.. Find the sum of each series. 1 + ਨੇ + 1 2 1 1 + 4 2² 4² + 1 2³ 4³ ਕਿ 1 4*

Q: 2. Find d'y if dx² b) sin y-e* = 5x6

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Q: EXAMPLE 3 An object at the end of a vertical spring is straightened 2 cm beyond its rest position…

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin(0) - csc(0)…

A: Answer=  -cot(θ)

Q: Solve the following differential equations. y' = 2. y' =2, y(0) = −1. xy³ 1+x2) dy dx

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Q: 2 -1 c = y L 2₁ 3₁ y = g(x) + 1 For what x-value(s) does the function pictured have horizontal…

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Q: A particle moves along an s-axis, use the given information to find the position function of the…

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Q: d. With the aid of a diagram, find the volume of the solid of revolution obtained by revolving the…

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Q: Find g'(8) given that f(8)= -6, f'(8) = 7, and g(x) = g'(8) = 9x + 5 f(x) (Round your answer to four…

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Q: 5 2) Suppose we know 5ƒ(x) dx = 13, ƒ ƒ (x) dx = 30 and f g(x) dx = -2. Evaluate: a. Sof(x)dx b. 10ƒ…

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Q: A person's Body Mass Index is I = #2, where W is the body weight (in kilograms) and H is the body…

A: We need to find  out the change in the index using differentials.

Q: Find the equation of the hyperbola with vertices (0, ±8) and asymptotes y = ± 4/3x.

A: A hyperbola is an open curve. The two branches of the hyperbola are mirror images to each other.…

Q: x³ y" + xy' - y = 0 [ Hint: x = e¹, ln x = t; x(dy/dx) = dy/dt; x²(d²y/dx²) x³(d³y/dx³) = (d²y/dt2)…

A: The given differential equation, x3y'''+xy'-y=0 We have to find the general solution of the…

Q: Find an equation for the line tangent to the graph of f(x) = -5xe* at the point (2, f(2)). (Round…

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Q: Find all values of x such that the distance between (x, -1) and (4, 2) is 5 units

A: Distance D= 5 units, Point A (x,-1) Point B (4,2)

Q: To multiply (5x + 3)(x² + &x + 7), begin by multiplying each term of x? + &r + 7 by multiply each…

A: To multiply (5x+3)(x2+8x+7), we use the rule(ax+b)(cx+d)= ax(cx+d)+b(cx+d)So, here we can observe…

Q: sin(5t) sin(3t) Simplify cos(5t) - cos(3t) expression involving a single trigonometric function. to…

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Q: 9. f(x)=T √√5x²

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Q: Polynomials are added by combining------------------------- terms.

A: To add two or more polynomials, first step is to arrange each polyomial such that the term with the…

Q: dy/dx for y= sin(x)/x^3

A: Given query is to find derivative.

Q: Need help with this question

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Q: 4. f(x) = 4x3x =

A: Please see the below picture for detailed solution.

Q: A simplified polynomial that has two terms is called a/an .-----------------------------

A: A polynomial may have one term, two terms or many terms.A polynomial with single term is called as…

Q: Find the highest point on the cardioid r = 1 + cosθ.

A: Given data:- The given expression is, r=1+cosθ

Q: State an integral formula for finding the arc length of a smooth curve y = f(x) over an interval [a,…

A: Concept Used: There are different kinds of Riemann sums, each of which approximates an integral by a…

Q: Use a calculator to evaluate the expression. Round your answer to the nearest hundredth. arccos 5…

A: solve by use calculator

Q: 2 For the given function, find (a) the equation of the secant line through the points where x has…

A: We will find the required.

Q: I for de ||

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Q: Assume that f(x) is everywhere continuous and it is given to you that f(2)=-7 and f(x)+7 = 8. lim…

A: Given query is to find the equation of the tangent.

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

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Q: - dy y y² dx + 2yx dy =

A: Topic:- solution of differential equations

Q: Find the first derivative of y= -5sin(4x^2+10)

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Q: Explain how to simplify a rational expression.

A: Explanation: How to simplify a rational expression.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Suppose that the piecewise defined function fis defined by f(x) = 2x, x≤2 -3x² + 10x - 11, x>2

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Q: 12. f(x) = 4* + x4 +ln(4x) +log4x+e4x

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Q: Find the arc length of the curve y = 4x5/4 from x = 0 to x = 4.

A: We have, y=5x5/4  Aim: find arc length from x=0 to x=4

Q: Rewrite - 3 sin(x) + 1 cos(x) as A sin(x + 6). A = =

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Q: After a baby Fluffrat is born, its rate of growth, (in ounces per week) is given by the function…

A: GROWTH RATE- The growth rate means  the change of value from one period to another (month, quarter,…

Q: For Exercises 9-16, determine the center and radius of the circle. 9. (x – 4)2 + (y + 2)? = 81 12.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Eliminate the arbitrary constant y=C₁x + С₂e-2

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Q: Question 3 of 20: Select the best answer for the question. 3. Evaluate the following determinant: O…

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Q: π 6) Lety=tan(3x + )-1. a) What is the period? b) Has it been translated up or down? If so, by how…

A: To find out the period, vertical translation, horizontal translation, asymptotes.

Q: to the differential equation using the Method of Undetermined Coeffici t) = 2test

A: We have to find the particular solution for the given differential equation.

Q: 1) Rewrite 2ln(x)-3ln(y)+ln(z) as a single logarithm.

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Q: Consider the solid generated by revolving the region enclosed by y = secx, x = 0, x = π/3, and y = 0…

A: Concept Used: The average value of a function f(x) over an interval [a, b] is: 1b-a∫abf(x)dx To…

Q: Explain how to multiply rational expressions.

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Q: In 1906 Kennelly developed a simple formula for predicting an upper limit on the fastest time that…

A: Given function  t=0.0588s1.125 where s is the distance in meters and t is the time in seconds

Q: Find the x-value(s) at which the tangent line to the curve y = list. If there are none, enter NONE.)…

A: We know when tangent line horizontal then slope of tangent line equal to zero

Q: At a price of $70 there is demand for 1020 items and a supply of 630 items.  At a price of $130…

A: Concept: At the price of $70 the demand is of 1020 items and supply is of 630 items. Also the price…

Q: The function f(x)=2xe^x has an inflection points at x=

A: Given function, f(x)=2xex