Write the first five terms of the arithmetic sequence. a1=3, d=6

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Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +...

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Q: C = x Vx? – 25 + 50V2? – 25 + C.

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: We have to check weather the given Integral is converges or diverges.

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. ху %3D ...

A: topic - implicit differentiation

Q: Consider the following: 36x + 49y- 1764 (a) Find two explicit functions by solving the equation for ...

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Q: Exercise 5. (From Ira Rosenholz in the Problems Section of the Mathematics Magazine, Vol. 60 NO. 1, ...

A: This is a problem of maxima and minima of the function. Based on the first and second derivative tes...

Q: dive gent.write the Determine whether the series is test that you Use. convergent nt1 n=3

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Q: dy Find the function y(x) satisfying = 30, y'"(0) = 4, y'(0) = 6, and y(0) = 6. 3 d'y = 30, y''(0) =...

A: Let's find. 

Q: Evaluate (x+1)2 In3x dx Then, write the coefficient of the integral: Blank 1(*+1) ³ In3x + Blank 2 x...

A: topic - indefinite integral

Q: Determine if the provided sequence is divergent or convergent

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the...

A: Find your answer below 

Q: (lx] + 3 , ={-2x (6x +2, I<-3 Q4) Check the continuity of f(x) - 3 <x< 3 x2 3

A: topic - limits and continuity

Q: B. Apply the quotient rule to find the derivative 1. y 4-7x 3. y = 5- 3x

A: From the quotient rule of derivative we get Let,  y=uv where u and v is function of x then dydx= vdu...

Q: Use the function below to answer the following questions. m(x) = - -5 (a) Use transformations of the...

A: Solving the problem by finding the domain,range and asymptotes.

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Q: Given the function f, discuss its relative maximum and minimum points, the intervals where it is inc...

A: A function f(x) is increasing on (a,b) iff f'(x)&gt;0 ∀x∈(a,b) and decreasing on (a,b) iff f(x)&lt; ...

Q: Let y= (x+sin(x))^5 Find g(x) and f(x) so that y= (f∘g)(x), and compute the derivative using the Cha...

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Q: Determine whe ther the series is Convergent test that you use. diver gent.write the exact or n=2

A: We have to check weather the given series is convergent or divergent.

Q: What is the slope of the line tangent to the graph of a function defined by f(x)= 2x²-4x+5 at (-1,11...

A: f(x)=2x2-4x+5Let y=2x2-4x+5Differentiate 

Q: 1. Which of the following is correctly matched? O z'y"-y =0: linear, third order O ryy + 4x = 0: lin...

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Q: a) The curves y = x² and x = y?. b) The curves y = x² and y = } – x².

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Q: I. Use the limit of the rates as Ax approaches zero. Ax 2х-3 4. y = ; Зx+4 引

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Q: You are given the following parametric curve x = Vt- 1. y = Vt+2. Which one of the option below repr...

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Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find in terms ...

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Q: 5. Ollivanders is a wand shop for wizards in Hogwarts. It has been estimated that when x wands are p...

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Q: Let A(f) = 500(1.07) represent the amount of money, in dollars, in an account i years after the year...

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Q: Simplify the expression without using a calculator. log0.00001 =

A: This question is based on properties of logarithm.

Q: 4 dx 4+x4 4 V2

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Q: The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. O a. 44.8 m...

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Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than ...

Q: 1. Determine if the set or relation forms a function. (a){(-2, 1), (2, 2), (–1,2), (1, 2), (0, 2), (...

A: Given

Q: 1. Express B= 2i +j-3k as the sum of a vect or parallel to A = 3i - j and a vector orthogonal to A. ...

A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...

Q: You have been given the following parametric curve x = 4:4 + 3:2 + 1, y= 213 – 2t It has two tangent...

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Q: Given the following multiplication problem -2 1 = - 1 Perform the multiplication to find your two eq...

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Q: Determine whether the improper integral diverges or converges. dx

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 x = -(y2 + 2)3...

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Q: Given F(2) = 4, F'(2) = 2, F(4) = 2, F'(4) = 7 and G(2) = 4, G' (2) = 1, G(4) = 1, G' (4) = 2, find ...

A: topic - functions and derivatives

Q: Use the function below to answer the following questions. f(x) = 2* +5 (a) Use transformations of th...

A: Graph using graphing calculator

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: This question can be solved using the concept of rate of change of quantities.

Q: 5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit 00 8. Co...

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Q: Question Select your answer. Given f(x) 1 and a = -3, find f'(a). 1 1 9. 1 1 9 Answer

A: We have given function  fx=-5x+4x2 f'x=ddxfx f'x=-5dxdx+4ddxx2 f'x=-5+42x f'x=-5+8x Put x=2 f'2=-5+8...

Q: 3. s varies directly as r and inversely as square of difference of q to t. If s-12 when r-10, q=5 an...

A: s varies directly as r and inversely as square of difference of q and t. If s=12 when r=10, q=5 and ...

Q: 1 7) Find the antiderivative: S 3x2-6x+12

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Q: An investor deposits $9,000 into an account that pays 8% compounded continuously, and then begins to...

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Q: II. Find the equation of a line passing through (-3,5) with slope II. Find the equation of a line pa...

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