Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the triangle is a right triangle, an isosceles triangle, or neither. A(4, -1, -1), B(2, 0, –4), C(3, 5, –1) |AB = |AC| = |BC| = O right triangle O isosceles triangle O neither

Q: Is y=e−3x+x−3 a solution to the initial value problem shown below? y′−3x=−8−3y y(0)=−3 yes or no?

A:

Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

A:

Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some…

A: Mean Value Theorem:If the function g(x) obeys the following.  g(x)  is continuous on the closed…

Q: Find the volume generated by revolving the region bounded by the given curves about the y-axis. Use…

A:

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small…

A: Let's find.

Q: (x+1) dx If A B C + + dx ,the values of A & C respectively are (x+2) (x- 1)2 (x – 1)2 x+2 X- 1 3

A: We will evaluate the integral using partial fraction as following.

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 12 sin (x), a =…

A:

Q: Would it be absolutely convergent or conditionally convergent?

A: Let, for the given series the nth term is an=-1nn15+1n23+3.   Using the ratio test of the absolute…

Q: What is the maximum point of the curve y = x3 – 12x + 8   What is the inflection point of the curve…

A:

Q: Answer is incorrect

A: Apologies for the inconvenience. Correct solution is given below:   Given: vt=-4t2-2t-8, 1≤t≤6…

Q: The given DE: (2y3-x3) dx+ 3xy²dy3D0 can be solved by: A 3 methods B 2 methods 1 method D 4 methods

A: Let's find.

Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

A:

Q: 6x2 + 23x – 9 The antiderivative of f (x) is F (x) = a ln (|æ+ 3|) + b ln (Jæ|) + d ln (|x – 1|) +…

A: Given fx=6x2+23x-9x3+2x2-3x We ha1ve to find ∫fx=∫ 6x2+23x-9x3+2x2-3xdx…

Q: Determine the value of C in on the antiderivative of F(x) = sin°X)cos"(x) for x = 0.579 and y = 1.3.…

A:

Q: x° cos (3x) dx X COS

A: Integral by parts:∫ uv dx =u∫ vdx -∫(dudx∫vdx) dxI=∫ x6 cos(3x) dxu=x6, dudx=6x5v=cos(3x), ∫ vdx…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: Given; y=4x2, y=0, x=4   Now find the point of intersection between the curve y=4x2 and the line…

Q: 1. Vk +1- Vk = 1 Consider the sequence ak = and the infinite series ak. Which of the following…

A:

Q: 9- 4x2 de Evaluate: x2 A f (x) /9 – 4x2 -2 sin () +C -1 9 – 4x2 + 2 sin () +C f (x) C None of the…

A: I have appended the formula used in the solution part.

Q: Find a general term (as a function of the variable n) for the sequence…

A:

Q: Given G = {a | a EN and 368 < a < 400} %3D G has subsets. G has proper subsets. Add Work

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

Q: Solve the initial value problem. Determine the interval in which the unique solution of the initial…

A:

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A:

Q: 10

A:

Q: Eliminate all the constant in the equation and simplify your final answer. 1. y = C,x + C2e*

A:

Q: Question 4 is simplified, the equivalent expression can be written in the form x+1, x +-2.…

A:

Q: Determine whether the sequence an = n° + ... + n4 + n4 n4 converges or diverges. If it converges,…

A:

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: Here, the given function is: f(x)=9-x2, a=1

Q: 3. Scscx dx Csc°x

A:

Q: y(x) = tan(V3x² + In(5x*)} - In(5x'

A: Given,           yx=tan3x23+ln5x4To find : Find dydx of following functions by using Chain Rule.

Q: A spherical snowball is melting.  It's radius is decreasing at 0.2 cm per hour when the radius is 14…

A: A spherical snowball is melting.  It's radius is decreasing at 0.2 cm per hour when the radius is 14…

Q: 1000 Use the given below to answer #s 40-42 Given: cos A =. 3/5 and sin B =-12/13, where A is in…

A:

Q: Suppose that f is a twice differentiable function and that its second partial derivatives are…

A:

Q: 5. Find the general solution of the differential equation. Give your answer(s) in explic form. 9a2…

A: The given differential equation is  y'=9x2sqrt(y2-1)/y

Q: The result of the integral in 0 given V Vr²- 25 -dy is 5 tan0 -50 +C, True B False

A:

Q: x2 In solving for the antiderivative of f(x) = (9 – x2)32 using trigonometric substitution, Jf(x)dx…

A:

Q: 19.Which of the following can be integrated using substitution? O A Sæ sin?z dæ O B. Sæ sin(x?) dæ O…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The integral expression Jxsin (2x)dx can be evaluated using integration by parts of the form Judv:…

A:

Q: The OT of the DE of the family of circles with center at the origin is (A) x= ky B xy= k x-y=k D)…

A:

Q: de Evaluate: A f (2) = -3 ln (|Va – 1|) +C ®f(x) = 3 ln (| V – 1|) + C B © f (2) = 3 In (|1 – V7) +C…

A:

Q: Let A=[0 1 0 0 0 1 4 -17 8 ] Show that x = 4 is a root of det(A - xI) = 0. Hence find the other…

A:

Q: What is f 2sm z cos e sin x dæ? 2sin z +C In 2. 2sin z +C In 2 2cos z +C O A. O B. In 2 20os z +C D.…

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: ) Let F(x) = Vt? +7 dt. 3

A:

Q: The diagram below shows the curve with equation sin 0 <I< 2n. The shaded area A is the area under…

A:

Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts Judv= uv- Jvdu Let…

A:

Q: Which of the following is true? O Scos(3x)cos(4x)dx= [ r cos(x) + cos(7x) dx B Jsin(3x)cos(4x)dx= […

A: Option D

Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

A:

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

A:

Q: Consider the geometric series 2n+1 Σ 25 (-3)" n=0 a J: What is the first term of the series First…

A:

Q: ind the local extrema of the function f(x,y)=e* (x² – 2y²) x-y

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: