1. Given the function f:x → Inx. a) Find the interval on which f is increasing. b) Find the point at which f attains its maximum value on this interval.

Q: Find the surface area generated by revolving about the y-axis the curve x? – y? = a² from y = 0 to y...

A: we have to find the surface area.

Q: リ=!-Cos2x 1+(os 2x prove y = 2 tanx .secx

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Q: answer?

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Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10 element...

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Q: Determine the volume of the solid obtained by rotating the portion of the region bounded by y = x^ (...

A: I am attaching image so that you understand each and every step.

Q: Consider the differential equation dy = y +t. dt Given that the general solution to the DE is y(t) =...

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Q: Find the dy/dx of the following function using Chain Rule. y=(-5x3 - 3)3

A: Find the dy/dx of the following function using Chain Rule.

Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: olve the following differential equations of 2 • dx+ 2(xe" – y)dy =0;

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Q: Make the u-substitution 2u 1- u? dx = 1+ u2 sin x = Cos x = and du 1+ u? to convert the integrand to...

A: integration using the substitution method

Q: Use the method of shells to find the volume of the solid obtained by revolving the region bounded by...

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Q: 1.Sketch the graph of the following conic: 4x^2-8y^2+24x+4=0 Then determine the focal point and its ...

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Q: Evaluate dz. 23 x2+1

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Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

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Q: What type of symmetry can be observed in the given image? Select the correct response: Spherical Rad...

A: Let's find. 

Q: Determine whether the series is convergent ordivergent. the exact test that you Use. 00 Sinl 2. nこ1

A: To determine whether the given series is convergent or divergent.To write the exact test that you us...

Q: Make the u-substitution u = 5/x, and then use the Endpaper Integral Table to evaluate the integral. ...

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Q: Convert to an equation in rectangular coordinates. r = cos (0) – sin (0) (Express numbers in exact f...

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Q: Corsider the surfaces S : (x – 1)2 + (y – 1)? = 1, S2 : 2² = y, S3 : a² = -(z – 1) S4 : x + z = 1, S...

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Q: 1 Arc sin, xdx хах 2

A: By parts method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx*∫v(x)dxdx ddx(arc(sinx))=11-x2

Q: Find the slope of the graph of the function at the given point. F(x) = 4x5 + 5x - sin(x), (0, 0) f'(...

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Q: Integrating Hyperbolic Functions 13. Evaluate, | sinh* x cosh x dx 14. Evaluate, dx xVx? +16 15. Eva...

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am ...

Q: Evaluate the function atlthe given value of the independent variable. Simplify the results. (If an a...

A: given function f(x)=4x-3need to evaluate f(x)-f(19)x-19

Q: 3 x³(16 + x²)Zdx Let x = 4 tan 0

A: This question is based on solution of indefinite integral by substitution method.

Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

Q: tan r- sin r 1. Using fundamental identities, simplify the expression sin a 1 2. Using fundamental i...

A: We know that, The trigonometric identities; 1). 1cscx=sinx 2). 1secx=cosx 3). tanx=sinxcosx 4). cotx...

Q: 4 16+ 16y – 4y² (y2 – 4)2 3

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Q: Thus, for f(x): %3D x2 - 9 , if x 0 f-x) = %3D if x = 0

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Q: Question 14 Evaluate and simplify the integral x +æ+3 a4+6x2+9 Show your solution. Upload Choose a F...

A: A detailed solution is given below

Q: Sketch the region bounded by the graphs of y = v1-x, y 1-, and y = 0. Find the volume of the solid o...

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Q: Express the following radian measure to degrees. 1) 150 2) 210 3) 100 4) 120

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Q: Find R of the function Y = f(x) = Vx %3D all X 0<X < 00 2 Ls O خيار 3 12X 2 3 -2 <Y< 2 0 الخيار رقم ...

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Q: Let a = ci +j andb = 3i + 4j. Find c so that the angle between a and b is. Round your answers to fou...

A: Topic = Vectors

Q: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

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Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x...

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Q: 10- 10 10 Find its domain and range. (Enter your answers using interval notation.) domain range 30

A: For given function of graph. f(x)=&gt;y^2=36-x^2 hence we know that  for domin and Range : by defini...

Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2...

Q: the given double integral the indicated Compute rectangle: ex 4x-1 over SS- dA R = [-1,0] x [1,2] A....

A: Let's find. 

Q: Q1: Convert the polar function to Cartesian function in the form f(x,y) = 0? cos 0 + sin e r = cos20...

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Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

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Q: Given f(x) = -4x + 2 and x = 5r ln (2s). Find fr (5, 4). Give your answer correct to two decimal pla...

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Q: a. Consider the parabola f(x) = x² -4x + 3 i) Write the equation in vertex form. ii) Find the vertex...

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Q: Evatuate the function at the given value of the independent vaniable. Simplity the results x) -- x) ...

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Q: Find the volume of the solid generated the area bounded by y = V, the x-axis and x 4, rotated about ...

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Q: Determine whether the series is convergent or divergent.Write the exact test that you Use. 00 2. n=1

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Q: Solve S using the technique of integration by partial x²-4 fractions A. In B. In +c с. in +c D. A В ...

A: Option A 

Q: h(x) = sin? x + cos x 0 <x< 2n X =

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Q: Consider the region bounded by x = 1+ 4y – y? and x = 4. a. Compute for the end points of the region...

A: (a) computing the end pointintersection point between x=1+4y-y2 and x=44=1+4y-y2y2-4y+3=0y2-3y-y+3=0...

Q: El cálculo de la integral, S sin' (z) dz es equivalente a Seleccione una: O a. - sin (2a)+ S [1+ cos...

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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