5) x² cos x dx

Q: 1. (1+2x) e da

A:

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [8 8y³…

A: Green's theorem is given as  ∫( F1dx + F2dy ) = ∬( ∂F2∂x - ∂F1∂y )dxdy

Q: A rectangular storage container with an open top is to have a volume of 20 cubic meters. The length…

A: The volume of the rectangular storage container with an open top is 20 cubic meters. Let L be the…

Q: 9. r 4 cos = 0 Ꮎ

A: To sketch the curve and to find the area that it encloses. r=4 cos θ

Q: Please help with #15 thanks

A: To solve this

Q: An object moves clockwise around a circular path centered at the origin. The radius of the circle is…

A: Let's first find the equation of the circle with radius 3 centered at the origin. The equation of a…

Q: Consider the following system of linear equations. -5x+20y=-40 -9x+40y=-80 Solve the system by…

A:

Q: PROBLEM NUMBER 7 af² ª ³+1 Using n 6 approximate the value of - de using (a) the Midpoint Rule, (b)…

A: Evaluate the integral ∫171x3+1dx a) Midpoint rule b) Trapezoid rule  c) Simpson's rule

Q: Evaluate (x+y-22) dV where E= {(x, y, z) | -5 ≤ y ≤0,0≤x≤y, 0 <z<x+y²} E

A:

Q: Solve the quadratic equation by using the quadratic formula. 4x² + 5x+3=0

A:

Q: (ії, dy + da зу = 3а2 е-зи

A:

Q: Suppose that the augmented matrix of a system of linear equations for unknowns x, y, and z is 7 2 1…

A:

Q: Consider the following. y -2 -8 - 10 (x, y) = 1 2 3 4 X-6 5 (a) Find the points of intersection of…

A:

Q: Solve the given system of equations. If the system has no solution, say that is it inconsistent. x-…

A: x-y=24x-2z=304y+z=12

Q: Find the indefinite integral. 3 dx

A:

Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: Fx,y=e2x+x2y, e2y-x2y   C is the circle x2+y2=4 oriented clockwise. Here r=2

Q: When subbing in -5x to the given taylor series, Im getting consistent negative terms. so wouldn't…

A: Dear student it is not possible to chat live you have to raise quary by putting question. I am sorry…

Q: Find div F and curl F if F(x, y, z) = 14yºz5i – 7x³z¹ºj – 5xy¹k. div F= curl F=

A:

Q: Describe the given region in polar coordinates. ww. -10 AY 10- -10 10

A: The given graph is:

Q: Find the integral of 12 sin x cos 5x dx if lower limit= 0 and upper limit = π/2. A. 0.2 B. 0.3 C.…

A: As per guidelines, Only one question can be answered out of multiple different questions. Please…

Q: An inverted cone (base above the vertex) is 5 m high and has a base radius of m. If the tank is…

A:

Q: Find the linear function with the following properties. Answer f(x) = f(-6)= -2 1 Slope of f

A:

Q: (b) Find the two points on the surface x² + y² + 24 = 2 where the tangent plane is parallel to the…

A: The two points on the surface x4+y4+z4=2 where the tangent plane is parallel to the plane x-z=5.

Q: Consider the function f(x) = 3-6x² on the interval [-5, 5]. (A) Find the average or mean slope of…

A: fx=3-6x2

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 8 - 2x²…

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  and the given…

Q: If an = F(n) and Eidn is Series of positive terms d Convergent ว Based only on the comparison test,…

A:

Q: Find general solution y B) +y = ex

A:

Q: a) 1 0 0 01-1 -5 8 000-6 1-2 0 4 00 1 6 000 0 The system has no solution. O The system has a unique…

A:

Q: Use cylindrical coordinates to find the volume of the solid. solid inside the sphere x² + y² + z² =…

A:

Q: A population of insects increases at a rate of 210 + 14t + 1.2t² insects per day. Find the insect…

A: dP/dt = 210+14t+1.2t2

Q: Given F f(x,y,z) = (3yz, 3xz+3,3xy + 2z), find a function f so that F = Vf Use your answer to…

A:

Q: 23. r 4 sin 0, r = 2

A: Given curves are r = 4-4sin theta r=4. Red line shows the graph of r=4 and blue line shows the graph…

Q: The function f(x) = 2x³ − 42x² +240x + 7 has one local minimum and one local maximum. This function…

A:

Q: Evaluate the definite integral. (Give an exact answer. Do not round.) 6 [e e8x dx

A: We have to evaluate the given integral.

Q: 2x² − x +4 x³ + 4x Evaluate [ [20 dx.

A: Evaluate

Q: Let f(x) = 4x² + 2x - 8. Answer the following questions. 1. Find the average slope of the function f…

A: SOLUTION:-   Here given function,    f(x)=4x2+2x-8(a) We need to find the average slope of the given…

Q: (x-8)" 6" Consider the series Σ n=0 (a) Find the series' radius and interval of convergence. (b) For…

A:

Q: Consider the series (-1)" (6x+5)" n=0 (a) Find the series' radius and interval of convergence. (b)…

A: We have to find- series radius and interval of convergence, values of x for which series converge…

Q: (3 pts) A window has the shape of a rectangle surmounted by a semi-circle. Find the dimensions that…

A:

Q: Find the volumes of the solids generated by revolving the region between y=3√x and y= about a) the…

A:

Q: Consider F and C below. F(x, y) = x² i + y² j C is the arc of the parabola y = (a) Find a function f…

A: Consider F and C Fx,y=x2 i+y2 j C is the arc of the parabola y2=4x from -1,4 to 1,4

Q: Use cylindrical coordinates to find the volume of the solid. Solid inside x² + y² + z² = 16 and…

A:

Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

A:

Q: 12. Find the coordinates of the points on the curve y = 8 -- 16 x

A:

Q: Please explain the rules applied in each step of the solution

A:

Q: 3) Let R be the region enclosed by x = 2, x = 3, y = 16 – 24

A:

Q: 25. [2.x² 2x² + y² = 18 = = 4 xy =

A:

Q: Rewrite the Cartesian equation y = 4x² as a polar equation. T(0) = Lots for Aif needed.

A: Polar and cartesian coordinate system are related each other as follow x = rcosθy = rsinθ

Q: Compute the indicated derivative using the chain rule. y = u3, u = x − 6;  dy dx

A:

Q: Evaluate the integral f x3_5x−1 X dx

A: ∫x3−5x−1xdx Expand: =∫(x2−1x−5)dx