10s² – 5 L-1 (s² + 1)(s² + 3)²

Q: For the demand function q= D(p) = 422- p, find the following. a) The elasticity b) The elasticity at...

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Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z = e...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as a...

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Q: of the initial value problem gcナー Please fill in a question quickly within a quarter of

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Q: Compute the derivative of the following function. f(x) = 11 e 4x f (x) =

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Q: s. Evalnate.the following.deuble.integrals.by.converting.bo polar.Coa.r.dinates. C.. Ans: 3.6.

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Q: dx

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Q: Express the parametric y = 2 +9 in the Cartesian form y f(x). curve x = t + 6

A: This question can be solved by eliminating t from both the equation.

Q: x dxdy Evaluate the following double integrals by converting to polar coordinates.

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Q: 6. Calculate the integral in parts: Je (2x + 4) cos(4x) da.

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Q: Evaluate the given integrals. 5. J(1 – cos 0) csc²0 d0

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Q: C. 2 dx dy

A: Given 

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Q: 1 dx csc³(5x)

A: This question is based on indefinite integral.

Q: 1. Let f (x) = x (cos(2a)+ sin(3x)). a. Find the average value of f (x) for 0 <x < T. Show your work...

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

A: Points of intersection,y=4x and y=0(0,0)x+4y=1  and y=0(1, 0)y=4x and x+4y=1x+16x=117x=1x=117 → y=41...

Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

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Q: conditions for each equation: d²x 2 dx (a) + x = 1 dt F(0) = F'(0) = 0 %3D %3D dt2

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Q: Construct a truth table to show that (p Ag) → p is a tautology.

A:   p q (p ∧ q) p (p ∧ q)→p T T T T T T F F T T F T F F T F F F F T  

Q: If f(x) = 4x – 6, find the inverse function. f(x) =

A: Topic:- function 

Q: Evaluate the iterated integral.   6   2   x 2ye−x dy dx   1

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Q: The remainder term for a "n" degree Taylor polynomial of f(a) 1-x about x = 0 results in n+1 Rn(h (군...

A: Solution

Q: Find the local minimum and maximum values of the function below. f(x) = 3x4 – 12x3 – 168x2 + 7 - Sol...

A: First derivative Test for Local Maxima and Minima : Firstly , solve f'(x) =0 to find critical points...

Q: solve for 0 ≤ Θ < 2pi    ,                                            Θ = theta -cosΘ+sinΘ=1

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Q: Pls help ASAP. Pls show all work and calculations

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Q: Undelined

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Q: Sketch the region R of integration and switch the order of integration. 36 - x fx, у) dy dx y

A: Given problem:-

Q: Solve the shifted data IVP by the Laplace transform method showing your work in details. y"+3y'-4y=...

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Q: 20. (x² + 1)e¯* dx

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Q: Sketch the region bounded by the given curves, then find its area. x = 8 - y^2, x = y^2 - 8

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Q: e^-3(t-3)-e^-3(t-5)=?

A: Solution is given below:

Q: - y = V16 – x² and the x-axis about the x-axis

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Q: etermine if g is differentiable at x = 0 if -1 COS if – 1 0. x + cos x

A: Differentiable

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min....

A: As we know that; The expression for the volume of the sphere is: V=43πr3 Where; r is the radius of t...

Q: -2 -4 and D = 4 8

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Q: A 500 gallon tank initially contains 50 gallons of brine solution in which 28 pounds of salt have be...

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Q: Let A and M be n x n matrices. If AM = 31, then M-1 O is equal to (1/3) A is equal to (1/2) A O is e...

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Q: Find the integral of sin^8 xdx from x = π/2 to x = 2π  a. 0.814 b. 1.289 c. 0.240 d. 0.365

A: We have to find  the integral of sin8 xdx from x = π/2 to x = 2π 

Q: x° dx

A: According to Bartleby's policy we can solve only 1 question at a time. So, here's the solution of pa...

Q: Consider the parallelepiped with adjacent edges u = 4i + 7j + k v = i+j+ 6k w = i+ 4j + 9k Find the ...

A: The adjacent edges of the parallelepipedu=4i+7j+kv=i+j+6kw=i+4j+9k

Q: Give an example of a series Σn a_n that diverges but lim n->∞ a_n = 0

A: P-series Test : Consider the series           ∑n=1∞1np = 11p+12p+...(i) Series will converges if p&g...

Q: Find the area of the region between the curves

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Q: Express the function f(x) = g(x)"(×) in terms of the natural logarithmic and natural exponential fun...

A: Apply natural logarithm to the expressions on both sides of the given function fx=gxhx. logefx=loge...

Q: Find the open intervals where the function f(x) = - 2x" + 12x + 167x - 2 is concave upward or concav...

A: Given problem Find the open intervals where the function f(x) = -2x³ + 12x² +167x-2 is concave upwar...

Q: Find the Taylor polynomial T3(x) for the function f centered at the number a. RW = T3(x) - Graph fan...

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Q: 7. Find the equation of the normal line to the curve x+ = 2 at the point (1,9) 3x %3D

A: Simplify the equation of the curve: x+y3x=2

Q: 2x2 Use the guidelines to sketch the curve y = - 1 A. The domain is {x | x? - 1 + 0} = {x | x * ±1} ...

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Q: Write the first five terms of the geometric sequence. a1 = 25, r= -

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Q: 5. Graph the linear inequality on the graph. x<-4

A: Given data÷

Q: Find the indefinite integral. (Remember the constant of integration.) | (3 + x + 4e*) dx

A: I=∫ 3+x+4ex dxI=∫3 dx +∫x dx +∫ 4ex dxI=3∫dx +∫x dx +4∫ ex dxI=3x+x22+4 ex +C