1. d²y dt2 dy + 6- +8y=2e-3t dt 2. d²y dy +4 dt² dt +13y = e-t 3. d²y dy +7 +10y=e-2t dt2 dt

Q: Use Laws of Exponents to rewrite and simplify each expression. (b) (2x-2)-³x-3 x3.xn xn+1 (c)

A:

Q: Using integrals, find the area bounded by the following:  f(x) = 4x2 + 20 g(x) = 8x + 32 x = - 4…

A:

Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

Q: A. Determine if p = ï - 3k and q = 61 - 3j - 4k are parallel, orthogonal or neither. 3. Find the…

A:

Q: 4. 2x³y = y (g2 + 3z2)

A:

Q: Let f(x) = 2x³ - 3x² - 120x+7. a. Find all points on the graph of f(x) at which the tangent line is…

A:

Q: Question 4 A conical water tank has its top at ground level (consider this to be the x-axis) and its…

A: The given problem is solved below in detail.

Q: Find the determinant of the matrix, O2²-12-13 O22-12+13 O²+12+13 Oλ-13 2-11 4 6 2-1

A: Determinant , λ-11λ-1-24 λ2-11λ-λ+11-24 λ2-12λ-13

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A:

Q: Problem r7 ¯7² xVx² - xVx² 0 + 1 dx

A: Topic:- application of integration

Q: (c) Show that the function is a solution of the differential equation (−1)" x2n f(x) = Σ (2n)! n=0…

A:

Q: Consider the function f(x) = 2 - 7x², −4≤ x ≤ 1. - The absolute maximum value is and this occurs at…

A:

Q: Let K/L be ideal of quotient ring R/L. If K is prime ideal and contains L, then K/L is prime ideal.…

A:

Q: - First Order Linear Differential Equation Direction: Solve the general solution of the following…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

A:

Q: Evaluate (x²sin y-xcos(y)) dy A x²(1+ sin(1))-xcos (1) + C B x²(1-cos(1))-xsin (1) + C C 2sin…

A:

Q: HOME ASSIGNMENT #01 cosec cosec² x - 2009 A(X) 73. If -dx = - 2009 COS X (B(x)) 20 [0, 2лs (where…

A:

Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2et…

A:

Q: HOMEWORK 16: Graph the following equations. 6. r = sin + 2cos² 0 7. r² = sin 20 - 3cos

A: we have to graph the given polar coordinates. let r is on x axis and theta on y axis.

Q: (b) Find the area of the region that lies inside the first curve and outside the second curve. r = 1…

A:

Q: The graph below is the function f(x) 5+ 4 -5 -4 -3 -2 -1 1 2 3 4 Find lim Find lim Find lim Find…

A:

Q: Evaluate So * sin ada

A:

Q: Find the slope of the tangent line to x+y=10 at (1,8).

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Question R is the region bounded by the functions f(x) = + 1 and g(x) = - +7 over the interval [a,…

A:

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.

Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: FIERNICE. B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Solve the homogeneous differential equation

Q: dy = 2e-2y, y(0)= 5. Solve the initial-value problem: dx 3 Write Answer In Simplest Form And Show…

A: We need to solve D.E.

Q: Q4:Evaluate 1) lim (1-²) x-0 \sin x

A:

Q: lim x-0 x - tan x3 X

A:

Q: For the given function f(x,y)=x²y³+3x³y, find a flay (A) 2xy³+9x²y B) 2+18xy C) 6xy²+9x² D 3x²y²+3x³

A: Topic = Derivative

Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: Evaluate 7/2 Iva each of the following:- √2 √ tane do

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: The domain of f(x)=y=. x-1 x+2 is

A:

Q: dy Use implicit differentiation to determine given the equation x² + y² = 9. d.x dy dx =

A: In implicit differentiation, we differentiate each side of an equation with two variables (usually x…

Q: cln x e L L ² L the we Evaluate yez dz dx dy.

A: Given problem:-

Q: 5. Find the surface area of x = e³ that is of revolution about the y-axis on 0 ≤ y ≤ In 7.

A:

Q: 6. Use the definition, determine whether the function g(x) = x = 2. Justify the conclusion. x² -…

A: The solution is given in the next step.

Q: Find the area of the surface obtained by revolving the graph of x = y³ on the interval [0,1] about…

A:

Q: A region is bounded by the y=x² and y=6x-x² Which of the following integrals would approximate the…

A: We can solve this as follows:

Q: -1 2 (x² +1) dx

A: To evaluate: ∫x6-1x2+1dx Let I = ∫x6-1x2+1dx Using polynomial division we get  I = ∫x4-x2+1-2x2+1dx

Q: The partial fraction decomposition of f(x) g(x) + where 3 (x + 3) (x² - 4x + 4) f(x) = g(x) = -3x² -…

A:

Q: Question 5 What is the amount of work done on a spring when it is compressed from its natural length…

A:

Q: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

A:

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A:

Q: Question 8 Which of the following integrals would best approximate the area of the region bounded by…

A:

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

A:

Q: 3. y= (sec ³x + tan ²x)

A: Topic:- application of derivatives

Q: The region in the first quadrant bounded by the graph of y=8-x¹2, the x-axis, and the y-axis is…

A: The region in the first quadrant bounded by the graph of y=8-x32, the x‐axis, and the y‐axis is…