Use double integrals to find the mass of the lamina ( thin Plate) which occupies the planar region bounded by the straight lines x= -y, x= 2y and y = 1 if the density function 8(x,y) = 3x2

Q: Suppose that it is given to you that f′(x)=(x+5)(10−x)(15−x) 1.The first inflection point (from…

A: Given that,     f'(x)=x+510-x15-x

Q: 1. Evaluate the indefinite integral, ſx² sinh x3 dx.

A: To evaluate the indefinite integral, ∫x2 sinh x3 dx.

Q: 22) If f f(x) dx = 4, Sí f(x) dx = 4, and f(x) dx = 6, find the value of f(x) dx. = a) 2 b) -2 с) 3…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: dy Use implicit differentiation to determine given the equation xy + e = sin(y). dx dy dx ||

A:

Q: For this question, we are concerned with the movement of an object along a path in the plane. We are…

A: Let the points be: O(0,0),A(4,3),B(7,3) & C(10,7)

Q: pls show full solutions and clear   1. Show that the absolute value function is continuous at x =…

A:

Q: (p? –1) cos[cosh (In r)]dr

A:

Q: integrate the following:  Ue the U-substitution. ∫3/(√4x2-12x+9) dx

A:

Q: Answer(8) Linear First Order D.E. Solve the following differential equations of 1-e" dx +2(xe" -…

A:

Q: dy 1+y+1

A: We know. ∫xndx=xn+1n+1 for any real number n. ∫dxx=lnx

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: St² sin(2t*)dt A 1 (sin(2t*) – 2t*cos (2t*)) + C (sin(2t*) – 2t*cos (2t*)) + C 14 B D (sin(2t*) –…

A:

Q: I need help with "Determine whether the lines L_1 and L_2 are parallel, skew, or intersecting. If…

A:

Q: tan3 -dx sec x

A:

Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, –2, 1, 5}…

A:

Q: in Exercises 22-26 solve the initial value problem. 22. y"-7y + 6y = -e*(17 cos x -7 sinx). y(0) =…

A:

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 3t milliliters (mL) per…

A:

Q: Find the derivative of the function g(x) = (3x² + 3x)e" = (æ),6

A:

Q: Can you find the next term in the following sequences? 1. 7,7,7,7,7,... 2. 3,–3,3, –3,3,... 3.…

A:

Q: 6: evaluate öz/du and öz/ðv at the given point (u, v). z = tan (x/y), x = u cos v, (u, v) = (1.3,…

A:

Q: Use integration by part to obtain a formula for f x"e*dx and use it to find S x'e*dx. 3 5x

A: We have to find the integral

Q: Find the area bounded by the graphs of f(x)=x+2, g(x)=3x²+5 , x=-1 and x=1.

A: Explanation of the answer is as follows

Q: [2] Find the infinite sum S below consisting of the terms of a geometric sequence. 1 S= -- -+ 4 8.…

A:

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: 3. The following curves bounds a certain area: y = 4x – x2 y = 4 and x = -2 Determine that area.

A:

Q: Find the area in square units bounded 1) y2 = 4x, x=0 to x= 4

A: Area Bounded by the curves :   If x=f(y) and x= g(y) be two continuous function on a,b and f(y)…

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: |lv|| = 4, e = 3.8° V = Need Help? Read It

A: We will find the component form of v.

Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

A:

Q: If f(x, y) = In(x – 2xy) then fyx (7,7) = 0. Select one: O True O False

A: We can answer the question as below.

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Use vectors to determine whether the points are collinear. (0, –2, –5), (10, 13, 15), (4, 4, 3) The…

A: The given points are,      0,-2,-5, 10, 13, 15, 4, 4, 3

Q: Solve the First Order Differential Equation using appropriate method. Show complete and detailed…

A:

Q: A curve C is defined by the parametric equations x = 1– t2 y = t – t3 (a) Show that C has two…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Sx*e-2x dx e-2 (2x* + 4x³ + 6x² + 6x + 3) + C 4 A e-2x (2x* + 4x3 + 6x² + 6x + 3) + C B -2x 3 x*…

A:

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

A:

Q: 10 2m | (100x – x³) dæ 16 V = = 27 blank – 104 = 27 (blank – = 27 (blank – 2500) =blank therefore…

A: Basic identity of integration is used

Q: Find the derivative of the following using First Principle. 4) y = -2x2 + 3x – 12 5) f(x) = x2 + 15x…

A:

Q: 2 sinh x 2. Calculate the integral, dx. 5+6 cosh x

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: Find the (natural) domain of the function x + 1 2х — 1 f (x) = Select one: a. (-0, –1] U (1/2, ∞) b.…

A:

Q: Given, 1 ) dæ + ( y6 Ах + 1 :) dy = 0 y7 is an exact differential equation. Determine the value of A

A:

Q: 3 V= ㅠ (x4 – 18x? + 81) dæ 3 18x? = T + 81x n 5 3 [(-0)-(뿌 ) -0) + 18.3 3

A:

Q: A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in…

A: P'(x): the rate of change of total profit with respect to the number of tickets sold, x. It is…

Q: )

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -5i + 24j – k v = 5i + j - k O…

A:

Q: DSk = 4x +C = 4x

A: here ?∫ dx = 4x + c now we can differentiate both side so we get the function f(x) = 4 so here…

Q: Use the integral test to determine whether the following is convergent or divergent. Vn(1+/n)

A: Solve the following

Q: The sum of two positive numbers is 16. Find two numbers such that the sum of the squares is a…

A: Given problem:- The sum of two positive numbers is 16. Find two numbers such that the sum of the…

Q: One and only one of the following functions is injective. Which one? Select one: a. f : R → R,ƒ(x) =…

A: Concept: A function y=f(x) said to be injective if there is different output for every input in it…