Use the alternative form of the dot product to find u · v. ||u|| = 50, ||v|| = 35, and the angle between u and v is 57/6.

Q: A. Evaluate the following integrals: 1. sin 'xcos x dx

A: Given: I=∫sin7xcosxdx   ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: The plane that contains the point (3, –1, –4) and the line with equation = y – 1 = 3z is orthogonal ...

A: Let:x-02=y-11=z-013=kL: x=2k, y=k+1,  z=k3P1:(3, -1, -4)Put k=0, k=1P2: (0, 1, 0)P3: (2, 2, 13)Vecto...

Q: You purchase 50 light sabers for 18 dollars and plan to sell them at the yard sale for 87 cents each...

A: topic - Domain and range of a function

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your answe...

A: We will find the distance between parallel planes. 

Q: Given the following inormation about the hyperbola, find both its standard and general form: Foci: ...

A: To solve the following problem

Q: Set up a definite integral that represents the shaded area. y foo A fxdx

A:

Q: 5. Show that, in the region bounded by y = Vx and y = x2 the following double integral 3 (х + у) dA ...

A:

Q: Show that, in the triangular region with vertices (0,0), (1,0) and (1,1) the following double integr...

A: Double integral

Q: (1+sin2x xp: 4. cos²2x

A:

Q: 00 3n + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" o...

A:

Q: Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane. You must suppo...

A: Given problem:- Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane...

Q: Using the table of values, estimate the slope of a tangent line tangent to the curve f(x) = x³ – 27 ...

A: Let's find. 

Q: Find dy/dx by implicit differentiation. 2Vx + vỹ = 5

A:

Q: SS, (x + y)e**-y´dA where R is the rectangle enclosed by x – y = 0,x – y = 2, x + y = 0, and x + y =...

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A:

Q: Implicit Differentiation. dy There is need to simplify. da Use implicit differentiation to find a. c...

A:

Q: The plane that contains the points (-2, 1, 0), (1,0, – 1) and (0, –1, 1) is orthogonal to which vect...

A:

Q: tan (x), cos- (x), or sin (x) input atan(x), acos(x) or asin (x). DO NOT convert answers to decimal ...

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (2...

A:

Q: 1. Find the derivative of the following functions. 1 (b) y(t) = Vi (c) y(t) = - (a) y(t) = t %3D

A:

Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

A:

Q: I Graph the functions in Exercises. of the function on the interval and say where they occur. .Then ...

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple questio...

Q: If f : a, b] → Ris differentiable at a point c E (a, b), then f is continuous at c. True False

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A:

Q: The line that passes through the point (4, –2, 0) and parallel to the vector (1, 2, –3) has symmetri...

A:

Q: ind the indicated partial derivatives of: z = Vx2 + y? Dz

A:

Q: An open rectangular box is to be constructed by cutting square corners out of a 16 by 16 cm piece of...

A:

Q: S sin* e de 4

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A: Let's find. 

Q: Match the second-degree equation to its graph. A. C. r² + y? + 2? – 2x + 2y + 4z + 6 = 0 r² + y² + z...

A: A The equation is x2+y2+z2-2x+2y+4z+6=0  x2+y2+z2-2x+2y+4z+6=0x2-2x+y2+2y+z2+4z=-6x2-2x+1+y2+2y+1+z2...

Q: Find the radius of convergence and interval of convergence of the power series 2" (x – 3)" Vn + 3 n=...

A: Solve the following

Q: iven vector u = (-1, –5) and v = (-2, –1) , determine the value of 5v – u in omponent form.

A:

Q: x², dx e x3

A:

Q: 4. S Vcos²2x + 2sin²2x – 1 dx |

A:

Q: Question 4 Find the points on the curve y = tan æ, where the 2 2 tangent is parallel to the line y 7...

A:

Q: 3. Determine whether the function is continuous at the given values of a. Show your complete solutio...

A: Given function fx=x+2if x≤12x2if 1<x≤3x3if 3<xiTo chaque the function is continuous  at x=1x+2...

Q: In(x) dx; u = In(x), dv = x³ dx

A: Use integration by parts method.

Q: NOTE: Enter the exact answers using the provided round brackets.. (a) Oppositely directed to v = (15...

A: w=(152229,-1229)=(15229458,-229229)

Q: 8. Two ships sail from A at the same time. One sails south at 15 miles per hour; the other sails eas...

A:

Q: In the differential equation (v² – x² – 4x – 1dy+ 2y(x+y+2)dx= 0, ©M _ ÔN ôy Ox

A:

Q: 13. Given y = arcsin(x) – x/1-x² , what is y'? 2r? A) |1-. 2x B) C) D)

A:

Q: 5-10 Find the Maclaurin series for f(x) using the definition of Maclaurin series. (Assume that f has...

A:

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

A: By using the fact that the volume of a tetrahedron with adjacent edges given by the vector u,vand w ...

Q: 1) Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top...

A:

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A:

Q: considering that the rate of decay is proportional to the cube of the material

A:

Q: | by inspection: (3y° + xy kdx + (x°y² – 2}kty = 0 1. Integrating factors found

A:

Q: Differentiate y = (x^2– 4)1/2/(x^2) + (1/2)[Arcsec(x/2)].

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Let's find. 

Q: 9. The normal line to the curve y = x at (1, 1) intersects the curve at another point Q. What is the...

A: Given problem:- The normal line to the curve y = x2 at(1, 1) intersects the curve at another point Q...