Find the mass of the two-dimensional a density function of p(x)= x³-5x + 6. object. An oversized hockey puck of radius 5 in with

Q: Find the indefinite integral sin(√) da by using the substitution u = √ and then using integration by…

A: Use the u-subsituation method

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A: z=ln3x+4y , x=s sint , y=t coss

Q: Find a parametrization of the line in which the planes x+2y + 6z= -1 and 2x + 3y +9z = -3 intersect.…

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Q: The integral [7 sin 7 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution…

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A: We have, y=x2 , y= 2x, about the line x= -1

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Q: =x²-2x-3 and the x-axis from x=1 to x=5?

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Q: volume is described as follows: 1 the base is the region bounded by y = 8-2² a and y = 0 .every…

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Q: Find following limits if they exist. Enter DNE if the limit does not exist. 10 10 40 1. lim g(x)…

A: According to our guidelines, we can answer only three subparts of a question. Other parts can be…

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A: Given profit function  p( x ) = 2000xe-x40 Where profit in dollars  x is the units sale

Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

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Q: Suppose you deposit $10,000 into a savings account that earns 3.5% interest compounded quarterly.…

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Q: A plane has parametric equations x = 2-s + 3t = 4 + 3s-t y z = -5 + 2t where s, t E R a) Find the…

A: We need to find the scalar equation of the plane from given parametric form and find the value of k.

Q: Find the area of the triangle whose vertices are given below. A(-6,6) B(3,-2) C(11,-2) The area of…

A: Given: Triangle points:-  A(-6,6) B(3-2) C(11,-2)

Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

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Q: Second derivative of f(x) =2^x/x

A: To find the second derivative of the following function. fx=2xx

Q: Suppose that f(x) is differentiable function Such that f'(2) = 8 f (2) = 4, if then what is the…

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Q: Find the differential of the function. z = x ln(y5 + 2) dz = )dx + ( Jay dy

A: Finding a function's derivative is a step in the mathematical process known as differentiation. The…

Q: 10Let C be the curve defined by the parametric equations x = t^3 - 3t + 2 and y = 3t^2 -9. a.…

A: As per guidelines we support only Frist three part of the questions.kindly repost in next request.

Q: Use the chain rule to find the indicated partial derivatives. x4. x² + x²y₁ x = s + 2t - u, y = stu…

A: To find partial derivatives of z w.r.t. s,t,u   Given z=x4+x2yx=s+2t-u and y=stu2

Q: Show that if f'(x) exists, then we have. lim f(a+h)-f(a-h) = 2f (a) h→0 b

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Q: please provide types solution step by step

A: The average value of a function f (x,y) over a rectangle R is given by  Average = 1AR∫R∫fx,ydA Where…

Q: 1,0 18

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

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A:

Q: 1. For the function ƒ(x) = -x² + 4x + 1, (a) Calculate the average rate of change of the function at…

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Q: (b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² -…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the area of the triangle with (-1,1,-2), (-2,0,1), and (0, -2, -1) as vertices. The area of the…

A: Given: Vertices of a triangle are (-1,1,2),(-2,0,1),(0,-2,-1) We are required to: Find the area of…

Q: 29 / 36 determine the derivative function (for). 9. Let f be the R²R function defined by f(x, y) =…

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Q: Find the plane determined by the intersecting lines. L1 x= -1+2t y=2+t z = 1 - 3t L2 x=1-4s y = 1+2s…

A:

Q: Evaluate the line integral JC 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve…

A: We have, integral 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve connecting (1, 2, 4)…

Q: If the slope of the tangent line to the graph of www y=f(x) at x=a is m (a) = 2a-3, and f(1)=5, then…

A: We have,   m(a) = 2a -3     f(1) = 5

Q: Determine a definite integral that represents the area of the region enclosed by one petal of r = 4…

A: We have,      r = 4 sin (3θ)       a = 0

Q: Find the cosine of the angle between the vectors (1, 1, 1) and (8, -7, 12). (Use symbolic notation…

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Q: 2. Locate all local extrema and saddle point(s) of f(x, y) = xe cosy for (x, y) = (-T, T) x (-π, π).

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Q: Yes or No? If No, give a reason. Let f be a function. 8 and f(8) = 8? (a) Is it possible that f(7)…

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Q: 14x^2-13x-12 using factor by grouping

A: let  K=14x2-13x-12

Q: DEFFERENTIATE EACH OF THE FOLLOWING WITH RESPECT TO X AND FIND del or y'. do Ox-cosx² + y² + 3x5 =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The integral J W 6 3t 1 + 9t² 1 By substitution we have 3 18 1 + 9t² dt can be rewritten as In(1 +…

A: Given:

Q: Solve the differential equation. 5√xy dx = dy dx = 2, x, y>0

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Q: The region bounded by f(x) = -3x² + 18x + 81, x = ( volume of the solid of revolution. Find the…

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Q: If an+1 an then the series Σ an n=1 is divergent Select one: True O False 4n+5 4n+7

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Q: The series Σ n=1 convergent. (-1) " n 0.9 Select one: O True O False Give your reasons is absolutely

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Q: A person has $40,000 to invest. As the person's financial consultant, you recommend that the money…

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Q: Find an explicit solution of the given initial-value problem. x2dy dx =y-xy, y(-1) = -4 y =

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Q: The power series representation of 1 3x + 2 is: f(x) =

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Q: I have a few questions: How did you get from (sin2(x)+sin(x)+5sin(x)+5)/(sin2(x)-12) to…

A: Given:f(x)g(x)=sin2x + 6sinx + 5sin2x - 12   Basic information: 1. x2 + a+bx +ab =x+ax+b2.…

Q: (3) Find the equation of the line tangent to f(x)=√x atx=4

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Q: Given the function f(x) = −2x³ +96x +1, determine the intervals where the function is increasing and…

A: f(x)= -2x3+96x+1 We have to find interval of increasing or decreasing of function and also interval…

Q: Question 5 Which values fall within the range of this function? f(x) = -4x+3+2? Select all that…

A: To determine the value that falls within the range of  the following function. fx=-4x+3+2