Which of the following graphs represents the function g(x) = x(x + 1)²(x − 2)? g(x) 4 4 3 g(x) 4 3 O O 4 4

Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

A:

Q: [1 if A= 2 13 2 1 -2 * find det (A) if 3 3 -11 6 O 38 O 16 O 18 O 48 O

A:

Q: The graph above is a transformation of the function f(x) = Write an equation for the function…

A:

Q: 1. J tanßsec2ßdß 2. (tan0 – 1)2d0

A:

Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

A:

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A:

Q: Determine the orientation of the concaves of the following function

A: See the answer below

Q: dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: To find whether given differential equations are which one of the following in the given options.

Q: area enclo fencing is m². Fence ε = www. 10x Building

A:

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

A:

Q: Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

A: The simple use for plane and point and normal vector..

Q: 0 3x - 4x 5× dx

A: We have to solve given Questions.

Q: UT 5 4 3 2 1 Find lim f(x) 3 05 2 04 O Does not exist 2

A: Given

Q: Solve the differential equation (18xy + 18y²)+(6x² + 18xy)y' = 0 using the integrating factor u(x,…

A:

Q: Find the arc length of the curve y = 2/3 (x − 1) raise to 3/2 on the interval [2,3]

A: We have to find the arc length of the given interval [2,3] .

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A:

Q: 2 ln x + ln (x+1)- 1/2ln (x^2+1). Compress the logarithmic expression.  PRE-CALCULUS HW question..…

A: The given expression,   2 lnx+lnx+1-12lnx2+1

Q: Find the general solution of the given differential equation. y' + 3x²y = x² y(x) = Give the largest…

A: The solution is given in the next steps.

Q: Given the function z= f(x, y) = ln(x² + xy - y²), find the following: a) Find gradient at the point…

A: As per our guidelines we are supposed to answer only first three subparts of the question. Kindly…

Q: 8 11xe-x dx

A:

Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

A: This question is related to vector integration ,we will solve it using given information.

Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

A:

Q: Direction cosines are calculated using: The angle between a vector and one of the coordinate axes.…

A:

Q: Laplas Inv Q1/ Find -1 s² (s+1)(S-1)²

A:

Q: The following limit gives the derivative of a function f(x) at a point xo: lim h→0 (2+h)³-8 h -8)…

A:

Q: 04:B/ Simplify Moivre's theorem? [cos 30+ i sin30 15[cos 0-i sine 1³ [cos 50+ i sin50][cos 20-i…

A:

Q: The curve y = ax² + bx+c passes through the point (3,6). The line y = 4x + 1 is tangent to the curve…

A:

Q: 3. Choose three vectors: and Use these vectors to verify the associative property.

A:

Q: Determine whether the differential equation (7x² - 2xy + 6) dx + (7y² − x² + 7) dy = 0 is exact. If…

A: The differential equation,    7x2-2xy+6dx+7y2-x2+7dy=0

Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y — y³ dx 2x + 3xy²…

A: This question is related to differential equations, we will solve it using given information.

Q: [1 if A= 2 13 23 2 1 -2 find det (A) if 3 3 -1. 6 O 38 O 16 O 18 O 48 O

A: The solution is given in the next step.

Q: Solve the differential equation where y = 8 when = 0. y + 3y x + 3 = (x+3)8

A:

Q: B) Evaluate the line integral of the function P(x,y) dx + Q(x,y) dy. over the curve C where…

A:

Q: b. ·(b³ + a³) units³ 3 d. -b³ + a³) units³ 16. The arc length is defined as if y=f(x) is a smooth…

A: We have to find the arc length of the curve y=f(x).   According to guide line we solve only one…

Q: find the area.  x^2=8y and x=y+1

A:

Q: (b Set up (but do not evaluate) the given integral in the order da dy dz. Show your work!

A:

Q: Consider the initial-value problem y' + ey = f(x), y(0) = 1. Express the solution of the IVP for x>0…

A:

Q: Find the equation of the line L2, pass through the point (2,-1) that is parallel to the line L1…

A: The line L2 pass through the point 2,-1 that is parallel to the line L1: 2x+4y=12

Q: ſº 5u³ – 3u³ – 9du

A:

Q: 17. A spring has a natural length of 20 cm. A 40 N force is required to stretch (and hold the…

A:

Q: Determine whether the differential equation (4x² − 2xy + 6) dx + (2y² − x² + 4) dy = 0 is exact. If…

A:

Q: 1. S x4+a4 dx x3 2. Jydy √a2-y2 3. I cos2tdt (1+sin2t)4 4. I tanßsec2ßdß 5. [(tan) – 1)2d0

A: We have to find  the value of given intregation.

Q: Find the solution of the given initial value problem. π ty' + 2y = sint, y "(-) = 5, t > 0 Y ||

A: Concept: linear differential equation of the form dydx+Py=Q The general solution of the linear…

Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² +8 x² + 2xy dx…

A:

Q: 16. A cup like object is made by rotating the area between y = 2x² and y = x+1 with x> 0 around the…

A:

Q: The equation of a surface in spherical coordinates is given by p= 6. Rewrite this equation in…

A:

Q: • Find the volume generated by revolving area about the given line plane the given

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A:

Q: Q2:/Sketch the region (R) of integration f (x² + y²) dydx and evaluate the integration. Then reverse…

A: To evaluate the value of given double integration.

Q: Differentiate the function. G(x) = (x³-8). G'(x)= 2 x + 25 x²-25

A: