04/26/21

algebra 2 question

x3+4ax2+4a2x+a3 = 2a+x

04/25/21

The altitude of a triangle

Altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 1.5 cm² /minute . At what rate is the base of the triangle changing when the... more

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Given the following system of equations,a) build an augmented matrix to represent the system of equations,b) show the elementary row operations that lead to a reduced row form, andc) find the... more

ive tried starting this but i got lost its precalculus

Find the inverse function of f(x)=11+3^√x f^-1(x)= 

04/22/21

Calculus Problem

Consider the function f(x)= x^5+7sqrtx.Let F(x) be the antiderivative of f(x) with F(1) = -4.Then F(x) =

Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=4x^2−x^3 and y=0.

Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=4x^2−x^3 and y=0.(a)   A typical shell has radius x, circumference 2πx, and height f(x)=   (b)   So, by... more

04/20/21

For the following functions: find a) left hand Riemann sum by calculator, b) right hand Riemann sum by calculator

8) f(x) = x^2 + x from x =1 to 6 with n= 509) g(x) 3√X from x = 0 to 8 with n = 10010) h(x) = ln x from x = 1 to x = 11 with n = 20011) k(x) = e^-x from x = 0 to 10 with 25012) m(x) = 2 sin x from... more

04/16/21

Write the definite integral for the summation:

04/16/21

Calculus Problem

Find f(x) if f'(x) = 4sqrt(1-x^2) with initial condition f(1/2) = -10f(x) =

04/15/21

Calculus Question

Find the average value of g(t)=2t+7 over the interval [0,7]. Round your answer to the nearest hundredth. Average Value: 

04/15/21

Given ∠K ≅ ∠ J and MR = NR; Prove: MK = NJ

04/15/21

Calculus problem: Find all points of horizontal tangency. (Round your answers to four decimal places.)

r = 6 sin 𝜃 cos2 𝜃      0 ≤ 𝜃 < 2𝜋Find all points of horizontal tangency. (Round your answers to four decimal places.)(r, 𝜃) = (0, 0) (Smallest 𝜃-value)(r, 𝜃) = ? (r, 𝜃) = ? ... more

Curve Sketching Question, Please Help, Thank you.

 Use the algorithm for curve sketching to sketch the function f(x) = x3 - 9x2 +15x +30. To ensure to show y', critical point, increase and decrease intervals, maximum and minimum, y'', concavity,... more

04/14/21

Calculus Problem

A rectangle has its two lower corners on the -axis and its two upper corners on the curve y=1/(7+x^2)What are the dimensions of such a rectangle with the greatest possible area?Base = ___height= ____

04/13/21

NEEDED ASAP: (2x - 2/(x^2 - x - 12)) = (2/(x + 3)) - (3/(4 - x))

Step by step please. I also want to know whether or not there is an extraneous solution.

04/13/21

Estimate the area under the graph of f(x)=x^2+x+1 over the interval [3,7] using five approximating rectangles and right endpoints.

Find Rn Repeat the approximation using left endpoints.Find LnHint : Report answers accurate to places. Remember not to round too early in your calculations.

04/13/21

Calculus Question

Assume x and y are functions of t. Evaluate dy/dt for 2xy-4x+4y^3=-28, with the conditions dx/dt=-12, x=4, y=-1.dy/dt=?

04/12/21

Find the x-value where the maximum value of y = sinx−2x^2 occurs.

When you need to solve for an expression equal to zero, use Newton's method with x=0 as your first guess and enter your second guess as the answer. Enter your answer as a fraction.

04/12/21

Find the x-value where the relative maximum of y = e^x/5−x^2 closest to x = 0 occurs.

When you need to solve for an expression equal to zero, use Newton's method with x=0 as your first guess and enter your second guess as the answer. Enter your answer as a fraction.

04/12/21

In the diagram shown, /\ABC is drawn along with point D. A(-6,6), B(-6,1), C(-2,1), D(1,-3)

(a) Plot /\A'B'C', the image of /\ABC after a clockwise rotation of 90 degrees about point. Give the coordinates of the new vertices below.(b) Denise proposes the following transformation rule for... more

my question has to do with mixed integrals

how do you take the integral of∫1/(x√x2−4 dx)

Write as an algebraic expression (no trigonometric functions) Assume x and y are positive and in the domain of the given inverse function cos(sin−1 𝑥 − cos−1 𝑦)

Hello I am a bit confused on this question, if you could please give the steps, because I’m not sure where I made the mistake

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