Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1) Determine the unit vector having the same direction as B – 2A + 2) Draw or sketch the vector that you get in number (1) 3) Determine scalars a, b and c such that aA+ bB = (c– 1)C. %3D

Q: Sketch the following function and classify the points of discontinuity. y = x for a -2 Input the…

A: Let's find.

Q: 2dy Зу-4

A: Use the method of substitution and solve the integration.

Q: Find the derivative of the following functions and simply it whenever possible. 9. y = e-4x

A:

Q: 1. Linear equation of order one: dy-(r-2ydx=0

A:

Q: Given the function,y a +3x which of the choices is the correct second step based on the four-step…

A:

Q: The standard form of the first order linear differential equation xdy+(2xy – 3y-4x“ )dx= 0 is_

A:

Q: tan zdr

A:

Q: Find the derivative of y = x²( - %3D x2+1

A:

Q: sing the four step rule, find the derivative of y = tan(x) %3D

A:

Q: If the series 1(-1)" 2 were approximated using its first k terms, what would be the smallest number…

A: We have to find the smallest number of k such that the error bound would guarantee an error of not…

Q: Find parametric equations of the line through (-3,0,9) that is parallel to 2i-6j+k. x(t)= 11 y(t) =…

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

A:

Q: Consider the sum In(2.25) · 0.25 + In(2.5) · 0.25 + In(2.75) · 0.25 + In(3) · 0.25 + In(3.25) · 0.25…

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

A:

Q: The linear differential equation x*dy+ (2y – 3x² y– x³ \dx = 0 has the integrating factor equal .…

A:

Q: The following vectors are in 3D. Write in a unit vector form and find its magnitude. а) k%3D…

A:

Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

A:

Q: In x2/25+ x² dx , we let x = 5sine. (A) True False

A: FALSEHere , the correct substitution is x=5tanθ differentiatate On both sidesdx= 5 sec2θ…

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 3 TO 57 3 2. 3…

A:

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t = 0 1 1 1 T(0) = V3'…

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: Find the derivative of the following functions and simply it whenever possible. 5. y = 4x ln 4x

A:

Q: 5. Use differentials to find the approximate value of [(5. 99)² + (8. 03)²+ (4. 98)]' decimal…

A:

Q: 3. Given the parent function f(x) = |x|, write the equation of the function g(x) whose graph is…

A:

Q: what is an arithmetic sequence, the history , definition and uses?

A: We are asked to write about an arithmetic sequence

Q: Evaluate r(3+2r + r²) Find the limiting values of: 3x2 + 5x – 4 5x² – x + 7. x² + 5x – 4 Зх + 1 -…

A: 1. ∑r=18r3+2r+r22.a) 3x2+5x-45x2-x+7b) x2+5x-42x2-3x+1

Q: 4. P(1,-4,-5) and parallel to the plane 2r +4y- z 0. Also, sketch the graph of 2. Determine the…

A:

Q: Compute the derivative, and simplify your answer. You must show your work. t3/2 +t1/2 dt d dx

A:

Q: Test the series below for convergence using the Ratio Test. n + 4 53п + 4 n=1 The limit of the ratio…

A:

Q: Using mathematically precise language, explain in detail how you would multiply the complex number…

A:

Q: Find the derivative of the following functions and simply it whenever possible. 6. y = ln(ln sec x)

A: The given function is y =lnlnsecx We have to find derivative of the function. We know derivative of…

Q: sin x dx cos3 x – 8 - 8

A:

Q: s at every number in its domain. 2x+1, f(x) = if x 5

A: Given : f(x)=2x+1      if x≤3ax+b     if 3<x<5x2+2     if x≥5      To Find : Value of a and b…

Q: y2, the y axis and y 1, rotated about the line y = 2. The rectangular elements are parallel The…

A:

Q: V1- a² dx a) The integral above corresponds to the sum of the two shaded areas on the right. What is…

A: Let's find.

Q: Let g(x) = | f(t) dt where f(t) is the graph shown below. a) |Determine g(8) and g(-4). b) the…

A:

Q: Let f(x) = In(x") in the interval [1,9]. Determine the value(s) of 'c' that satisfy the Mean Value…

A:

Q: At time t=0, two cars are next to one another on a long straight road. The functions that give their…

A:

Q: Find an equation of the plane through (1,8, 5) that is perpendicular to the line x – 2 = 3t, y + 3 =…

A:

Q: 8xー3x+x dx

A:

Q: The motion of the particle is given by the equation v (t) = 2.00 t² – 3.20 t³ . What is the average…

A:

Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

A: Given query is to find the derivative of the expression.

Q: t3 after takeoff (where s is in meters), If a rocket travels according to the function s = then its…

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

Q: cosßdß 2+3sinß

A:

Q: 1. Linear equation of order one: dy-(r-2ydx =0

A:

Q: Given that Vf (3,-3) = 7i- 6j, find the directional derivative of the functionf at the point (3,-3)…

A: Given query is to find the direction derivative.

Q: 15. What is the general solution of the exact differential equation (x + siny – cosy)dx + x(siny +…

A:

Q: Consider a triangle ABC like the one below. Suppose that B=114°, C=40°, and c=47. (The figure is not…

A:

Q: Integrate completely

A: Given,             ∫2x+12x-53dx

Q: 4. Evaluate: lim (x,y)→(3,2) x cOS TY

A: To evaluate the limit of the given function, substitute x=3 and y=2  in the given function.