50. Find the center of mass of the region bounded by y = x + 2 and u = ² - 4

Q: use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and…

A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

Q: Find the area of a triangle PQR, where P = (6, 3, 5), Q = (0,4, -3), and R=(-6, -1, - 5)

A: As we know that; The expression for the area of the triangle PQR is: A=12PQ→×PR→   Given: P=6,-3,-5,…

Q: 4. (a) Find L 5t cos at - e³ t (b) Find L te cosh 7t].

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Q: Question 1 a) [ the vectors U₁ = U₂ = Find the value(s) of y such that and are parallel. b) [ ]…

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Q: At what point do the curves r₁(t) = (t, 5 − t, 35 + t²) and r₂(s) = (7 — s, s − 2, s²) intersect?…

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Q: True or False: The definite integral 2 L₁ (x + 36 is equal to Select one: O True False 2 [² (x +…

A: We can answer the question as below using the properties of integration.

Q: Approximate the area under the parabola y=x² from 0 to 5, using three equal subintervals. The…

A: We need to find approximate area.

Q: 8) Let a, 32" +45° for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

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Q: Find the value of ff xye**y dxdy (solve) (yeye)(xex - e*) Option 2 O yev (xe* -ex) Option 1 (yeyev)…

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Q: 1.) S dr 3 f from 0 to ³

A: We have to find out the solutions

Q: The demand function for a sofa is given by p= D(x) = 19.2 - 0.2x dollars. Find the level of…

A: We have to find level of production at which revenue will be maximum.

Q: y = f(x)

A: We can answer all the three questions as below.

Q: Given that ∞ Σ n=0 x = 1 to x = - X ∞ n=0 Identify its interval of convergence. The series is…

A: Here, we know that the power series of 11-x is: 11-x=∑n=0∞xn...(1)

Q: Q3/create a matrix A and 1- add fourth & fifth rows equal to [1 2 3] by using [1 2 3] A= 4 5 6 L7 8…

A: Here is the solution:

Q: H.W: Evaluate the integral 1 1 SS 0 y 1. x² exy dxdy 2 2. 1 y 2² SS dxdy

A: To evaluate the following integral. 1 ∫01∫y1x2exy dx dy2 ∫12∫yy2 dx dy

Q: Give a possible formula for the function below. Let A = (-1, 32) and B = (1, 8). Use the general…

A:

Q: Solve the equation. dx 2x1² dt **** An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: Given f(x)=x/(x^2+4) find f''(x). Please do on paper.

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Q: Evaluate FR 1.³ 0 sin(2x + 3)dx None of them 0.9989 0.9899 = -0.9899 1.21 -0.9998 -0.9989

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Q: Solve the following initial value problem. (-1/2) dr de = sin(-60), r The solution is r(0) = (Type…

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Q: Write the partial fraction decomposition of the following rational expression. 3x² - 8x + 20 X(X +…

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Q: Let a = -27 +53 + 4k. Find a.

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Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

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Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

Q: Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147). Use the general…

A: Given problem:- Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147).…

Q: The Taylor series for f(x) = eª at a = -4 is Σ ²n(x + 4)" n n=0 Find the first few coefficients. со…

A: The solution is given below

Q: A card is chosen from pack of playing cards. What is the probability that it is either red or a…

A: We have to find probability of given question.

Q: B: if Z-4x²-8xy +7y5-3 then find Z, Zy, Zxx, Zyy

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Q: Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation…

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Q: an = arn+1 an arn-1 Option 4 The general term of geometric progression is an=arn a" = arn-1 Option 3

A: Topic = Series

Q: A furniture store sells 96 coffee tables per month at $1100 each. The owners estimate that for each…

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Q: 25. Maximum revenue. A deli sells 640 sandwiches per day at a price of $8 each. (A) A market survey…

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Q: puit 2 x³ = x²y sir (22²) X tije xp

A: Solution of given question is written in below steps.

Q: r(x)=x2+5x+4 Find two points on the graph of the parabola other than the vertex and x-intercepts.

A: Solution of given question is written in below steps.

Q: Find the sum of the series: n=0 x7n-6 n!

A:

Q: The derivative of a^u with respect to x is

A: Aim:- To calculate : ddx(au)

Q: Solve: y'' - 4y' + 4y = xsinx

A:

Q: y = f(x) = 8x² - 4x + 5 (a) Find the differential of f. dy = (b) Use your result from part (a) to…

A: Follow the procedure given below.

Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

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Q: 25 5.²5 4 Incx √x dx

A:

Q: Given the vector field F(x,y,z)= , find the divergence and the curl of F. I

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Q: y=x² from (0,0) to (1,1). | Compute the line integral of f(x)=2x over the curve 2009

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Q: Find the curvature and radius of curvature of the plane curve at the given value of x. (Give your…

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Q: Three numbers are in the ratio 2:5:8. If their sum is 60, what is the smallest of these three…

A: Given three numbers are in the ratio 2:5:8. consider these three numbers are 2x,5x,8x. Also given…

Q: Find the value پر 2 2x+3+| dx

A:

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A: We have to find correct option of given integration by dividing limits.

Q: Compute the line integral of f(x)=2x over the curve y=x² from (0,0) to (1,1). |

A: The line integral of f(x)=2x over the curve y=x2 from (0,0) to (1,1)

Q: Two functions fand g are defined in the figure below. (a) ∞ Domain of f (b) Range of f 7 9 Domain of…

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Q: Solve the initial-value problem. dW dt e-4t, for t20 with W(0) = 6 The solution to the initial value…

A: The initial value problem,dWdt=e-4t, for t≥0 with W0=6

Q: Find f'(a) at the given number a.  f(x)=(6x+7)1/2 ,  a = 7

A: Use derivative