(1) (2 cos y + 4x²)dx = xsin ydy

Q: The equation represents Select one: O a sphere with center(0, -5, 3) and radius 16. O None of them O…

A: To determine the type of the surface represented by the following equation.Note: Since the student…

Q: Multiply: (2+5i)(2−13i). Give your answer in complex standard form a+bi.

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Q: You will find the directional derivative of z(x, y) = 5 sin (4 x y), in the direction (3,-3) at the…

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Q: 5 -4 -3 N 5 4 3 2 -1 -2 -3 -4 1 2 3 4 5 -5+ In the above graph of y = f( x ), find the slope of the…

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Q: (c) lim x-3 1 x +3 + 3 x² + 3x, 3

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Q: p(x) = a + ax + a,x² + ... + 10x?

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Q: how much must be deposited now? The interest rate is 9%, compounded

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Q: Let f(x) = In(x). State if the following statement is true or false (a) The graph of f(x) has a…

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Q: 5- 4+ 3- 2- 1 -1 -2 -3 -4 -5 J/2 Find lim f(x) XIT л 37/2 The graph of the function f(x) = cotx is…

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Q: Determine x = f(t) for dx (₁²+2t) = 2x + 2, t> 0; f(1) = 4. dt

A: To determine  for .

Q: 6. Given f(x) = 3x - 1 A. Find (f-g)(x) B. Find (fog)(x) report domain and simplify C. Find (3) (2)…

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Q: A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = 5x cos xt…

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Q: Use the chain rule to find the derivative of 6√3x5 + 9x8 Type your answer without fractional or…

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Q: 2. We found a solution y-sinx for the following differential equation. y"+y=0 a. Use Reduction of…

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Q: If then the domain D of the function f is given by the set Select one: ○ {(x,y)|y² > x, ○ {(x,y) y²…

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Q: Find the slope of the tangent line to the curve at the point (4π, 7π/2). 4 sin(x) + 4 cos (y) - 6…

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Q: Find the average rate of change of the given function on the interval [4,5]. h(x)=5x2+7x−4 Enter…

A: To find the average rate of change of the given function on the interval .

Q: 5. (x² + y²) dx + 2xy dy = 0. Solve by two methods.

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Q: Find the following using the table below. x g(x) 1 421 4 2 3 4 3 1 2 3 1 3 2 3 1 h' (2) if h(x) =…

A: The Product Rule:The Quotient Rule:

Q: Consider the curve defined parametrically by x(t) = cos(2t) and y(t) = 2 sint for values of t such…

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Q: Solve the equation and check your solution. 5x − 14 3 X = 15+X -2 +4

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Q: Find an equation of the following ellipse, assuming the center is at the origin. Sketch a graph…

A: The standard equation of an ellipse with the centre at origin is

Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) =…

A: Given:The position vector r(t) =

Q: Solve. X-4 7x + 5

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Q: (4) y' + (x + 1)y = ex²y3

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Q: Find the sum of the series. 8!!! Σ 40n n=1 (2n-1)²(2n + 1)² The sum of the series is

A: A telescoping series is a series in which every element except for first and last term is cancelled.

Q: ind the following limits. -2x³ - 6 x→∞ −5x² - 7x - 8 a. lim -2x³ - 6 x→→∞ −5x² – 7x - 8 b. lim ||

A: Here we will find limit of the given functions, we will find it on putting the x= infinity and -…

Q: Q2. Suppose that rsin(yz²); Apply appropriate chain rule to find W = x x= cos(t), y = t², z=et. to

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Q: Natural Science. The tallest trees in the world grow in Redwood National Park in California; they…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A: Given equation is : x=-8Concept : To convert an equation into polar form, we substitute x = r cos…

Q: Match the third order linear equations with their fundamental solution sets. 1. y" - 9y" + 20y = 0…

A: Match third order differential equations

Q: Evaluate the indefinite integral S 16 (49 - x2) 19/2 dx

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Q: For any two nonparallel vectors a and b, it holds that Select one: O 3a + b 3|a| + |b| O|3a + b =…

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Q: Let s(t) = 6t³ + 9t². v(t) = t - Where does the velocity equal zero? [Hint: factor out the GCF.] and…

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Q: 2c Find numbers a and b such that √a ax+b-2 lim x →0 1. Note: X express your solution based on the…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Prob #3 A 25in Find the area of the triangle below. 75° B 37° с

A: Given that a triangle ABC . Here     Angle A = 75°     Angle B = 37°    Side AB = 25 in.

Q: Find derivative of the following function. e³x + e-3x dy dx y = || X

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Q: 4. For each integer n ≥ 0, define In = [cos" (a) da. (a) Use integration by parts to prove the…

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Q: Q1. Let f(x, y) = 3xy +/- $. 1 8 (a). Find far(x, y). (b). Find fay(x, y). (c). Find fyy(x, y). 100⁰

A: we need to find out the partial derivatives.

Q: The first term of a sequence along with a recursion formula for the remaining terms is given below.…

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Q: Let f(v) = V v+17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: A point x=c is  a critical point of the function f(x) if f(c) exists and if  f'(c) =0 or f'(c)…

Q: 2 b. 4y"+²y = 0, y(0) = 2, y'(0) = 0

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Q: let h(y)=(y-3y2)5(y2+2)6  h'(y) in simplified form.

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Q: Find the area of the region enclosed by one loop of the curve. r = 2 sin(90)

A: r=2sin⁡(9θ)

Q: Find the area of the region that lies inside both curves. r = 5 + cos(0), r = 5 cos(0)

A: r=5+cos⁡(θ),r=5−cos⁡(θ)

Q: Determine the intervals on which the function is increasing/decreasing. x2/3 5 + x² f(x):

A: f(x)=x2/35+x2

Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. When is…

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Q: Differentiate. f(x) = 7e³x f'(x) =

A: we need to find out the derivative of the given function.

Q: when interest is compounded (a) annually, (b) monthly, (c) daily, and (d) continuously. Then find…

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

Q: Does the sequence {a} converge or diverge? Find the limit if the sequence is convergent. an =√4n…

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