S cos ædx from a = 0 to b = %3D %3D 3.

Q: Find the area of the triangle with vertices P(1, 5, –3), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the e...

A: use the cross product and determinant  for solving the area.

Q: We model pumping from spherical containers the way we do from other containers, with the axis of int...

A: To find the amount of the work.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 –...

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Q: Given the function f(t) = 4 e3 Use the Laplace Transform table to convert this function into F(s). f...

A: Consider the function  f(t)=t4e3t

Q: 2. Consider the graph of the function h given below.

A: Given graph  shown is parabola  Opening down side   

Q: 180; 수i1 Question 8 Find the length and direction (when defined) of u × v. u = 4i + 2j + 8k, v = -i ...

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Q: me: urse/Year/Section: Date: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan...

A: We are asked to find the derivatives of the following.

Q: n=1 (Vn+5 Question Determine the sum of the telescoping series below. 00 9 Vn + 6 If the series dive...

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Q: Find the area of the region.

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Q: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

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Q: A chemical substance has a decay rate of 9.5% per day. The rate of change of an amount N of the chem...

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Q: y = cot-1(4-3x2)

A: y=cot-1(4-3x2)differentiate w.r.t.xwe know that,ddx(cot-1x)=-1x2+1Therefore,dydx=-14-3x22+1ddx4-3x2d...

Q: Given: g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 Find (1) the derivative with respect to x and (2) th...

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Q: Consider the following planes. 5x + 2y - z = 44 X - 4y + 2z = 0 (a) Find the angle between the two p...

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Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

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Q: if x s -5 x – 3x-2 if x>-5 2x² + 1 Find the lim f(x) where f(x) = O -80 O None of these O -128/25 O ...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact answe...

A: This question is based on dot product and mod of vector.

Q: Prove that fxy fy x for the following: %3D f = e + x Lny + y Lnx f = xy 2 3 + xy4 f = Ln ( 2x + 34)

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Q: 2xy cos(x^2) - 2xy + 1]dx + [sin (x^2) - x^2]dy = 0

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get rem...

Q: dy Find given that dt dx x + y = 2x + 4y, x= 3 y = 1, and %3D = 6 dt dy %3D dt

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Q: Find the length of the curve defined by 2? = 2y3 from x = 0 to x = 4:|| %3|

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: Question- Set up an integral for the area of the shaded region. Evaluate the integral to find the ar...

Q: I+x 5. Show that y = has three points of inflection and they all lie on one straigl 1+ x2 line.

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Q: Consider the integral 5x dx. (a) Which of the following statements best describe the given integral?...

A: The given improper integral is: ∫-∞-1xe5xdx

Q: passes omma-separated list.)

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Q: S sec 7x tan 7x dæ 4,

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Q: d^2y/dx^2 for y=2x^3-5/x^2

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Q: Suppose 8 is a real number constant. Evaluate the limits, writing your answer in terms of 3 where ap...

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Q: Find d'y/dx? given x= t² – 3, y = 2t – 1

A: First I have find the derivative of x and y with respect to t and then calculate the required deriva...

Q: (Зл — 1)" 5n /n +1 n=1

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Q: Determine whether each statement is true or false. You have one submission for each statement. 9000 ...

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Q: 1. y (x3 +3)5

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Q: 15.

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Q: ability density function over the given interval. Then write the probability density ... (Type an ex...

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Q: 3. Find the following integrals. Most of them (but not all) require partial fraction xdx 2х + 3 b) s...

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Q: 1. f sin³ 4xcos³4xdz

A: To evaluate the given integral.

Q: Evaluate the indefinite integral as an infinite series. ex- 1 dx 2x Σ + C n = 1

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Q: Find dy/dx for thw following function

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Q: Evaluate the limit of the function f(x) = 8r as x approaches T. A. T В. 8 C. 8T D. 0 E. None of thes...

A: The given function fx=8π

Q: Find the differential dy of the given function. y = arctan(x - 2) dy dx

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Q: I. Given the following functions, make a table of signs for f'. Also indicate when f is increasing a...

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Q: [2x² + 1 х— Зх-? if х>-5 if x < -5 Find the lim f(x) where f(x) = x--6 None of these does not exist ...

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Q: dx ·J Ja(cos²(vx)) 1. .2 | x5 ln x dx 2. 3. arctan x dx

A:

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

A: To find the rate of increase or decrease in cost, revenue and profit.

Q: Name: 4.7 Assignment - Multiple Representations of Combined Functions 1. The chart below shows the g...

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Q: e. z = In z,ze f. z z = logz, 2, Zd Zh

A: Please see the answer below.

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: x5 dx 3 (36x2 + 1)7

A: I am attaching image so that you understand each and every step.

Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different way...

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0 →x...

Q: f(x) : 1

A: The given function f(x)=1x2