Basic Math question and answers for August 09, 2023
- Q 3A.Find the domain and range of the function. (Enter your answerusing interval notation.)h(x) =8x + 7DomainRange3B.Determine whether y is a function of x.xy + x3 −2y = 0Yes, y is...
- Q sketch the graoh of the polynomial function f using trchniquesdescribed in this section. f(x)=x2 (x2-4) (x+2)
- Q (Optimization problem) You have $500 to buy materials to build abox whose base length is seven times the base width and has no top.If the material for the sides cost...
- Q Â For this problem, consider the function f(x) = x3 - 9x2 +15x + 3.A. Determine the intervals on which f(x) is increasing and intervals on which f(x) is decreasing.B. Determine...
- Q Usea linear approximation to approximate cubic root of 26 using thefact the fact that cubic root of 27 equals 3
- Q Consider the following table of values, where t is the number ofminutes and Q ( t ) is the amount of substance remaining in gramsafter t minutes. t 0 1...
- Q Determine whether the lines:L1:x=19+5t,y=7+4t,z=13+3tandL2:x=−8+6ty=−17+6tz=−8+6tintersect, are skew, or are parallel. If they intersect,determine the point of intersection.Point of intersection ( , , )I know they intersect, I just don't know where...
- Q 1. For the first year, the average smart phone was approximately$250, and sales for that year were forecast to be 997.7 million.For the second year the average smart phone was...
- Q Given that profit P(x) = −0.3x2 +12x −10,Use the differential of P to approximate the change in profit ifproduction is increased from 15 to 16 units?Find the actual change in...
- Q In exercises 1–4, verify that the given formula is a solution tothe initial value problem.2. Powers of t.b) y ′ = t^3 , y(0) = 5: y(t) = (1/5)t^(4) +...
- Q FIND THE GENERAL SOLUTION TO THE DE: Yâ€â€™ + 4Y†– Y’ –4Y = 0                                         COMPUTE:              L {7 e 3t – 5 cos ( 2t ) – 4 t 2}                COMPUTE:             L – 1...
- Q 1.Find an equation for the plane containing the two (parallel)lines v1 = (0, 1, −9) + t(4, 9, −3) and v2 = (9, −1, 0) + t(4, 9,−3).2.Find a parametrization...
- Q Let f(x)=4x^3+21x^2−24x+5. Answer the following questions.1. Find the interval(s) on which f isincreasing.Answer (in interval notation):2. Find the interval(s) on which f isdecreasing.Answer (in interval notation):3. Find the local maxima...
- Q Find f.f ''(x) = 4 − 12x, f(0) = 6, f(2) = 10
- Q A 15 ft ladder leans against a wall. The bottom of the ladder is3 ft from the wall at time t=0 and slides away from the wall at arate of...
- Q Scientific studies suggest that some animals regulate theirintake of different types of food available in the environment toachieve a balance between the proportion, and ultimately the totalamount, of macronutrients, consumed....
- Q Trigonometric Functions.Why do they have asymptotes and why do they have intervals?
- Q consider a standard deck of 52 cards . determine the number oddistinct SEVEN cards hands which includea. no restructionb. only clubsc. 3clubs and 4 diamondsd.1 jack, 3 queen
- Q suppose that M,m are the absolute maximum and the absolute minimum,respectively, of the function 8.27(2cost+sin2t) on [0,pi/2]. findM+m correct to two decimal places
- Q find the x-coordinate of the point, correct to two decimal places,on the parabola y=3.08-x^2 at which the tangent line cuts from thefirst quadrant the triangle with the smallest area.
- Q For the following function, find the local maximum and minimumvalues; and saddle point(s).f(x,y)=(8x−8y)/(ex2⋅ey2)
- Q 1) Let f(x) = e^(xyz) . Find: fxx, fyy, fzz, fxy, fxz, fyx, fyz,fzx, fzy.2) Use the Chane Rule to calculate derivatives ∂z/∂s and∂z/∂tz = e^xy tan y, x =...
- Q Find the absolute maximum and the absolute minimum ofthe function f(x,y) = 6 - x² - y² over the region R = {(x,y) | -2<= x <= 2, -1 <=...
- Q Given the funtion g(x,y) = (e^x)(y)+sin(x/y).1. Find the linearization of g(x,y) at the point (1,2).2. Estimate the value of g(1.01, 1.99).
- Q 8. Determine the centroid, ?(?̅,?̅,?̅), of the solidformed in the first octant bounded by ?+?−16=0and 2?^2−2(16−?)=0.
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