how do you find the equations of each of the lines (A,B,C(A,B,C) shown on the graph below.

Q: Find the dot product of the given vectors. ü =-i +5j v=-6i-2j u. v =

A:

Q: dy = y + Vx² + y² dr Find the general solution of x-

A:

Q: Which of the following limits can be evaluated using L'Hôpital's Rule? Зх- 12 A.lim x→4 x2 +16 Зx-12…

A:

Q: 議 三 彩券 財 The table gives selected vahies ofrthe velecity, v(.ototicle noving along te raxls. At tine…

A: topic - graph

Q: x² V1-x2 dx Use trigonometric substitution 2.

A:

Q: dP 5. = P- p2 cet Ans: %3D %3D dt 1-P

A: topic - differential  equation

Q: Given: U = {x/x < 21 } note: x are integers A = { x/ x< 11} B = {x/x even nos. < 21} C = {x/x…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: 1. A function y = f(x) is defined in the following graph a. State the intervals where the function…

A: According to Bartleby guidelines , we are supposed to do only three subparts . If you want more to…

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) : to find «(t). %3D r(t) = t’i + t®j %3D 390 t14…

A:

Q: Find the slope and y-intercept of the line through the point (6,7) that cuts off the least area from…

A: The line passes through the point (6,7) that cuts off the least area from the first quadrant.

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a 0 to a 1 NOTE:…

A:

Q: Given the differential equation 8 x y" = Using Reduction of Order and the letter "R" to this…

A: Given query is to find the value of R.

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

A:

Q: dr 4.

A:

Q: 4-x Evaluate f dx. 16-x2

A:

Q: SECTION I: MATRIX OPERATIONS 2 -1 4 -0.5] -1 1.5 0.25 1.5 A = 4 C = -7 B = -3 2.75 0.1 3 |-0.5 1 0.2…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Question : Given the following transformations, write the resulting transformed equation for the…

A:

Q: x y" - 3 y' = 7x Using Reduction of Order and the letter "R" to this differential equation reduces…

A:

Q: Suppose f'(x) = sin(2a“). d f(2x) dx d f (62*) = [ dx

A: topic - derivative using chain rule

Q: Question 2 Find the intervals of concavity of the function g(x)= 3x4 – x3

A:

Q: The rational function 320t V(t) t +3 models the velocity, V(t), in miles per hour, of a dragster t…

A: Distance

Q: f(2) = - 4z' - 2 a) Determine the intervals on which f is concave up and concave down. f is concave…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows:

Q: 1. f(t) = sinh? t

A: Given

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

A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: Evaluate ſ _dx V16-x 4-x

A:

Q: iS dx Evaluate the integral improper integral (2x- 1)3 - 00 1/4

A: we have to find the integral.

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A:

Q: Q3/ Find the area of zone bounded by curves: y= x² , y= 3x+8

A:

Q: ニ1 近。 Question 2 D. O E OA 3. (A) 3. 3. (). 32 3. (C) 16. (B) zg (7) The area of the region enclosed…

A:

Q: Consider the angle shown below, which measures 1 radian. We will center a circle at the angle's…

A:

Q: 20. Write the equation of the line that has the indicated slope and y-intercept. Express final…

A:

Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n 9. 5n 6. D

A: We need to find area.

Q: dr Evaluate the integral / dx. sin x cos x

A:

Q: N = f(t) = 5000exp(-1/12(t-40)^2) is the form for number of infections, where t = 40 is the peak a)…

A: Let's find.

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

A: The given expression for the volume of a tetrahedron is; V=16u·v×w And The vertices are P-6,7,0,…

Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: Given

Q: Vear 2008 16,680 2010 16,858 2012 18,066 2014 21,366 2016 25,085 ind the average rate of growth (in…

A: formula for average rate of change

Q: Find the derivative of the given function. Fill the missing expressions. Use logarithmic…

A: The given function,    y=x.secx.x2+1

Q: (4x* – r*y+ y*)dx + x*dy = 0.

A:

Q: Activities in Logarithm dy Find the dx 1. y = In(x? – 7x) -

A:

Q: Given the differential equation 5 y" = 7xy' Use Reduction of Order and the letter "R" to reduce the…

A: Let y' = R So, y'' = R'

Q: (x³-4) dx x3+2x2+2x

A: Here we have to integrate the given Integral.

Q: f(2) = | Given t2 – 49 -dt 1+ cos2(t) At what value of x does the local max of f(x) occur? | f(x) x…

A: Explained below

Q: Solve the given differential equation. Ans: + cos x = c 1. y' +y2 sin x = 0 %3D y

A: The objective of the question is solving the differential equations.

Q: d d Calculate ri(t)· r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly…

A:

Q: For function f, how would you remove the discontinuity? In other words, how would you define f(5) in…

A: For continuity limit of function at a point should be equal to functional value at that point.

Q: Find f'(x). f(x) = (5x + 7) (1 – V)° 105(5x + 7)° (1 – Vã)° f'(x) = 3(5x + 7)' (1 – Va) f'(x) =…

A:

Q: f(x) is a sin function with amplitute 1, and is such that f(0)=0 f(1)=0 f(x) >= 0 for x element…

A: f(x) is a sin function with amplitute 1, and is such that f(0)=0 f(1)=0 f(x) &gt;= 0 for x element…

Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 8y +3, 0<y…

A: given x=8y+3