following number is equivalent to 3 for what value of n?1/27
- Q When the expression is completely simplified, what is the exponent of 10?(10/2)-8x+6
- Q Solve the equation. Enter the solution below.
- Q Simplify the expression. What exponent of 3 results? Do not enter any blank spaces i in your answer.(3-4)3-x
- Q Find the standard equation for the positions of a body moving with a constant acceleration a along a coordinateThe following properties are known:i. ds dt = a,ii. ds dt =...
- Q The base of a solid is the region bounded by y=x' and y=4. Find the volume of the solid given that the cross sections perpendicular to the x-axis are: (a)...
- Q Consider the following function.f(x) = cos (8x 9)Find the derivative of the function.Use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has...
- Q Find the volume of the solid E described by the solution of this system of inequalities:x + y ? 1x +2 ?1y +z?1
- Q Find the moments of inertia I, I, Io for a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any...
- Q Find E(x), E(x), the mean, the standard deviation and variance, over the given interval, of the random variable whose probability density function is given below.f(x) = 1 4, [3,7]
- Q Use Newton's method to approximate the indicated solution of the equation correct to six decimal places.the positive solution of ex = x + 8
- Q Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.
- Q Use a double integral to find the area of the region.one loop of the rose r = 5 cos(3?)
- Q Find the derivative or indefinite integral as indicated.d/dt ? t9 - lnt 7t+4 dt
- Q Find the antiderivative of the given derivative.ds dt = 11t(4t - 1)
- Q Let f (x) = ? 4x + 1.Find the inverse of f (x).f(x)=-x+1/4f(x) = -4x 1Does not existf(x) = -4x+1
- Q Find the volume of the given solid. under the plane 9x + 2y - z = 0 and above the region enclosed by the parabolas y = x and x...
- Q Find the volume of the solid enclosed by the paraboloid z = 2 + x + (y - 2)2 and the planes z = 1, x = -3, x =...
- Q Find f'(x) and find the value(s) of x where the tangent line is horizontal.f(x)=x6(x-13)7f'(x) =Select the correct choice below and, if necessary, fill in the answer box within your choice.A....
- Q Find the area of the region bounded by the x-axis and the graph of the function. f(x)= = x/(6 + x)^2
- Q Find the area of the region under the curve y = f(x) over the indicated interval.f(x) = 4 (x + 5)^3 X 20
- Q Find the amount of a continuous money flow in which 1500 per year is being invested at 5.5%, compounded continuously for 40 years. Round the answer to the nearest cent.A....
- Q Find the accumulated future value of the continuous income stream at rate R(t), for the given time T, and interest rate k, compounded continuously. R(t) = $500,000, T = 17...
- Q Partial Fraction Decomposition(x - 11x-18)/x(x+3x+3)
- Q Find the accumulated present value of the following continuous income stream at rate R(t), for the given time T and interest rate k, compounded continuously.R(t) = 0.04t+100, T=10, k= 4%
- Q Solve for t to two decimal places.6 = e^ 0.05t
- Q Evaluate, in spherical coordinates, the triple integral of f(?, ?, ?) = cos , over the region 0 ? ? ? 2?, ?/3 ? ? ? ?/2,3 ? ?,? 6.
- Q Factor the polynomial completely. [Hint: Do not use space in your answer.]m - 125
- Q Evaluate the integral sinx from 0 to pi/2 by 1) using trapezoidal rule 2) Simpson rule Using 11 ordinates. Also estimate the errors by finding the value of the integral
- Q Find the area bounded by the given curves. Round to two decimal places.x=0, x= -2? y=e^x, y=0A. 0.96B. 0.86C. 0.68D. 0.78
- Q A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 15 e', where S'(t) is the rate at which sales are increasing,...
- Q Find the area of the shaded region.f(x)=x^4-8x +21x, g(x) = 6x+36
- Q Approximate the area under the graph of f(x) = 0.05x^4 -3.61x +95 over the interval [5,9] by dividing the interval into 4 subintervals.
- Q Find the area under the graph of f over the interval [1,9].f(x)= 8x +9, for x ?348 - 5/2x, for x>3
- Q Given y = 5x + 2x, find dy/dt when x = -1 and dx/dt = 3.
- Q A company determined that the marginal cost, C'(x) of producing the xth unit of a product is given by C'(x)=x4-2x. Find the total cost function C, assuming that C(x) is...
- Q Sin t and cost are given. Use identities to find the indicated value. Where necessary, rationalizedenominators.sin t =2/7, cos t = -3?5/7. Find tan t.
- Q Let C be the curve of intersection of the parabolic cylinder x = 2y, and the surface 3z = xy. Find the exact length of C from the origin to...
- Q Find the two x-intercepts of f(x)=?x and show that f'(x) = 0 at some point between the two x-intercepts. Determine whether Rolle's Theorem can be applied to f on the...
- Q d the area (in square units) of the region under the graph of the function f on the interval [-1, 2].f(x) = -x + 52square units
- Q Find the area (in square units) of the region under the graph of the function f on the interval [1, 2], using the FundamentalTheorem of Calculus. Then verify your result...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!