Find a formula for the nth term of the sequence. - 1, 2, 7, 14, 23, ... Determine the sequence's formula in terms of n. a = n²1

Q: ㅠ 3 So sin x ln (cos x) dx

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Q: Let y" 49y = 0. Find all values of r such that y = kere satisfies the differential equation. If…

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Q: A triangle is formed by the points P = (1, 0, 3), Q = (4, -1,3), and R = (6, 1, -2). (a) Sketch the…

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Q: Find the Maclaurin series for the given function. 1 x-3 Ο Α. Ο Β. 0 c. Σ n=o3n+1 Σ 3h n = 0 X - Σ…

A: The given function is 1/(x-3) Find the maclaurin series.

Q: 2 7 sin 8-cos 0 Enter your answer in slope-intercept form by filling in the boxes. Enter values so…

A: The equation in polar coordinates isTo determine: The equation in rectangular form.Relation between…

Q: 1 x2 - x + 12 x3 + 3x dx

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: When using the vector moment equation, M = r X F, the r vector: O must be perpendicular to the F…

A: Vector motion equation  .

Q: 3. Find the particular solution of 4y" + 25y = 0 when x = 0, y = -2; y' = 0

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Q: Given that sino 3 and 0<0<= what is the exact value of sin(20)?

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Q: t 2t x = e cos t₁y = 4t+e,t=0

A: Curve equation

Q: Find f/dx and df/ду. = 3x4y дх 518 ду f(x,y) " 11

A: Given Function

Q: Find the area of the region under the given curve from 1 to 6. x² + 5 7x - x² y =

A: Given that the curve is .It is required to find the area of the region under the curve from 1 to…

Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an…

A: Find the Sum of Geometric Series : –8 + 2 – 2/4 + 2/16 – 2/64 + 2/256 – ........we can rewrite as…

Q: Part b must have some form of an answer right? It doesn't give me the option of DNE or anything, so…

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Q: 11 y = (x² + 1)-², y=2-(x²+1)-², x = 2

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Q: Examine function f(x, y) = x² – 3xy - y²for relative extrema and saddle points.

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Q: Suppose that f(x, y) = 7, and D = {(x, y) | x² + y² ≤ 9}. Then the double integral of f(x, y) over D…

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Q: Find the derivative of the function at the given point in the direction of A. f(x,y,z)= 8x + 5y-10z,…

A: The given function is; f(x,y,z)=-8x+5y-10z, (-7,-2,-8)A=3i-6j-2k

Q: X dy dx +3y = sinx x2

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Q: Find the derivative of the function in the image below by using the definition, then evaluate the…

A: Use the defination of the derivative

Q: Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2),…

A: Solving the problem

Q: What is the formula for the total distance traveled by an object with a velocity v(t) = −3+² +9 on…

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Q: Q4// At time t, the position of a body moving along the s-axis iS s = t³ - 6t² + 9t m. 1 Find the…

A: Given,

Q: X y = √ 1 + 2e for 0≤x≤3

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Q: A bank pays interest at a rate of 7%. What is the yearly multiplier if interest is compounded (a)…

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Q: Question 3 The graph below shows y=f(x) for -2 ≤x≤1. Outside of this interval f(x) is zero. y 1+ 0 x…

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Q: i dont understand your work, where is the rest of the solution?

A: The function f(x) has the following definition:

Q: Use partial fractions to evaluate the integral 2 1² 2²-2-3 de dx 2x 0

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Q: Use implicit differentiation to Find y'. dy dx 0 3x²y² = 4x² - 4xy or

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Q: Upload a picture of your full solution in one file and attach it to this question. Determine the…

A: Determine the Cartesian equation of the Plane :through the Point P(0, 1, –2) , with normal n = (–1,…

Q: Find the volume of the solid enclosed by the surface z = x² + xy² and the planes z = 0, x = 0, x =…

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Q: Given that tan(0) = 1.13, match each of the trigonometric functions with their value. sec(8) cos(8)…

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Q: Determine the order, n, of the differential equation d³y dx5 dy dx n = +7- = 4x4.

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Q: r(t) = (4+t)i+(9+ln(cos t))k, -pi/2 < t < pi/2 Find principal unit  normal vector N for the curve…

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Q: Use the substitution x = 6 sint to evaluate the integral S√36 – x² dx. Note: Use C for an arbitrary…

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Q: What do all members of the family of linear functions f(x) = cx have in common? All members of the…

A: The slope intercept form of a line is given by y=mx+c where m  is the slope of the line and c is the…

Q: The population of a city is P(t) = 2e0.05t (in millions), where t is measured in years. (a)…

A: The population of a city is (in millions), where  is measured in years.(a) To calculate the doubling…

Q: Problem #1: Find dy: dx y5e-9x + 8x4 - y8 = 15

A: Explanation of the answer is as follows

Q: Find of/ox and af/ay. f(x,y)=3x3 Зу ?x af ду 11

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Q: n class I gave a general formula for derivative of an exponential function f(x) = a ^ u(x) ; where…

A: The first part of the derivative formula,  represents the natural logarithm of the base of the…

Q: The graph shown below is f(x) = 2x 2-1. If g(x) = f(t)dt, find g '(3). + 543-2-1 1 2 3 4 5 -2 + 3+…

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Q: For each of the following functions, find the maximum and minimum values of the function on the…

A: Solving the problem

Q: Define f(0,0) in a way that extends f to be continuous at the origin. -In ( 13x² - 2/2 + 13y²] x² +…

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Q: The magnitude of vector v along with its direction angle are given below. Write the vector in…

A: We have,  ||v|| = 8   θ = 330°

Q: How to find a volume of a balloon?

A: How to find a volume of a balloon ?

Q: What is the total change of f(x) between x = 0 and x = 4, when df = sin(2x) ? O 0.573 0.989 O 1.146…

A: If we are given f'(x) and interval from x=a to x=b then the total change is given by the…

Q: What is the average value of f(x), between x = 0 and x = 5 for f(x) = 2 + cos(3x)?

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Q: 23. x = y, y = 0, x = 1

A: 23. Given that,     x =y, y=0,  and x =1.Red line: y=xBlue line: y=0Green line: x=1.

Q: erential equation y" - y - 6y = 0, a general solution is of the form y = C₁ nstants. he initial…

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