Use the formula k(t) : ||r() × r"(t)|| to find K(t). %3D r(t) = t²i + t®j %3D

Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid…

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Q: Find the inverse of the function. f(x)= 9 + sqrt 4x -4

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Express the area of the given surface as an iterated double integral, and then find the surface…

A: We have to find the surface area.

Q: x2 - 16 dx

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Q: 2 2-y Mote: Complete lirst for X, them or Y.

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Q: Consider the equation 4y" + by' + cy = 0 the constants b,c,m,n are real and different from zero, the…

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Q: Use the dotted line as your y-axis and the solid gray line as the x-axis. Find the distance from the…

A: We need to find area.

Q: Find the centroid of the region bounded by the graphs of 512 y = x, x = and y = 16. NOTE: Enter the…

A: Given; y=x , x=512/y^2 , and y=16

Q: fast

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Let's find.

Q: The general solution of y² + x² ªY dx xyis dx

A: This is a homogeneous differential equation which can be solved by putting y=vx

Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

Q: Use Green Theorem to Evaluate y x²dx – x²dy where C is left half of x² + y² = 25

A: Note that left half of the circle x2+y2=25 means the second and third quadrants. Now, in the second…

Q: Find the area of the region outside the cardioid r = 4 – 4 cos 0 and inside the circle r = 8. NOTE:…

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Q: 2 Find the Inverse Laplace transform f(t) if given the Laplace Transform function 1 F(s) = using…

A: Use partial fraction

Q: Find the arc length L of the graph of r(t). 1 .3 r(t) = i+t j+¬V61² k, 2 <153 L =

A: Solve the following

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

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Q: Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points…

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Q: P(x) Let P(x) and Q (x) be polynomials with the degree of Q (x) greater than the degree of P(x) and…

A: Here we have given that P(x) &amp; Q (x) be polynomial such that degree of Q(x) is greater than P(x)…

Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Given the following functions: f(x) = cos(x) g(x) = x7 + 1 d d Find f(g(x)) and g(f(x)). (Use…

A: Given the following functions: fx=cosxgx=x17+1To find ddxfgx and ddxgfx.

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

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Q: Let R be the region shown in the accompanying figure. Fill in the missing limits of integration. y =…

A: Let's find.

Q: Find lim f(x) for the given piecewise function. X6 2x + 1 if x 6 If the limit does not exist, enter…

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Q: dy is dy xy dx dx The general solution of y² + x² "

A: Solution is given below:

Q: Find the limit. lim (ti – 3j + r² k) 1-2 lim (t i – 3j+r k) = i+ j+ i k %3D i

A: The question can be solved using the concept of limits.

Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: find the differential dy. Hence, estimate the value of 1+ (1.023 2H y =

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Q: Find the volume of the solid that results when the shaded region is 3 revolved about the indicated…

A: The region is bounded by y=3x2 and y=3x3 from x=0 to x=1 revolved about x-axis.

Q: Find T(t) and N(t) at the given point. = e' cos t, y = e' sin t, z = e'; t= 0

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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: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x7 1 g(x) = 5x + 1 (Express numbers in…

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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: Find the inverse of the function. f(x) = 9-2x^3 f^-1(x) =

A: THIS QUESTION CAN BE SOLVED USING THE CONCEPT OF INVERSE OF FUNCTION.

Q: y = 6x³ – x-4

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Q: Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a product,…

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Q: Evaluate (2x – y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (8, -5) Need…

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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: Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic…

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Q: Find the area of the region enclosed by the curves y = x² and y = x by integrating with respect to…

A: Let f(x)=y=x2      (1)g(x)=y=x          Compare x=x2x2-x=0x(x-1)=0x=0 or x-1=0x=0 or x=1Put value of…

Q: If f(x) t*dt then 0. f'(x) ||

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Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 9

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Q: 32. If y=x^(3/2) what is the approximate change in y when x changes from 9 to 9.01? a. 0.045 b.…

A: Topic:- Basic maths  Note :- as per our guideline if more than one question uploaded than only first…

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: Sketch the region whose area is represented by the iterated integral. sinx dydx O un in x tan (x/2)…

A: Here is the solution:

Q: 12. Find an equation for the tangent plane to the surface given by 2xy = 2z2 - ryz at the point…

A: Use tangent plane formula

Q: Use the arc length formula to find the length of the curve  y = 3x − 5,   −2 ≤ x ≤ 3.  Check your…

A: Given : y=3x-5 ,   -2≤x≤3   To Find : Arc length

Q: Let s(t) = 4t° – 6t2 – 144t be the equation of motion for a particle. Find a function for the…

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Q: aluate the iterated integral. || 5x²sin(y) dy dz dx =

A: Given: ∫0π∫05x∫0xz5x2sinydydzdx