Find the unit vector in the direction of v. v = -6.3i + 3.7j = n

Q: Find the volume of the solid generated by revolving the specified region about the given line. R abo...

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Q: Consider the following graph. (4, 5) (1, 3) 1. (a) Find the component form of the vector v. (V, V2) ...

A: Given a graph showing the vector. 

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Q: integrate x^4cotx^5 dx from 0.4 to 0.8

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Q: Find the value of real number if the complex number is 8 + 9j = 0

A: A complex number is a number of the form a + bi, where a and b are real numbers A IS Real part  bi i...

Q: Find all the local maxima, local minima, and saddle points of the function. 2 f(x,y) = x - 4xy +y + ...

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Q: trakuak the triple Integral

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Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. (b) Fi...

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Q: When two pure notes that are close in frequency are played together, their sounds interfere to produ...

A: Given data÷ f1t=cos17t f2t=cos19t ft=f1t+f2t

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Q: y(x) =x' (2x – r²)

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Q: 00 Consider the series 2 (-1)"+3 Which one of the following is TRUE? n=1 A. The series is conditiona...

A: Use  appropriate test for checking the convergence of series.

Q: Given vector u = (6,6) and v = (-1, –5) , determine the value of 2u + v in component form.

A: Explanation of the answer is as follows

Q: The distance traveled by a rocket (in feet) after launch is given by the function f (t) = -16t? + 1,...

A: Given query is to find the velocity after 15 second.

Q: dw and Assume that w =f(s +?) and f'(x) = e*. Find dw dt dw ds II

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Q: 4. x(x² +y³}°(ydx = xdy) + y°dy =0 Ans. (x +y') = 6y°ʻ In

A: As per our guidelines we can help you in solving only first problem. Rest of the problems, you have ...

Q: Find the common ratio and write out the first four terms of 7n+2 the geometric sequence 6 Common rat...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Find the interval of convergence of the series k(x+ 2)* 5k+1 k=1

A: The given series is: ∑k=1∞k(x+2)k5k+1...(1) Let, ak=k(x+2)k5k+1; k≥1

Q: Find the angle 0 between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) %3D | (a) ra...

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Q: Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate pla...

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Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1 D...

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Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

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Q: x 9x x-3 f(x)=9x/x-3 -100000       -10000       -1000       1000       10000       100000         b...

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Q: Write out the first five terms of the sequence (-1)" n2 , determine whether the sequence n=1 converg...

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Q: Find u x v, v x u, and v x v. u = 3i + 7k v = 5i + 9j – 3k. (a) u x v (b) V Xu (c) V X V

A: Given query is to find indicated cross product.

Q: cos (0-4)–1 lim (a) 20 – 8 (10х— 2)* lim (b) x0.2 10х-2

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Q: 17. log (x² + 3) - log(x + 6)

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Q: Sketch the region enclosed by the curves and find its area. 1 y : V1 – x²' y = 2 NOTE: Enter the exa...

A: Intersection points:y=22=11-x21-x2=14x2=34x=±32(±32, 2)

Q: (b) Sketch the vector with its initial point at the origin. Consider the following graph. 6 5- (4, 4...

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Q: wing series is convergent or divergent using the appropriate test cos 3n (g) 1+ (1.2)" n=1 (h) (1+ 2...

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Q: Find dy/dx by implicit differentiation. exly = 4x – y

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Q: Find the volume between the cone x = sqrt(y^2 + z^2) and the sphere x^2 + y^2 + z^2 = 4

A: The cartesian to spherical conversion is given by: x=r cos ϕy=rsin ϕ cos θz=r sin ϕ sin θ Now, in th...

Q: Consider the function f(x)=1/x+4. Complete the table of values below. x f(x)=1/x+4 -1000...

A: The given function,       fx=1x+4

Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges...

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Q: 85 lb in wat

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Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $50/f...

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Q: Find u x v, v x u, and v x v. u = 3i + 7k v = 5i + 9j – 3k. %3D (a) u x v (b) (c) V X V

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Q: Use the definitions of the hyperbolic functions to find each of the following limits. (If the limit ...

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Q: O Evamate the triple integral メ2 "Sinydy dzdx

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Q: , evaluate the given double integral. I sinxcos(y – n)dxdy 10.

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Q: Find u v, u u, ||v||², (u · v)v, and u (3v). u = (3, 10), v = (-4, 3) %3D (a) (b) (c) ||v|

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: 7. A yeast culture at room temperature (68°F) is placed in a refrigerator maintaining a constant tem...

A: Given,           A yeast culture at room temperature 68°°F is placed in a refrigerator           mai...

Q: |cos 4x cos 2xdx 3.

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and indic...

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Q: 2. For the function g(x)= 2x^3 − 3x^2 a) State the domain of g(x). b) Determine the critical number...

A: The given function is: g(x)=2x3-3x2⇒g'(x)=6x2-6x=6x(x-1)

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Here we have to determine whether the given sequence is divergent or convergent.

Q: A company determined that the marginal cost, C'(x) of producing the xth unit of a product is given b...

A: To find out the total cost function. 

Q: Direction of opening: Zeros: y-intercept: Vertex: Axis of Symmetry: Max or Min Value:

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Q: Find the Maclaurin series of each of the following functions by using one of the series listed in th...

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