cos x dx Sx x sinx cosx dx 4. 3.

Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (3x-4y)^9 ax^4y^5

A: The given binomial,     3x-4y9

Q: (a) What is an orthogonal matrix? Determine whether or not the following matrix is orthogonal. Justi...

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Q: c notation and fractions where needed.)

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Q: 1. Let f (x) = x (cos(2a)+ sin(3x)). a. Find the average value of f (x) for 0 <x < T. Show your work...

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Q: Assume the derivatives of f and g exist. How do you find the derivative of the sum of two functions,...

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Q: Evaluate the iterated integral.   6   2   x 2ye−x dy dx   1

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Q: ind any critical numbers for the function f(x) = 6x - 3x +8 and then use the second derivative test ...

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Q: 1. Find the general solution of the differential equation: d°y d'y dy , dy - - dx6 dæ3 dx2

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Q: 1. Write an equation of a rational function that satisfies ALL of the given the given conditions des...

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Q: Use vectors to find the lengths of the diagonals of the parallelogran that has i +j and i – 2j as ad...

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Q: The remainder term for a "n" degree Taylor polynomial of f(a) 1-x about x = 0 results in n+1 Rn(h (군...

A: Solution

Q: A. Let R be the region inside the curve C:r = 1+ sin 8 and above the line e: r = 3/4 csc 0 a. Find t...

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the f...

Q: For each of the following rational functions, determine where the vertical asymptote(s) of the funct...

A: Given: hx=1x2-14x+45   As we know that; To calculate the vertical asymptote, equate the denominator ...

Q: tan 2x lim 4.x4

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: 2. Solve 3shn-sinx-2= over the interval [0,27). 2 sın'x-sinx-|:0

A: The objective is to solve the above expression.

Q: s. Evalnate.the following.deuble.integrals.by.converting.bo polar.Coa.r.dinates. C.. Ans: 3.6.

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Q: Find the vector equation of the line that passes through (1,0,-3) and it's parallel to v=2i - 4j + 5...

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Q: As x → 5+, x² . and x2 – 25 - x2 So the x → 5+ x² lim 25 Therefore, the line x = is a vertical asymp...

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Q: Solve for all vectors X so that × X = .

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Q: A. y? = 1+ a? + 22 C. a² + y? = z? %D B. y? + 22 = x? D. 22 = 4+ 4x² + 4y? %3D

A: 1. Answer : V

Q: Evaluate the following indefinite integral (sin z)(tan z) dz. coss z

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Q: 4. (2y cos x + sin 'X) ax 5. y' = 1+ 3ytanx

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Q: Let y = 2/ī. Find the change in y, Ay when x = 2 and Ar 0.1 Find the differential dy when z = 2 and ...

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Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 8 6 6 y 4- y 4...

A: This is a problem of integration. Based on the x and y limit we will sketch the region. 

Q: 11. An airplane is flying parallel to the ground at an altıtude of 2 km and at a speed of 4 km/min. ...

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Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+ 3k w = i+ 5j + 7k Find the ...

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Q: DSHUN EDWARDS Question 3 of 7, Step 1 of 2 2/17 Correct The effectiveness of a certain medical injec...

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Q: By applying Rolle's theorem, check whether it is possible that the function f(x) = a° + x – 6 has tw...

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Q: Find the equation of the tangent line at the given point. 1. y²e* = 3y + x² at (3,0) 2. x*+ y? = 3 a...

A: 1)y2ex=3y+x2Differentiate w.r.t x2yy'ex+y2ex=3y'+2xSubstitute (x,y)=(3,0)2(0)y'e3+02e3=3y'+2(3)0=3y'...

Q: f(x) = (3x + 1)(x – 4) / (x + 2)(x – 2) %3D Domain x-int = Intercepts y-int = V.A. Asymptotes and Ho...

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Q: Solve the following differential equations 3x² d+ x dx2 C- + y = x.

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Q: Jse cylindrical coordinates to calculate fSfw f(x, y, z) dV for the given function and region: f(r, ...

A: We need to evaluate integral using cylindrical coordinates.

Q: y = ² + 3 in the Cartesian form y t Express the parametric f(x). curve x t+7

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Q: At 2:00pm a car's speedometer reads 50mph, and at 2:10pm it reads 65mph. Use the Mean Value Theorem ...

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Q: The line that passes through the points (4, –2,0) and (1, 1, 1) is parallel to which vector? Check a...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 16. Find the area of the shaded region. Leave your answer in terms of pi. 50'

A: The solution is given in the next step.

Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series. 

Q: 5. Graph the linear inequality on the graph. x<-4

A: Given data÷

Q: A radar follows a plane moving overhead. When the radar has an angle of π/6 with the ground the dist...

A: Speed

Q: 3. y = 12 – 3x, y= 4 – x2

A: Given query is to find the area bounded by the curves.

Q: Consider the following. (If an answer does not exist, enter DNE.) F(x) = x/9 – x (a) Find the interv...

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Q: In the process of solving the differential equation g" – 5x'y = cos(5x), x > 0, - which of the follo...

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Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) < 0 and f"(x) <...

A: Given problem:- To select graph  with conditions  f'(x) &lt; 0 and F"(x) &lt; 0 for all x f''(x)&gt...

Q: olve the bessel equatio

A: answer of given question is in step 2

Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

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Q: Let A,B be 2x5 matrices, and C a 5x2 matrix. Then(A-3B)C is * O not defined O a 5x5 matrix O a 2x2 m...

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Q: of the component of the vector AP that is orthogonal to the vector AB. L A B Use the method above to...

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