Basic Math question and answers for August 10, 2023
- Q (18) The region is bounded by y = 2 − x 2 and y = x.(a) Sketch the region.(b) Find the area of the region.(c) Use the method of cylindrical...
- Q The owner of a luxury motor yacht that sails among the 4000Greek islands charges $688/person/day if exactly 20 people sign upfor the cruise. However, if more than 20 people sign...
- Q 6.3 3a.  Find an approximation of the area of theregion R under the graph of the function f on theinterval [−1, 2]. Use n = 6 subintervals. Choose therepresentative points to...
- Q The joint density function for random variables X,Y, and Z isf(x, y,z)= Cxyz  if 0 ≤x ≤ 1, 0 ≤ y ≤ 2, 0 ≤z ≤ 2, andf(x, y,z) = 0...
- Q What is the meaning of Δy/Δx? What is its geometricinterpretation? What is the meaning of dy/dx? What is its geometricinterpretation?
- Q Find the flux of the vector field  F  = x i  + e2x j  + z k  through the surface S givenby that portion of the plane  2x + y +8z  =  7  in the first...
- Q Compute the derivative of the given vector field F. Evaluate the line integral ofF(x,y,z) = (y+z+yz , x+z+xz , x+y+xy )over the path C consisting of line segments joining (1,1,1)...
- Q Find the Maclaurin series for tan(2x) please
- Q Calculate the all of the second order derivatives of f(x,y)=x^4y- 〖3x〗^4 y^3+5y-10Let be f(x,y,x)=2x^5 yz^3-3x^(-4) y^3 calculate the f_xyz=?If f(x,y,z)〖=5e〗^(-xyz^6 ) +lnx calculate the f_yxz=?Let f(x,y)=cos(x^3 y) ise df/dx=? df/dy=?z=2x+y...
- Q Use Lagrange multipliers to find the point on the given planethat is closest to the following point.x − y + z= 6;   (2, 7, 3)
- Q RATES: 2.1 Q:1A) A stone dropped into a still pond sends out a circular ripplewhose radius increases at a constant rate of 2.3 ft/s.How rapidly is the area enclosed by...
- Q If cosα=0.082 and sinβ=0.802 with both angles’ terminal rays inQuadrant-I, find the values of cos(α+β) and sin(β−α)
- Q Use the Left and Right Riemann Sums with 3 rectangles toestimate the area under the curve of y=lnx on the interval of[2,10] Round your answers to the second decimal place.
- Q a)Find two positive numbers such that the sum of the first numberand twice the second number is 108 and the product is a maximumb)figure out the dimentions of a rectangular...
- Q Verify using an example that vector a + (vector b * vector c) isnot equal to (vector a + vector b) * (vector a + vector c) explainthe problem that...
- Q \sum _{n=1}^{\infty }\:\frac{4\left(-1\right)^n+2^n}{3^n}Determine whether the series is convergent or divergent. If it isconvergent, find its sum.
- Q 4. This problem is about some function. All we know about thefunction is that it exists everywhere and we also know theinformation given below about the derivative of the function.Answer...
- Q a) Determine whether the given differential equation is exact.If it is exact, solve it. (If it is not exact, enter NOT.)(2xy2 − 5) dx + (2x2y + 4) dy =...
- Q Show that the cylinder x 2 + y 2 = 4 and the sphere x 2 + y 2 +z 2 − 8y − 6z + 21 = 0 are...
- Q 1. Given the function M(t) = 2t3 - 3t2 - 36t, find the criticalvalues and determine, using both the second derivative test and asign chart, the nature of these values.2....
- Q Find the local maximum and minimum values of f usingthe First Derivative Test.f(x) =x2x − 2local maximum value    local minimum value
- Q Find the center of mass of the solid bounded by the surfaces z =x ^ 2 + y ^ 2 and z = 8-x ^ 2-y ^ 2. Consider that...
- Q a virus is spreading on a small deserted island. The totalnumber of people infected by the virus t days after the outbreak isgiven by the model p(t)=5200/(1+20^(-t+15)).the different parts can...
- Q A pentagon is formed by adding two sides of the samelength to attach an isoceles triangle to one side of a rectangle.If the area is fixed at A, what are...
- Q 2) A certain company does research and believes that thequantity, Q, that will be demanded by consumers is related to theprice by the function ?(?) = 25000 − 320?2.a) Find...
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