Mathematics

Equation for tangent plane at a point on the graph of z=f(x,y)

Find an equation for the tangent plane at the point P (3, 1, 8) on the graph of z = f(x, y) when f_x(3,1)=1 and f_y(3,1)=4-Since f(1, 8) = 3, the equation of the tangent plane through P is z = f(3,1)

Will u help with my math

On mr.robinsons last history test for tie marking period the average score was 98. Forty students took the test, 39 students scored 100. What was the score of the student who did not score 100 on the

If (a^x)^2/3=1[numerator]/a^2[denominator] then what is the value of x

options : a.1 b.2 c.-3 d.-1-Hint 1: (a^m)^n = a^(mn) Hint 2: 1/a^n = a^(-n) Hint 3: if a^m = a^n and a≠±1 then m=n (a^x)^2/3 = 1/a² : Hint 1 , Hint 2 a^(x * 2/3) = a-² : Hint 3 (only if a≠±1 ) (x * 2

Find the marginal profit.

Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)= -x^2 + 8x - 14. Find the marginal profit at x= -1. A. -200 B. 800 C. -700 D. 600 How do I solve it?-P(x) =

Given that log base of 2 3=x,log base of 2 5=y and log base of 2 7=z what is log base of 2 15/7 in terms of...

..in terms of x,y,and z? a.2^x times 2^y divided by 2^z b.x+y-z c.xy/z d.1+x-z-ans is b) x+y-z _2 refers to base 2 x+y-z = log_2 (3) + log_2(5) - log_2(7) = log_2( 15) - log_2(7) = log_2 (15/7)-giv

If log(x-3)+log(x+4)-log x=log 5 then the solution set for x is?:

a.{2,6} b.{-2,6} c.{6} d.{-6,2}-log(x-3)(x+4)-logx=log5 logx^2+4x-3x-12-logx=log5 logx^2+x-12/x=log5 (x^2+x-12/x)=5 x^2+x-12=5x x^2-4x-12=0 (x-6)(x+2)=0 x= -2, 6 Make sure both solutions work! Answer:

What am i doing wrong? (differentiate trig function)

I have to differentiate (1/2)[tan(5x)] My work reads: let u = tan(5x) dy/dx = 5sec²(5x) let y = u/2 du/dx = (u^(-1))/2 = 1/2u dy/dx = 5sec²(5x).1/2u =5sec²(5x) / 2(tan(5x)) =5/cos²(5x) / 2sin(5x)

How would you multiply √7 by 8

How would you multiply √7 by 8? What is the answer and how did you come up with that answer? Thanks!-First, you could rewrite 8 as √64 then √7 x √64 = √448-This is a very straightforward answer. the

Probability: Rolling a 10-side dice, 10 times ending in 90+

So, 1 10-sided dice, rolling it 10X, getting a number higher than 90? Hm, so my guess is since getting a 10 is 1/10 or 10%...and then multiplying it by 10 again is gonna be 1/100 so 1%...but...its mor

Exponential growth function.Quite challenging.. BEST answer to first correct one

In a town whose pop. is 2,000, a disease creates an epidemic.The number of people N infected t days after the disease has begun is given by the function N(t)= (2000)/ ( 1+16.9e^-0.4t) How many peopl

Perform a rotation of axes on 3x^2 -2√(3xy) + y^2 + 2x +2√(3y) = 0

Im not too sure about this problem.-Assuming you mean 3x^2 - 2√3 (xy) + y^2 + 2x + 2√3 (y) = 0: Presumably, you want to rotate the axes so that the quadratic no longer has a cross product xy term. T

Vector Spaces: Basis for the column space

I need some clarification on finding the basis for the column space of a matrix. My steps are as follows example: Let matrix A be 3 by 3 matrix Step a.) take the row reduced echelon form of the matri

I just CAN'T pass Algebra 1

Im a sophomore in high school and I just CANT pass it! Ive always hated Math Im good at Multiplying etc basic stuff but I just dont get it. I dont understand one thing when the teacher explains it and

Is my anwser correct?? law of sine

Find the value of e. http://curriculum.kcdistancelearning.com… Sin40/12 = Sin55/e e Sin40 = 12 Sin55 e= 12 Sin55/ Sin40 e= 15.2-Yes, the answer is correct.

A trench: 1km long, 4 metres wide and 2 metres deep. How many square feet is that

When the Red Army entered Kerch, in January 1942, the Baguerovsko trench was investigated. It was discovered that this trench-1 kilometer in length, 4 meters in width, and 2 meters in depth-was filled