Completely factor the polynomial f(x) = x +7x? + 10x.

Q: PROBLEM 5: Find the general solution to the given differential equation using a method of your…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The Solution of the…

Q: Two skaters push a person sitting in a chair along the ice. The forces exerted by the skaters are…

A: We have to find the resultant vector.

Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

A:

Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L -1| х-5 (х-7)…

A:

Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

A:

Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

A:

Q: 3Vaz +2az (Simplify this into both radical form and exponential form.)

A: Here we will simply the given expression in radical and exponential form,

Q: Use the alternative form of the dertvative to find the dertvative at x = c (If it exists). (If the…

A:

Q: 8) Find the limit (exact value) a) lim Vy - 3y – y ytoo tan ax b) lim- x→0 sin bx (a ±0,b± 0)

A:

Q: 9) Sand falls from an overhead bin, accumulating in a conical pile with a radius that is always…

A:

Q: XP -2X

A:

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A:

Q: A right triangle has side lengths a, b, and c as shown below. Use these lengths to find tan x, cos…

A:

Q: 3x2+2 dx 0 2x2+4x+3 In |2| 2 In |3| 2 Option 1 Option 2 In |3| 2 In |2| 3 Option 3 Option 4

A:

Q: 1. Using proof by contradiction, prove Let n be an integer. If n' is even, then n is even.

A:

Q: Evaluate the integral: he+1 S ) dt t+1. *Input answer as decimal. Round- off to 2 decimal places.

A:

Q: The curve with equation y? = 2x³3+ 10a² is called a Tschirnhausen cubic. Find the equation of the…

A:

Q: 3. If A is a vector representing 50 km/h northeast, what is 3 A ? c. 30 km/h northwest d. 30 km/h…

A: Given problem:- If A is a vector representing 50 km/h northeast, what is (3/5)A ? a. 30 km/h…

Q: whe'eh -2X Ge -8e ntural exponentioel funebon/ show all steps

A: This can be solved as follows:

Q: do sed Form ( Formula) tor the eacn part, tind a nth 1- In partial Sum OF the series and determine…

A:

Q: A population of 45 foxes in a wildlife preserve quadruples in size every 15 years. The function…

A: We have to calculate  value of y

Q: 8. Evaluate * y" – 3y' + 2y = e3t ; y(0) = y'(0) = 0 e2t -e3t + 2 et 23t -e2t + 2et 2 O A. e3t -e2t…

A:

Q: Suppose F(4) = 2, F(5) 7, and F'(x) = f(x). - (x° + 10f(x) + 1) dæ

A: Follow the procedure given below.

Q: Evaluate [², dx V4-x2 2.

A:

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: Given that The sides Equilateral triangle are increasing at a rate of 10cm/min.

Q: 4. The range of the function h(x)=0.5f(-x) +2 where f(x) = 4* is: A) {y eR|y>2} B) {yeR|y>0.5} C)…

A:

Q: Find the one-slided limit (If it exists). (If the limit does not exist, enter DNE.) -6 lim x-4 (x-…

A: Given limx→4- -6(x-4)2 Apply the constant multiple rule limx→4- c f(x) = c limx→4-f(x) with c=-6…

Q: For the polynomial, one zero is given. Find all others. P(x) = x3 + 4x2 - 10x + 12; 1+ i О А. 1-і, 6…

A: Topic: Finding roots of a cubic polynomial

Q: noitel arctan 2x 37. lim x→0+ In x

A:

Q: Suppose that f(x, y) 2æ + 4y on the domain D = {(x, y) |1< x < 2, x² < y < 4}. D Then the double…

A: Given problem:-

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a

A:

Q: Graph the conic section. 36x? - 4y? - 216x +24y + 144 = 0 O A. OB. Oc. OD.

A: Given: 36x2-4y2-216x+24y+144=0

Q: 3. By hand, find all the solutions (if any) of the following linear system using the augmented…

A:

Q: Which equations parameterize the line from (3, 0) to (-2,-5) so that the line is at (3, 0) at t = 0,…

A: We know that the parametric equations of the line from x0, y0 to x1, y1 are given by xt = x0 + x1-x0…

Q: Q4) Solve the boundary value problem y - 3y + 2y = 0 with y'(1) = 1, y(3) = 2e* - e? h = 0.5 %3D

A:

Q: Question Given F(x) below, find F' (x). I o+2) di F(x) = Provide your answer below: F(x) = O…

A:

Q: 1 (27) Evaluate the integral: (5t + 4)2.7

A:

Q: An object moves such that its velocity in meters per second is given by v(t) = cos t. What is its…

A:

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

A:

Q: An earthquake was recorded with an intensity which was 630,957 times more powerful than a reference…

A: Given that I=630957×I0

Q: rable below shows interva IS where f(x) and f"(X) ure Positive und negati ve. COpy the áxis beluw,…

A:

Q: y"+y'=t ; where y(0)=1 and y'(0)=-2||

A: Here, the given DE is: y''+y'=t Taking Laplace transform on both the side:…

Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.3 cm/min.…

A:

Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: SS, x?/9 – y2 dA; Ris the region bounded by the circle x² + y? = 9. R

A:

Q: Question 3 Vx2 + 4dx 2²+4 Vx² + 4+ 2 In + C ava? + 4 +2 ln + C eva? +4 – 2 ln +C -글av고 +4-2n +C «…

A:

Q: Q3: A right circular cone has the radius of the base and the height which at a given instant (to)…

A:

Q: Find the Rlemann sum for f(x) = x + 3x over the Interval [0, 8] (see figure), where %3D *. = 0, x, =…

A:

Q: (23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a…

A: Use volume of right circular cone and differentiate it