Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -72

A: To evaluate: ∫02∫-72y2∫-48zyz dx dz dy

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = V x2 + y2,…

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Q: The intelligence quotient, or IQ, is a measure someone ability to reason and solve problems (some…

A: This question can be solved using the concept of normal distribution.

Q: Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: Find the centroid of the region R bounded by the graphs of y = x² and y = 1.

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 5…

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Q: ne area Of Lhe region

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Q: Find the extremum of f(x.y) subject to the given constraint, and state whether it is a maximum or a…

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Q: moving in the xy-plane. Position Vector Point r(t) = 6 cos ti + 6 sin tj (3/2, 3V2) (a) Find the…

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Q: Question 8 Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the…

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Q: Consider the equation y"+ay'+by=f(x) where a and b are real constants. If the general solution of…

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Q: Question 13 2 Evaluate the iterated integral. yz dx dz dy

A: Evaluate the iterated integral .

Q: If the following function f(1)= are , for some non zero constant real numbers a and b a? equals 1662…

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Q: Find the volume V of the described solid S. A right circular cone with height 3h and base radius 4r…

A: Solving the problem by finding the volume of the cone.

Q: Find the four​ second-order partial derivatives for​ f(x, ​y)= 7x4y8 + 8x7y5 Fxx= Fyy= Fxy= Fyx=

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Q: Question 6 Use double integration to find the volume of the solid. ... 3 3x + 2y + 4z = 12 A) 6 B) 9…

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Q: Find the area of the region inside the circle r = 18sinθ and outside the cardioid r = 6 + 6 sinθ.

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Q: Use double integration to find the volume of the solid bounded by the paraboloid z = 9x2 + y?, below…

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Q: 1-6 Use an appropriate form of the chain rule to find dz/dt. 1. z = 3x²y*; x = r^, y = r² 2. z =…

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Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

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Q: In every sphere of radius r it is true that its volume V is given by V =ar³ , A snowball is melting…

A: volume of snowball (sphere);V=43πr3differentiating w.r.t. time t;dVdt=-4π3(3r2) drdtdVdt=-4πr2…

Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

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Q: x2 - 16 dx

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Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 17 tan Р(-18, 18); а %3D…

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Q: Consider the equation y" + ay' + by = f(x) the constants a and b are real and different from zero,…

A: The given problem is solved below in detail.

Q: Q1. Answer the following question in short: 1.1 Simplified form of v-25 + 3v-4 + 2v-9 is 1.2 The…

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Q: dx a sin x+b cos x

A: Given problem:-

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. V64-22 xy dy dx dz

A: Given: I=∫08∫064-z2∫0xxydydxdz   The Power rule: ∫xndx=xn+1n+1+C

Q: Find T(t) and N(t) at the given point. r(t) = 3 cos(t)i + 3 sin(t)j + tk; t = T .2. NG) = .2

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Q: The value of the integral I = is required in the development of the normal probability density…

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Q: 2. Determine whether the statement is True or False. If it is false, explain what makes it false, or…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(7,…

A: To find the directional derivative of the function at P in the direction of v.hx, y, z=xyz, P7, 2,…

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = Y, (1, 5, 5) %3D…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point.   f(x, y) =…

Q: Use the derivative of the function shown below to determine the open intervals in which the function…

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Q: The volume of a torus (doughnut or bagel) with an inner radius of a and an outer radius of b is V -…

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Q: 4. Under the usual addition 47Z/2021Z .

A: A detailed solution is given below.

Q: Find a result by using variable separa Vx/y-1 b-y'ý+x-0 dx Find a result by using homogenous for

A: A)x y dydx=1y dy=dxx∫y dy=∫ x-12 dxy3232=x1212+C'2y3=3x+3C'2y3=3x+C

Q: Find the extremum of f(x.y) subject to the given constraint, and state whether it is a maximum or a…

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Q: The International Space Station orbits the Earth at a height of 250 miles. What is the height of the…

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Q: rl+ 4sino

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Q: Find the equation of line: A. Line passing through (5,-11) parallel to x axis. B. Line passing…

A: Equation of a line passing through (x1,y1) is given by, y-y1=m(x-x1) , where m is the slope of this…

Q: cos x csc3 x + C sin4 x 1.

A: To evaluate the given integral.

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: If e is an angle in standard position, Cot(@) > 0 and sec(e) <0, then the terminal side of 0 lies in…

A: Trigonometry

Q: Find the curvature and the radius of curvature at the point t = 0. %3D = e' cos(t), y = e' sin(t), z…

A: Given

Q: .

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Q: h sin 2 xdx X COs 2

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Q: Evaluate the double integral. /| 4x²sin y²dA; Ris the region that is bounded by y = x², y = -x², and…

A: Given problem:-

Q: Problem 6. The area A of a triangle is given by A=ac sin B, where B is the angle between sides a and…

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