1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6k a. Find the volume. b. Find the area of the face determined by u and w. c. Find the angle between u and the plane containing the face determined by u and w.

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of V ortho...

A: Solving questions

Q: y?sinx + y = arctanx, solve for y

A:

Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 3k w =i+ 6j + 4k Find the v...

A: Let's find. 

Q: What are the inflection points?

A:

Q: Find the area of the region bounded by the graphs of f(x)=5-x^2 and g(x)=x^2-3.

A:

Q: Solve the equation z- 12=j(9-2z) where z is the complex conjugate of z

A:

Q: 5. Verify that the hypotheses of the Mean-Value Theorem are satisfied by the function f defined by f...

A: Given,            fx=25-x2 on -5,3

Q: х — х? -Зх- 2 dx - x' + 4x? - 4x | 4

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Given that {an}n=1_is convergent such that a1 = V5 and an+1 V5 an- %3D Solve for lim an n 00

A:

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4 (d...

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y ...

A: Given: y=1x, x=1, x=6, y=0 From the given curve the bounded region is as shown below; Apply the dis...

Q: Verify that the series Σ n=1 satisfies the conditions of the Integral Test, then use the Integral Te...

A:

Q: Consider the region R bounded by y = x², y = x,x = 0 and y = 0. Find the following. (a) area of the ...

A: Region R is bounded by y=x2, y=x, x=0 and y=0.We have to find the volume of the solid when region R ...

Q: Find the average value of f(z) - Va on the interval (0, 16). favg- Enter your answer as a fraction.

A:

Q: . lim 3x2 - 9 X-0

A: Let L is the value of given Limit.

Q: x5-3 14. S4 cos (-3x + 2) dx

A:

Q: A tank in the shape of an inverted right circular cone has height 9 meters and radius 19 meters. It ...

A: Solution: Given, In an inverted cone-shaped tank, Height = 9 m and radius =19m The chocolate height ...

Q: -x – 2 2x + 8 f" (x) = f(x) = (x – 2)² f' (æ) = %3D (x – 2)³ ' (a – 2)4 Find the domain, intercepts ...

A:

Q: Use Polya’s four-step problem solving strategies. Show complete solutions (a) A local furniture st...

A: To find: The original price and the saving if furniture bought at the sale by the use of Polya’s fou...

Q: Find the absolute extrema of the function f(2) = 6a? – a³ on the interval – 1 < e < 7 This function ...

A: Here we have to find the absolute extrema of the function f(x)=6x2-x3.

Q: eY+Ve2y-4 5. x = In sove for y“ 2.

A:

Q: Given f(x)=x+2. Use the definition of derivative to find f'(x).

A:

Q: Use implicit differentiation to find y' and then evaluate y' at (- 1,1). x In y + 3y = 3x³ y' = D y'...

A:

Q: 10. ((ex-2)2 e 2x + 4 S dx

A:

Q: 2, If fCx)=xInCx²+), find the ea uation for t4e tan9ent 1ine to fCx) at x= 3.Hint: Remember the tang...

A:

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

A:

Q: Integrate the function. dx x2+ 8x + 32 A (2x + 8}In]x2+ 8x + 32|+ C B X+4 tan + C 4 sin + C (*+4) X+...

A: First simplify then use the formula of integration and get the final result 

Q: An open rectangular tank of length 2x meters, width a meters and height h meters is to be constructe...

A:

Q: Tank A contains 402 litres of brine holding 123 N of dissolved salt, and tank B contains 402 litres ...

A:

Q: 3. Find the angles between the vectors: u = 2i + j, v = i + 2j – k b. u = 2i – 2j + k, v= 3i + 4k а....

A:

Q: A circular swimming pool has a diameter of 24 ft, the sides are 5 ft high, and the depth of the wate...

A:

Q: sin? 0 = 4 1 Add file sin 20 – cos 0 = 0 1 Add file

A: Solve for thetha.  Using cos(π-x) =-cosx

Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

Q: 2. Solve the following system of equations using the Gauss and Gauss-Jordan elimination methods. 2x1...

A: Here we have to solve the given system of linear equation by using the Gauss-Jordan elimination meth...

Q: for a given function f (t)= f(-t).  what type of symmetry does f(t) have

A:

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

A: Given : A(1,0) B(2,1) C(1,-2)

Q: 3. Find the angles between the vectors: u = 2i + j, v = i + 2j – k а. -

A:

Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take ...

A: The given problem is solved below in detail.

Q: Hw.s Anofen cylinder Can has an inside radius 42cm and an inside height ofs cmuse he total derivativ...

A: This is a problem of calculating volume of the cylinder. Based on the general formula of the volume ...

Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

A:

Q: 4. The foci have coordinates (-8, 0) and (4, 0) and a vertex at (8, 0)

A:

Q: goldsmith finds that the demand for gold is governed by p(x) = -x² + kx, here x is in (troy) ounces,...

A: Solution is written in below steps.

Q: 1. Let {an}ı be a convergent sequence defined by a1 V5 and an+1= V5an. Find lim an. n 00

A:

Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x- a...

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

Q: Activity on ELLIPSE Directions: Determine the equation of the ellipse in Standard Form and General F...

A:

Q: Directions! show the following. f3-x x22 is dircontinuons on the interal (-,2| %3D -3

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: To find out the distance from the point P to the line through A and B using the method given. 

Q: 3. Find the angles between the vectors: a. u = 2i + j, b. u = 2i – 2j + k, v = 3i + 4k v = i + 2j – ...

A:

Q: swer.

A: