3. Determine if triangle ABC is a right triangle. Show and explain your work. A = (5, 6) B = (0, 2), C = (-4, 3).

Q: 1) Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A: Question is incomplete

Q: x/2 2. dy Sin x dy +34 2- X 2

A: A detailed solution is given below

Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

Q: 6. the vorume formed by revolving about OY the area in the first quadrant bounded by y-4ax, y-D0,…

A:

Q: -2 Evaluate dx ех

A: The objective of the question is evaluate the definite integral.

Q: Evaluate 4 dx V4-x2

A: To find out the integration.

Q: Find and classify the critical points of the function: f(z, y) = 1' + y* – 144zy + 4 Local maximums:…

A:

Q: x/2 dy 2. - ५ = sin x dy +34 d x 2- X 2

A:

Q: 2 Findd eigenualy gse for -57 OA- to 17 -7 L-4 26

A:

Q: 6) By implicit differentiation find a) xy + y´ = 2 find d´y/ dx² b) sin(x²y²)= x _find dy/dx

A:

Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

A:

Q: x^2 dx V1+x^3

A:

Q: 1 х-х2 dx -8 2

A:

Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

A:

Q: Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists of…

A:

Q: Find the following. X - 12x dx Write the integrand using rational exponents. - 12x- dx dx = (Type…

A:

Q: 1 dy Solve the initial value problem of - 2 dx y +1 cos x , y(n) = 0

A:

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A:

Q: Harmonic Sequence Solve the following harmonic sequences. 1 1 1 4. What is the sixth term of the…

A: We have to find the sixth term and second terms in the following harmonic series.

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 4. A ball rolls horizontally off a cliff at 10 m/s. It takes 20 seconds for it to hit the ground.…

A: height = (1/2)gt2 +v0t  but here v0 = 0 for initial  height = (1/2)gt2 height = (1/2)(9.8)(20)2…

Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

A:

Q: | 4r* cos y dA; R = {(r, y) : 1 s r s 2, 0 sysa/2}.

A: Given: I=∫∫R4x3cosydA and Rx,y: 1≤x≤2, 0≤y≤π2   As we know that; ∬dA=∬dxdy or ∬dydx And The Power…

Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

A: Given problem:- Sketch the regions of integration and evaluate the following integrals. ∫R∫ 3x2dA ,…

Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: 8) Find the limit (exact value) a) lim Vy - 3y – y ytoo tan ax b) lim- x→0 sin bx (a ±0,b± 0)

A:

Q: ) frnd the sum of the fitst 20tems în Grthimet senies the -6-12 18- A -2526 B -1266 Sn=g(aitan)…

A:

Q: Evaluate the integral: T So sin(x)dx

A:

Q: For the implicitly defined curve: cos(7y) 5y sin(x) dy (e.g., find y' ). dx a. Find a formula for dy…

A:

Q: Consider the paints A (-2,3.1), B(0,0.2) and C (-1,5.-2). (1.) Find a vector of length T in the…

A:

Q: [1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the…

A:

Q: 15. xydx + 2(x² + 2y²)dy = 0

A:

Q: C. Solve as indicated. 2. Find the first 10 terms of a sequence in which the fourth term is 114 and…

A: Let us consider an A.P series with first term= a and common difference=d  Then the nth term =…

Q: rounded to the nearest hundredth as needed.)

A: We have to find the producers surplus according to the given information

Q: sin(4z) 7. lim I-0

A:

Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option

Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: You measure 43 dogs' weights, and find they have a mean weight of 34 ounces. Assume the population…

A:

Q: An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is…

A:

Q: A ldentifcation. Tel whether the folowing sbligve triangle is Case , Case 2, Cae 3, Case4or Case…

A: The question is not clear

Q: Find the cost function if the marginal cost function is C'(x) = 6x -7 and the fixed cost is $7.

A:

Q: 16x²+9y²=144, (first quadrant area)

A: ∫a2-x2 dx = 12xa2-x2 +a22 sin-1xa+C

Q: 2. Circular Rings/Washer Method a. y = x2,y = 4x, about the x – axis %3D -

A: Volume = 428.93 cubic units The solution is given below in detail.

Q: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: Use n= 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

A: The given integral is 5/x2 limit from 1 to 4.

Q: v 5 0 1 Given A = 2 3 1, B=|-2 w 3 4 2 x, C = -2 1 0 and D=[2 1 4]. [-2 0 1 y 3 [-2 1 a (a) Find the…

A: (a) For that, to find inverse matric of A.