04/28/20

Minimizing calculus

A cylindrical can is to be made to hold 250 π cm3.Find the dimensions of the can that will minimize the cost of the metal to manufacture it.

04/28/20

Square Root Functions

Use the  button to create a square root function that has the following Domain and Range: Please solve to get the answer.D = [-5,∞)R = [-1,∞)

04/27/20

Use differentials to approximate the quantity.

Use differentials to approximate the quantity.30.0001246

04/27/20

Radian Trig Equations Help

Solve the trig equation for all values 0 ≤ x ≤ 72 sin 2x + √3 = 0

04/26/20

Consumerism Math

Company A rents cars for $27 per day and 9¢ per mile driven. Company B rents cars for $19 per day and 12¢ per mile driven. You want to rent a car for one day. Find the maximum number of miles you... more

04/25/20

Using Exponential Functions

A new car that sells for $18,000 depreciates 25% each year. Find the value of the car after 4 years to the nearest cent

04/25/20

Use T4(x), at an appropriate x-value, rounded to five decimal places to estimate cos(34°).

Let f(x) = cos(x). Then  T4(x) centered at a = π/6 is (sqrt(3)/2) - (1/2)(x-(π/6)) - (sqrt(3)/4)(x-(π/6))^2 + (1/12)(x-(π/6))^3 + (sqrt(3)/48)(x-(π/6))^4Use T4(x), at an appropriate x-value,... more

Use sigma notation to write the sum

1/(3{2}) + 1/(4{3}) + ... + 1/(8{7})Options:a. Σ(from n=1 to 6) 1/(n+2)!b. Σ(from n=0 to 5) 1/{(n+1)(n+2)}c. Σ(from n=0 to 6) 1/{n(n+1)}d. Σ(from n=1 to 4) 1/{(n+1)(n+2)}e. Σ(from n=1 to 6)... more

04/23/20

Complex numbers

Bored in quarantine? Solve (2-3i)^-1

04/22/20

Finding an unknown number

22 is to 100 as X is to 540,000,000What what is X?

Math-trig question

Reduce sin 40° cos 40° to a single function of one angle.a. cos 80°b. 1/2 sin 80°c. sin 80°c. 1/2 cos 80°

Math-trig question

Given: tan A = 3/4, and cos B = -24/25, for A and B in quadrant III. Find values of following: cos 1/2 Ba. -√ 5/2b. -√ 2/10c. 1/50d. -1/2

Solve the integral equation

Solve the integral equation tf(t) + ∫ f(Τ) dΤ =1 0Note: the capital T's are the greek letter Tau I'm not sure if that makes much of a difference but I thought I ought to clarify.

04/21/20

Find the particular solution of the differential equation that satisfies the initial condition(s).

f ''(x) = 3x2,    f '(−1) = −4    f(2) = 7

Find the quadratic polynomial whose graph goes through the points

Find the quadratic polynomial whose graph goes through the points (-2,10) (0,6) (1,13)f(x)=__x^2+__x+__i know the we substitute x and you to the equation and we get that c=6 but what do we do after?

04/19/20

consider the following limit

Consider the following limit. lim x→4 (7x + 4)(a) Find the largest δ > 0 such that |f(x) − L| < 0.01 whenever 0 < |x − c| < δ. (Round your answer to five decimal places.)δ = (b) Find... more

Logarithmic functions

Given f(x) = 4(2)^x . a. Find f-1(x). Note: Your function should be a single logarithm so use the change of base formula if needed.b. First graph f(x) dotted and then use inverses to graph f-1(x)... more

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