What is the sum of the first 50 terms of the series 10 + 85 +160 + 32

Q: Use a grapher to find all local maxima and minima and the values of x where they occur. Give values…

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Q: Obtain the differential equation of the following family of curves. 1. Circles with center on the…

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Q: b. IF A = +²î - tj + (2+ +1) K B = (2-3)i +Ĵ-tk A. d_ (A.B) dt OBTAIN THE FOLLOWING @ t = 1

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Q: A differential equation (DE) is a mathematical equation for an unknown function that relates the…

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Q: Determine whether the improper integral converges and, if so, evaluate it.   ∞ 0 5x dx (3 + x2)2

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Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. r(t) @ = (?)i + (x +…

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Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal…

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Q: (3) Consider the initial value problem zy' + y = 5x¹, find the general solution. Now, with inital…

A: Solution

Q: Solve the integrals: (1) (c I₁ = 1 |x| x² + x| dx

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Q: Hurricane Rita was a major storm that struck the Gulf coast inlate September 2005, less than a month…

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

Q: Find dy. dy= y = 30 + 15x4 - 2x5 (Simplify your answer.)

A: Solve for the derivative

Q: 9²-9 9² + 69 79 2 9²-29-3 9² +29-3 2

A: To simplify ans solve the given question

Q: Use PMT= 3¬ to determine the regular payment amount, rounded to the nearest dollar. The price of…

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Q: Describe the surface. x² + z² = 7 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

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Q: Find all values of where the graph of f(x) = 2x³-39x² + 240x-5 has a horizontal tangent line.…

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Q: The graph of a function f is shown. 800 400 20 40 60 (a) Find the average rate of change of f on the…

A: we need to answer the questions from the graph.

Q: Evaluate the following, using INTEGRATING FACTOR. (ex+y - y) dx + (x ex+y + 1)dy = 0

A: We have to solve the differential equation by integrating factor  (ex+y - y) dx + (x ex+y + 1)dy = 0…

Q: 9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross-…

A: The given figure is shown below: A few more vertices were introduced in this figure.

Q: If y = (5 + x5 +¹³, then y' is A. (5 + x² +¹³ (5x¹¹2) +3 B. (5 + x² + ²)² (5x+) c{(5+x+) (5x + a) D.…

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Q: The distance (in feet) of an object from a point is given by s(t)=−5t^2+1where t is in seconds.…

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Q: Please show all workings in each question neatly and in detail. 1. Evaluate the following indefinite…

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Q: A curve passes through the point (0, 2) and has the property that the slope of the curve at every…

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Q: The range of y = tan-¹ x is A. R Evaluate lim h-0 A. undefined B. [-1,1] (x-h)³-x³ h B. 3x² C. x +…

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Q: Find the second derivative of y = e²x sin(3x)

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Q: 4) For f(x) = { sin(27x) x>1/2 4 2x-1 x = 1/2 find lim f(x) X- x < 1/2 2

A: To find the limit of the given function.

Q: If P(x) = 5x – 7, Q(x) = 3x² + 5x + 6, and R(x) = 7x² + 6, find the following: (a) R(x) + Q(x) = (b)…

A: I have solved step by step in detail...go through the solution

Q: The average speed of a gas molecule in meters per second is Vaug molar mass M is given in…

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Q: Find zr if z = xyev, x = rcos(t), y = rsin(t), when r = 2 and t Zr TU 6

A: We need to find out Zr.

Q: sketch the graph of f. Then identify the lim f(x) exists. x-c (x²₂ x ≤ 2 35. f(x) = 8 - 2x, 2 4

A: Concept: A function may get close to two distinct limits. There are two scenarios: one in which the…

Q: Determine the solution for the following Bernoulli’s differential equation.

A: Here we have to solve the differential equation.

Q: U = 1) AUB= 2) BUC=. 3) AC =. 4) A - B 5) A-c =. 6) ΑΔΒ =.. 7) AAC =. 8) (AUB) - B =. 9) (AUB): =…

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Q: Evaluate lim 1-cos3x x→0 tan 2x

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Q: Match the equation with its graph. x² + 2z² = 1 X* x.

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Q: A. Find the second derivative of y=- (x+1)³ B. 4x x+1 (x+1)³ C. 8 (x+1)² D. (x+1)²

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Solve the Initial = Find the general valve problem jy (0) = -1 solution (x² + 1) + 3xy =6x

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Q: 2. Evaluate the following integrals a) f √1+2-√1-dx (Hint: Maybe you need to rationalize the…

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Q: 1. The lim x² - 1 1 x 1 x 16 x = 1. GUI = 2. Justify why is this so even though the function is not…

A: Given limit is limx→1x2-1x-1=2 We need to justify why the limit exist.

Q: EXAMPLE 5 Where is the function f(x) = |x-1| differentiable?

A: Given, Where the function f(x) = |x - 1| is differentiable.

Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

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Q: t) = 80,000e.05t, where t is the number of years after 1990. a. How many dollars per year will the…

A: Topic:- algebra and calculus

Q: Solve by completing 2x2 +9x = 1 =0 - the square,

A: The given equation is 2x2+9x-1=0 We have to find the solution of the equation

Q: Q2. Find the area of the triangle (by using vectors) whose vertices are A (0,0,0), B(1,1,1), and…

A: To find the area of the triangle with given vertices.

Q: Let the position vector be R(t)=⟨3t,4cos(3t),4sin(3t)⟩. Compute the principal unit normal vector…

A: Given data:- The given position vector is, Rt=3t, 4cos3t, 4sin3t

Q: If x= find dx y+2 2y/2y 4. B. B. Find y' if y = (2x2-3)(3x+2) 4x-1 48x³-2x²-8x+15 (4x-1)²…

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Q: Differentiate the function. 1 2 =(√x + + + + + ) ² 3 v' = V

A: See this solution in below.

Q: [x²-2 if x≤2] -3x+1 if x>2 Graph the function, f(x)=- x y

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Q: 2. Match the figures below with the equations: (a) z = sin(x) sin(y) (b) x²-y+2²=0 (c) z = √6x² +…

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Q: Find dy. y=34+ 10x²5x5 dy = (Simplify your answer.)

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Q: (D4 + 2D³ - 3D² - 4D + 4)y=0

A: (D⁴+2D³-3D²-4D+4)y=0 So, D⁴+2D³-3D²-4D+4=0

Q: Find the differential equations of every families of curves given 1. All parabolas with axis…

A: In conic section, there are four forms of parabola (up and down, left and right). The equation for…