Mathematics

I need help with a math question involving finding the equation of the tangent line

Q: Find an equation of the tangent line to the curve at the given point. y = (8)(x^2) - 9(sqrt(x)) at the point (1/4, -4)-find the derivative of the equation then plug in 1/4 and that will give u the

How do you differentiate y = 2x^7 + x^2 - 3/x^5 + x^1/4 - 54e^x + 16

y = 2x^7 + x^2 - 3/x^5 + x^1/4 - 54e^x + 16 y = 14x^6 + 2x + 15/x^6 + (1/4 / x^3/4) - 54e^x (remark: d[e^(f(x))]/dx = f(x)*e^f(x) )

Can someone solve the question below

A ferris wheel had a diameter of 250 ft. its 36 passenger cabs could hold a total of 2160 people. if the cabs were evenly spaced how far apart would they be?-You basically need to get the circumferenc

Help with how to do these equations on expanding etc

*this isnt my homework* how to expand the following expressions? a) (8 - d)^2 b) -5x(7 - 2x) c) 3(x - 4) + 10-Hi, a) (8 - d)² = (8 - d)(8 - d) = 8(8 - d) - d(8 - d) = 64 - 8d - 8d + d² = d² - 16d

What's 30% of $25? (Frikin 20 characters. Grrrrr!!!!)

I know, I suck at percentages, but Im trading in a few games at GameStop tomorrow so I can get Batman: Arkham City and they have a deal where if you trade in your old games you get a 30% bonus extra s

Help With Pre-Calculus!! Half/Double Angles and sum/difference trig identities

Sinα = 4/5 and Cosβ = 5/13 Sin2α Cos2α Sinαβ Tan2α Cos1/2β Tan1/2α Sin1/2α Can You Please show me how to do this practice problems step by step!! :) i have a test on this tomorrow and can seem to u

Quick math logarithm problem

Solve for X, to two decimal places: (4000) (1.045)^[.07x] = 5000-Divide both sides by 4000 (1.045)^[.07x] = 1.25 Log (base 10) of 1.045 = 0.01911629044707 Log (base 10) of 1.25= 0.09691001300806 0

Calculus optimization help

Suppose that light reflects off a mirror to get from point A to point B as indicated in the figure. Assuming a constant velocity of light, we can minimize time by minimizing the distance traveled. Fin

Linearly independent proof

Let a and b be non-zero scalars. prove that if {x,y} are linearly indepenent vectors, then so are {ax+by, ax-by}-Suppose c_1 and c_2 are scalars with c_1 (ax + by) + c_2 (ax - by) = 0. Regrouping th

I really need help with a math question involving finding constants

Q: Find constants A and B so that the function y = Asin(x) + Bcos(x) satisfies the differential equation y + y - 2y = sin(x). Can someone explain how to solve this equation?-y = Asin(x) + Bcos(x) y

What is the vertex of the function x2 - 6x + 8 = 0

you can also use this formula to get the vertex. a(x+b/2a)^2+4ac-b^2/4a if you plug the numbers 1(x-6/2(1))^2 +4(1)(8)-(-6)^2/4(1) you simplify you get 1(x-3)^2-1 vertex is (3,-1)-Solve quadratic

What is the best way to find an oblique asymptope of a curve

I know how to find the horizontal asymptopes, but whats the best way to find an oblique asymptope thats relatively simple? An example curve you could do it on would be y^2 = x^4/(x^2) - 1 Thanks!-Th

(cot10-1)(cot35-1)=2 prove it

∵ 10 + 35 = 45 ∴ cot ( 10 + 35 ) = cot 45 ∴ ( cot 10 + cot 35 ) / ( cot 10 cot 35 - 1 ) = 1 ∴ cot 10 + cot 35 = cot 10 cot 35 - 1 ∴ cot 10 cot 35 - cot 10 - cot 35 = 1 ∴ cot 10 ( cot 35 - 1 ) - c

Prove: (cos(x)+cos(y))^2 = 2+2cos(x+y)

I copied this up a few minutes ago incorrectly, sorry.-(cos(x) + cos(y))² ≟ 2 + 2cos(x+y) (cos(x) + cos(y))² ≟ 2 + 2cos(x)cos(y) - 2sin(x)sin(y) (cos(x) + cos(y))² ≟ (sin²(x) + cos²(x)) + (sin²(y) +

Crossmultiplication: x/(x+27)=11/23

Hello Ive been having trouble crossmultiplying with variables and was hoping someone here would be able to help me out a bit, here is the equation: x/(x+27) = 11/23 Thanks, Will.-it gives aftr cross