D) Find the parametric and symmetric equations of the line through the points(1, and (-5, 4, 2).

Q: 9. An object moves with velocity given by v(t) = 2t3 such that s = 8 when t = 0. Find the equation o...

A: Given: vt=2t3 ; s0=8   We know that, The expression for the velocity; v=dstdt And The Power rule: ∫x...

Q: Write the expression as the sine, cosine, or tangent of an angle. tan(7/15) + tan(4z/5) 1 – tan(x/15...

A:

Q: S(6w +12w) Vw + w° dw

A:

Q: If a region have axes of symmetry at y = x and y = -x then its centroid is at the origin. True O Fal...

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 EJu. (v x w)| to determine...

A: The volume of tetrahedron can be calculated using scalar triple product of u,v,w.

Q: : Give the following formulas ① Volume and surface area of a sphere (diameter = a)

A: We know volume and surface area of a sphere

Q: 21. Determine whether the function g(x) =2+x, x<2 a. Continuous b. Discontinuous is continuous at x=...

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If y...

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

A:

Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O...

A: We will prove that the length of the common chord is the given term as following.

Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this t...

A:

Q: 2. Given: LKEI S LTEI Prove: AKET ATEI Proof: Statements Reasons 1. 1. 2. 2. 3. 3. El EI 4. 4.

A:

Q: At which value/s of x does the graph of y = x - 6x² +9x- 2 have a horizontal tangent line? Write the...

A: Given: y=x3-6x2+9x-2 We know that a function has a horizontal tangent at the point where derivative ...

Q: Two cars are approaching an intersection on roads that are perpendicular to each other. Car A is nor...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: Find the volume of the following solid. The solid above the region R= {(x,y): 0<x<2, 0sy<4-x} and be...

A:

Q: When the qiven function f(x) = cx^3 - 3x^2 + dx - 4 is divided by (x+2), the remainder is -34. When ...

A:

Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)...

A: Slope is already given. And for slope we have to find dy/dx  and then simplify. 

Q: Determine the point elasticity n of the demand equation pq+ p+ 50q = 10,000 when p = 200. On--0.820;...

A: Based on the general formula of elasticity we will solve the question. Please follow the procedure g...

Q: (2+x, x<2 15. Given the function g(x) = l6-x, x22 Find g(2). a 1 b. 2 C. 3 d. 4 16. (Refer to item #...

A: We have to choose correct option

Q: Given the function (x³ – 2x 2 if x < 2 f(x) = v2 - x if x 2 2 Determine if f is continuous at x1=2. ...

A: Continuity 

Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of integra...

A:

Q: Q1: Answer A OR B A - Evaluate the following integral. e2x cos3x dx

A: let I=∫e2xcos(3x) dxlet  u= cos(3x) ,  v =e2x I= ∫cos(3x) e2x dx∫cos(3x) e2x dx= cos(3x)e2x2+∫3sin(3...

Q: 27 2 1-0°ス 2n り=o

A:

Q: - Evaluate the following integral. |e2* cos3x dx

A:

Q: 5. S(4x+ 2x 1) (12x+ 4x)dr

A:

Q: Biologists stocked a lake with 250 fish and estimated the carrying capacity (maximum pop- ulation fo...

A:

Q: Select ALL possible answers if there is more than one. Below shows the graphs of the slopes of the t...

A: The slope of the tangent line represent the derivative of the function.

Q: Consider the points A(3, -3, 5), B(5, –5, 2), C(-1, –4, 2), and О(4, 1, -8). a) Find the volume of t...

A:

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: There is condition When Graph is not Continuous, that means graph is not breaking at any point  so t...

Q: Use the intermediate value theorem to determine whether the function f(x) = x° + 6x- 8 has a root or...

A: Now to get it is he hard part. You have to start with 1 and 1.5 as borders. If the root lies within ...

Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

A:

Q: Find the exact value of sin 20, cos 20, and tan 20 using the double-angle formulas. cos 0 = 5 13 S <...

A: Given cosθ=513We know that sin2θ+cos2θ=1sin2θ=1-5132        =1-25169        =144169Sinθ=-1213 (As si...

Q: Determine whether the improper integral diverges or converges. 1 dx e6x + e-6x converges diverges Ev...

A:

Q: Find d'y /dx? Y = xtan (=)

A: d²y/dx² means we have to calculate second derivative of the function.

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

A:

Q: Find the area of the region bounded by the given curves. y = 9x In(x), y = 36 In(x) %3D

A:

Q: EVALUATE THE INTEGRAL

A:

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: We have to check weather the given graph is continuous but not differentiable.

Q: V+12-4 3 .lim X-2 tan3x 2. lim X-0 sinax 4). lim X00 x-7x+1 x-2

A:

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

A:

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Evaluate the given integrals. 5. S(1 – cos 0) csc²0 d0 -

A:

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A: We can find the integration as below using standard formula.

Q: Find the general solution of the differential equation. 55y4) + 49y" + 4y= 0 y(x) =D %3D

A:

Q: Use Stoke's th corem to eval uate S F.dr = SS curl F. û ds, wher F=iyajz+ fx and s is the surface of...

A: We have to evaluate the integral using stoke's theorem.

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y

A: area of the bounded by the y=1+lnx3x

Q: continuity

A:

Q: dx T² + 4 2

A: We have to find value of indefinite Integration.

Q: Indefinite Integral Determine f(x) given that f'(x) = 6x³ – 20x +x² + 9 B.Determine f(x) given that ...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: etermine f(x) given that f'(x) = t* – t³ + t2 +t – 1

A: