For j(x) = (2x² – 1) (-3x³ + 2x), find j'(0) by applying the product rule. %3D

Q: The integrating factor for the differential equation dy X- dx 4x cos(x)y = –5e* is e-4 sin(x) Select...

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Q: Given f(x) = x + 9 and g(x) = Vx + 10, determine the following. Write each answer using interval not...

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Q: Find the radius of convergence of the power series. (If you need to use co or -m, enter INFINITY or ...

A: Consider the power  series            ∑ an (x-a)n then Series will convergent if |x-a|<R , where ...

Q: Problem 5: Solve the following differential equation for y(t) for the initial value problem using th...

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Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thou...

A: Given query is to find the solution of the expression.

Q: 4x2 + 4y? + 122 = 9 and the point P = (1, 1, 1) on this surface. A. Starting with the equation x =1+...

A: We have to find the normal line through P and tangent plane through P.

Q: de = x² – 2x +2 dy

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Q: Suppose f(x) - 6'Vi+ť' dt. 1) Evaluate / (2).

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Q: ind the derivative of the following functions in its simplest form. Show all of your work. Use the f...

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Q: Caitlin leased a car for 4 years at a rate of 5.80% compounded monthly. It required her to make paym...

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Q: Find the average rate of change of g(x) = 2x° – 4 from x = - 1 to x = 3 -

A: This question is based on average rate of change of function.

Q: tan (In |4x²|) dx is bin sec (In |(2x)^)| + C. what is b? The integral of (A 4 1 B c) 2 1 D 2

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Q: The graph shown is f(x) =/x. If g(x) = f(t)d t, find g(4). AY 3.6 2.4- 1.2t + -1 0 3 4 6 O g(4) = %3...

A: The detailed solution is given below Thank you 

Q: 10 4 2 -6 -5 3-2 -1 į 2 3 4 5 -2 -4 -6 -8 10+ The function graphed above is: Concave up on the inter...

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Q: Show whether the following series converges 1 1 1 +. 82 1 22 52 (Зп — 1)° using the comparison test.

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Q: The number of bacteria in a refrigerated food product is given by N(T) = 20T² – 73T + 12, 4 < T < 34...

A: Given,           The number of bacteria in a refrigerated food product is given by NT=20T2-73T+12,  ...

Q: Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3)

A: A(2, 1), B(3, -5) and C(1, -3) 

Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1...

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx  

Q: A travel agency charges a fixed 5,000 pesos fee for a travel tour with a group of 1 to 5 people and ...

A: Given: - A travel agency charges a fixed 5,000 pesos fee for a travel tour with a group of 1 to 5 pe...

Q: Cos (Jx) dx

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Q: Find k (curvature) and t (torsion) for curve C represented by F(t)=(e^t,-e^t,(2t)^1/2)

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Q: ne Q as the region bounded by the functions u(y) = Vy and v(y) = 1 between y = 2 and y gral below th...

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Q: Inz Let U = ry ,x= Vst, y = s? - 1². Use the chain rule to find when s = 1, as 4. -. t = 2.

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Q: * Profer fies of Dete If (Alis square matrix e If eveay allelemets in aone Veead or co of cAi are Ze...

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Q: The sum of the series n-16) is: A) 1. B) 2. C) D) E) Diverges.

A: topic - series convergent and divergent

Q: Question Define Q as the region that is bounded by the graph of the function g(y) = - Vy – 1, the y-...

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Q: Use Stokes' Theorem to calculate rot F dS, where F = ri + yj + rk and S is the surface given by the ...

A: This is a problem of vector calculus. By using stokes theorem formula we will evaluate given integra...

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −7 such that ...

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Q: (a) With the use of a suitable limit, find the first differential of Vr² +b² with respect to r i.e. ...

A: topic - derivative using first principle

Q: Find the arc length function for the curve ř(t)= (cosht,sinht,t) taking a=0.

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Q: Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If...

A: Given sequence,a) 2n2+2n+1n2+2n+2b) -1n2n+n2n+2n2c) 2n4+2n+1n2+2n+2

Q: CONTINυITY (c) The function f (x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x - a, 25...

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Q: Given the taylor series at 0 for 1/(1-x2)= 1+x2+x4+x6+x8+...+x2n Use above to find the taylor serie...

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Q: Success Confirmation of Question Submission | termine the requested sin, cos, or tan of angle A. bar...

A: option (b) is correct see below the  calculation

Q: Question Q is the region bounded by the graph of v(y) = 6y , x = 2, and y = 0. Find the volume of th...

A: Suppose that y=f(x) is a continuous non-negative function on the interval a,b.The Volume of the soli...

Q: 2. Find the indicated limits of the following algebraic and trigonometric functions: x' -1 а. lim. -...

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Q: dx The integral can be re- 1-x A lim (-1+ 2 V1–m ) - 00 B lim (2 – 2 V1-m ) 1–m ) m -- 00 lim (- 2 +...

A: We have to choose the correct option according to the given options

Q: 一站 Page > of 3 2. (b) of nonzero vector v is The directional derivative off (x, y) at the point (co,...

A: All parts are true. 

Q: a) Find the arc length function s(t) for the line segment given by r(t) = (3 – 3t) i +4t j, 0st<1 b)...

A: Answer: The solution is as follows:

Q: Identify the following as scalars, vectors or meaningless a) a•(bxc) b) (a•5)x(exd) c) (axb)•(cxd) d...

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Q: Find the derivative of the function. y = cot?(sin(8)) - 2 cot(sin (0)) [cos ec°(sin(0))]-co s(0) COs

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Q: 4 Consider dx. Transforming the integrand, the result will be K -, where k is a constant. What is u ...

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Q: d. Assume an object enters our solar system and we want to graph its path on a coordinate system wit...

A: Give the equation of flight path

Q: a) Represent the parabola y = x² + 4 as a vector-valued function b) Sketch the vector valued functio...

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Q: The solution to the differential equation = x cos(3x) - is: Select one: O x? cos(3x) + cx x2 O 3x? s...

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Q: Suppose f is a function for which f'and f" exist. You are given that: S(0) = 1 S'(0) = 5 %3D %3D f(2...

A: here we use the integration by parts see below the answer and calculation

Q: The base of a solid sitting on the ry-plane is the region enclosed by the curves y = c* , y= e$ and ...

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Q: e) proj(a onto b)

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Q: Let h(x) = f(x) · g(x). If f(x) = 2 – 4x², g(3) = 8, and g'(3) = 6, find h'(3). %3D %3D Provide your...

A: Given that hx=fxgx if fx=2-4x2,g3=8 and g'3=6To find : h'3Solution : fx=2-4x2f'x=-8xhx=fxgx h'x=f'xg...

Q: 2 cot-1 (ecsc) if – 3 3. - a. Determine iffis continuOUS Or discontimuous at z = 0 and at a = 3. If...

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