ax2ª(x2a+1)°dx

Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: How to convert a cosecant theta to tangent data

A: sinθ = 1cosecθ  and cosecθ = 1sinθ

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Q: csc 0 tan 0 dr – (r csc 0 + tan² 0) d0 = 0 -

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Q: Exercise: 1. Convert the Rectangular coordinates (-1,1, v6) to spherical coordinates. 2. Convert the...

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Q: Determine the general antiderivative below. (Use a capital C as the integration constant.) (x+3)/x-1...

A: We have to find integral

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A: As we know that; The expression for the length of the vector-valued curve; L=∫abdxtdt2+dytdt2+dztdt2...

Q: Use technology to evaluate the given expression. Take 1.6 7.3 1.4 -2.39 5.1 A = and B = 5.5 0 44.8 1...

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Q: Which of the following is true for the function f(z) - a -4, z<1 -2, O a. f(1) = undefined O b. lim,...

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Q: Problems: 1. Engineers have observed that when transferring a message I (an input signal) through a ...

A: All parts of the problem are solved below in detail.

Q: Determine the standard equation of the ellipse that satisfies the given properties: foci at (-4, 0),...

A: Given that, Foci of an ellips are = (-4, 0) and (4, 0) And the ellips passes through the point (3, 1...

Q: - 1. der the equation In ay Ehow that (r, y) = (1,1) is a solution to this equation. dy Find dz (my)...

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Q: 1. Given that r(t) = t²i+tj + 2k. Sketch the curve with the given vector equation. Indicate with an ...

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Q: A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the ch...

A: Let's find. 

Q: dt dx 3. 6x – x² 4. sin xV1 XN Cos xdx 3x 5. 1-2e3*) 6. dx

A: We solve only 4th question.  Let 1-cos(x) =t 

Q: Time Interval [1, 2) [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] Average Velocity | Complete the followin...

A: We will find the average and instantaneous velocity. 

Q: Evaluate f w?sin(10w)dw using integration by parts W

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Q: 637 A central angle in a circle sweeps out an area of square centimeters. If the central angle is 2 ...

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Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr...

A: We have to find out degree

Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

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Q: 5. Given that r(t) = 3i + e* sin tj + e cos tk Find equations of the normal plane and osculation pla...

A: We have to  find equation of normal and oscillating plane of above curve. 

Q: -6/- -70 -8 Provide your answer below: lim f(x) = U a. x -4 b. lim f(x) =D | x-4+

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Q: Which of the following is the general solution to the differential equation y?dx = (xy – x²)dy? x In...

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Q: Calculate slope and show it. show calutions Time in seconds: 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7,0...

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Q: You are inflating a spherical balloon at the rate of 7 cm³/sec. How fast is it radius increasing whe...

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Q: A population of viruses is increasing at a constant relative growth rate in the bloodstream of its h...

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Q: dx Evaluate f- using trigonometric substitution x²(2+x²)

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Q: f(2) Suppose that the limit value of: lim a , what does imply? g() O a. A limit exist. O b. The nume...

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Q: Determine the standard equation of the ellipse that satisfies the given properties: center at the or...

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Q: A point (5, - 1) on the terminal side of an angle 0 is given. Find the exact value of sec 0. 2/6 3/2...

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Q: 5. csc 4x dx

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Q: csc 0 tan 0 dr – r csc 0 + tan? 0) d0 = 0 -

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Q: For the next four questions, consider the differential equation y" – y = x²e* +5

A: Let's find. 

Q: Find lim x→∞ h(x), if it exists. f(x) = 9x2 + 2x + 7   (a)     h(x) =  f(x) x lim x→∞ h(x) =

A: We are asked to find the limit of the function.

Q: Determine the intervals of continuity for the following function. AY 5- 4- 3- 2- 14 0+ 1. 2 3 4 6. 5

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Q: 5. Find the eigenvalues and their corresponding eigenvectors for the following matrices: 4 00 (::) 4...

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Q: Evaluate the following integrals: dx x In x 2.S da 1+x 1+x?

A: 1. ∫dxx ln x2. ∫1+x1+x2dx

Q: Identify the system as independent, inconsist analytical method 1. x+y=4 *ーy=6 2. x+y=8 2x + 2y = 16...

A: Since you have posted multiple questions i can do first three question as per our company guidelines...

Q: Time Velocity (cm/sec) Velocity (cm/sec) Time (sec) (sec) 28 1 30 15 56 25 15 38 10 33 -23 45

A: To find:- The accompanying table shows the velocity of a model train engine moving along a track for...

Q: Find the derivative of the following functions, а. F(x)3D etdt F'(x)= 3x+2 b. y= 1+t3 dy . dx *sin(x...

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

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Q: 9. A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in ...

A: Note :- These are multiple questions and according to our company guideline we can do maximum one qu...

Q: Find the derivative as indicated: 1) y = 3 cos x + 2 sin x ; find y' %3D 2) f(t) t sint ; find f'()

A: Given: 1: y=3cosx+2sinx2: f(t)=t sint   To Find: 1: y'2:f'(3π2)    

Q: Find the centroid of the region shown, not by integration, but by locating the centroids of the rect...

A: This question can be solved by finding the area and centroid of rectangular part and right angled tr...

Q: 49. If the complementary function of this equation is Y. = c;e* +c2xe*, then by the method of variat...

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Q: Start at 1. Create a pattern that multiplies each number by 2. Stop when you have 5 numbers.

A: You are asking me to creat a sequence that we can make in many ways. One of them I am showing here.

Q: Find B and τ for the space curve below.

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Q: Find a formula for the graph in terms of f (x) = sin x or g(x) 10 = COS X. NOTE: Eter your answer in...

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Q: Given the function: f(x, y) = 3æ°y – 7x*y+ 5x – 4y Find the folowing: show complete solution a. fz(1...

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