solution

Q: Which of the following is the sum of the series 3 3 (2 + 1)2)

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Q: What is equation of the plane passing through the point A(2, 1,3) and parallel to the vectors a = j-...

A: We have to find the equation of plane passing through point A(2,1,3) and parallel to vectors a→=j^-2...

Q: 7) (*x* cos xdx frese" – nde 8) xcsc 4

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Q: Tutorial Exercise Determine whether the function is a solution of the differential equation y(4) – 8...

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Q: 2. I) Find the centre, radius, and interval of convergence for the given power series. 1 Е(13)" nInn...

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Q: Calculus Question

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Q: Test for convergence using Ratio test of the following series e 4n * En=3 Ln=3 (n-2)!

A: Here we have to test for convergence by using the Ratio test .

Q: Solve for parts, A, B, C, and D

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Q: = f(x,y, z) = x + sin y and Calculate if w ди x = x(u, v) = In (u + v), y = y(u, v) = e".º and z = z...

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Q: a. The value of x that makes the function discontinuous. 3x f(x)= 3x-81 O 4 O -4

A: A function f(x) in an interval (a,b) is discontinuous if it is undefined at x=c where a<c<b. T...

Q: 3-ух+6 lim x→3 х-3

A: The limit of a function at a point is the value of the function when the value of the variable is ve...

Q: * 4" – 3" (a) If the series, converges, what is its sum? 5" n=0

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Q: 1+1=?

A: Given: 1+1=? To Find: To find the missing number.  

Q: Find the integral of the exponential functions

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Q: A solid is 3 m high. The cross-section of the solid at height x meters above its base has area 2z sq...

A: Volume is equal to base area multiolied by height.

Q: Number 4 please???

A: Explanation and solutions is given below......

Q: the second item

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Q: dr Evaluate f x In(x) In(In(x))

A: Evaluate: ∫dxxlnxlnlnx.  Let lnlnx=u. Derivate with respect to x by applying chain rule: dydx=dydvdv...

Q: Full solution pls for the whole question. Answers can be found below.

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Q: Choose the correct answer

A: f(x)=2x3-3x2+10

Q: 5) [ Arc sin- xdx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: \int_{-3}^{3}x^{2}\sin x (dx) Find the integral:

A: Our Aim is to integrate the function given below:-∫-33x2 sinx(dx) -(i)

Q: For each description of a region, match the definite integral that can be used to compute the area o...

A: By using graph and area formula, we find area of the region.

Q: The popcorn containers at a movie theater are in the shape of cones.Suppose a popcorn container has ...

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Q: Q1) Without using a calculator, determine d/dx{2e^3x *cosh 4x−e^7x} in simplest terms.

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Q: final answer in simplest form pls

A: here we use integration, and some algebra equations  sin2x+cos2x=1 , (a+b)(a-b)=a2-b2.  

Q: Test for convergences of the following n+3 2n+1. n=1

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Q: Using rectangular tiles of sizes 3times1 and 3times2 it is possible to tile a rectangle of size 3tim...

A: An even integer a is divisible by 2 and can be written as a=2b, where b is also obtained an integer....

Q: {1- is n2- The sequence {1 – en (i) 0 (ii) 1 (iii) None of these

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Q: Q3. Find the sum of the following series 1 1 n=3 'n²-4 зп-1.

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Q: 1+x 5. Find the Maclaurin series for the In 1-x

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Q: 1. Let us consider the straight lines x – 1 = 3' Y = 0 and Y + 1 x = = z. 2 (a) Show that the lines ...

A: We will solve the following. 

Q: What is the importance of the flow of Basic Calculus in our daily lives?

A:                  Basic Calculus

Q: Write out the 1st four terms of the sequence {1+(-1)"}"o In=D0 Use the result from part (i) to expre...

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Q: 4" – 3" 4. (a) If the series, converges, what is its sum? 5" n=0 cos(nt) (b) Does the series Y In co...

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Q: please show step by step ....thank you .

A: f(x)=ln1+x1-x

Q: 3. Let C be the space curve given with the vector valued function R(t) = (1+2 sin(2nt))i+ (In t)J + ...

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Q: The sides of a base and the hight of a triangular prism are measured and measurements are known to h...

A: In this question we will use basic of mathematics i.e volume of triangular prism is 1/2*b*h*l and to...

Q: dw if w = du = f(x, y, z) = x + sin y and Calculate ¤(u, v) = In (u + v), y = y(u, v) = e"." and z =...

A: Given that     w=f(x,y,z)=(x+siny)/z x=x(u,v)= ln(u+v) y=y(u,v)= eu.v z= z(u,v) = 1/u

Q: Only question 28, I have trouble with this one.

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Q: Please answer each blank where it goes and graph, not graded, thanks

A: Here we will use product formula of derivative. d/dx ( uv) = u d/dx ( v) + v d/dx ( u)   

Q: Determine the limit of each function analytically. Show neat and complete solution. (hint: some of t...

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Q: Please answer number 6

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Q: Exercise 10

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Q: Given f(x) = 4 – x² and g(x) = væ +1, find lim g(f(x)). %3D O 2 does not exists O none of these

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Q: , 4" – 3" (a) If the series, converges, what is its sum? 5" 0 (b) Does the series cos(n7) converges ...

A: In the question we have to find convergence of the given function and the sum also.

Q: Find the extrema of the following function on the given interval, if there are any, and determine th...

A: Function is the unique relation where each x is mapped to unique y. It can be of many type, injectiv...

Q: Find the integral of ſ r(t) dt for the vector-valued function, r(t) (In(t))i + /1+ cos4t)j + dt k V4...

A: NOTE: The vector-value function is dependent on variable t, so z component of vector function is dt4...

Q: Evaluate the integral. [HINT: Use a shortcut.] 2-x + 1 dx 35 - d

A: Explanation and solutions is given below....

Q: Quèstion 3 Let f(x) =V 16-x, g(x) =/3+4x. Then(fog)(-2) =. 13 V21 V17 3 and -3

A: the given functions aref(x)=16-x2g(x) =3+4xto find fog-2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.