3.5 The value off Jo-o 2 called 1-segment) trapezoidal rule is most nearly 0.388211 -0.5xdx by using a single-application (also

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A: We can solve it as given below

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Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

A: f(x,y)=5-4x+6y-3x2y∂ ∂x(xn)=nxn-1∂ ∂x(constnat)=0

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A: The family of cones given by the equation:   x^2 + y^2 - a^2*z^2 = 0

Q: differential equation dy/dx= 2^-x at the indicated point

A: Given  y'=2-x x y' 0 1 1 0.5 -1 2 2 4 -2 4 3 0.125 -3 8

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Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1) Find the equation of the normal plane…

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Q: Find all the first order partial derivatives for the following function. f(x,y,z)=x²y+y²z+xz² O A.…

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Q: Solve the differential equation. 2xy + 4x + (x² - 4) dy dx = 0 =

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Q: Consider the following. Find r'(t) and r"(t). r' (t) r"(t) = K= r(t) = (4t², In(t), t In(t)) = Find…

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Q: Find symmetric equations for the line through the points (2,5,5) and (-6,3,1).

A: To find the symmetric equations for the line through the points  2, 5, 5 and -6, 3, 1.

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A: Please see the below picture for detailed solution.

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Q: Question 3 of 10, Step 1 of 1 Suppose that y varies inversely as the 4th power of .t, and that y = 4…

A: Given y varies inversely as 4th power of x  let proportionality constant = k

Q: 2. Find the directional derivative of p(x, y, z) = x²y z + 4 x z² at the point (1, -2, -1) in the…

A: We have to find the directional derivative of the given function.   According to our guidelines we…

Q: y" + 3y + 2y = 4x² 3 e² y (0) = 9, y' (0) = 5

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: 1. Determine an equation of the line tangent to the curve y = 2x² at the point with x-coordinate-2.

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Q: Consider the function f(x) = 8(x − 3)²/3. For this function there are two important intervals: (-∞,…

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Q: Find all local extreme values of the given function and identify each as a local maximum, local…

A: Topic:- Application of derivetive

Q: nf is shown. f'(x) 6 X nter your answer using interval notation.) Enter your answer using interval…

A: We have to find the intervals such that function is increasing and decreasing according to the given…

Q: Find √ √1+x²dx

A: To find out the integration.

Q: Find the values of z, y and that correspond to the critical point of the function f(x, y) = 2z²-1z +…

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Q: The gradient of f(x, y) = zy at (x, y) = (-1,1) is

A: The gradient of function f(x,y) is represented by ∇f(x,y) where:∇f(x,y)=∂f∂x,∂f∂y          Equation…

Q: Q11 Compute (a) [3.14] = dx (b) Compute [54] = d 5-4x- dx 3

A: To compute the following. (a) ddx3.14 (b) ddx5-4x3

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Q: Evaluate the integral. 37 sec 37 sec -2x tan ³x dx

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Q: Question 6 of 10, Step 1 of 1 Answer Suppose that y' is proportional to the cube root of .x, and…

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Q: Find the volume of the solid that lies under the elliptic paraboloid x/4 + y²19 21 and above the…

A: We have given paraboloid x24+y29+z=1 and rectangle [-1, 1]×[-2, 2]

Q: K 400 (p+8) For the demand function q = D(p) = - a) Find the equation for elasticity. E(p) = find…

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Q: Let y = (x² + 5)5. Find the differential dy when x = 3 and dx = 0.5 Find the differential dy when x…

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Q: Find f.  F"(x) = t2 - 4

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Q: Evaluate the limit tan 7x lim 1-0 sin 4x

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Q: Find the linearization L(x,y) of the function f(x,y) = 3x - 6y + 9 at the points (0,0) and (1,1).…

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Q: The area under the curve of the function f, using the Riemann sum, will be exact if we let the n or…

A: Solved below

Q: Find the length of the curve. r(t) = (3t, 3 cos(t), 3 sin(t)), -7 ≤ t ≤ 7

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Q: Answer the following True or False. If f(x) is a positive 1-1 function with inverse f−¹(x) with f(a)…

A: Given:-fx is a positive 1-1 fuunction with inverse f-1x with fa=c,fb=dthen π∫abfx2dx=2π∫cdyb-f-1ydy

Q: (a) (b) (c) d'y dy dx² dx dx² d'y dr.² -6y=0 dy -4+8y=0 dx +3 dy dx +2y=0

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Q: Write a rational function whose graph is shown below. -1 + 2 0 -2- T 1 1 + 2 F L 3 + 1 (4,0) 4 1 -10…

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Q: Find the derivative of the function. s = 8 t

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Q: Assume that x=​x(t) and y​=y(t). Find dx/dt, using the following information. x^2+y^2=0.73: dy/dx=-2…

A: x2+y2=0.73given dydt=-2x=-0.3y=0.8d dx(xn)=nxn-1

Q: Find the volume of the region bounded above by the surface z = 2 - y² and below by the rectangle R:…

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Q: Question 19 ( ) Let f(r) Inz for all z>0. Determine all intervals on which is decreasing.

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Q: Let a = (3, 5, — 3) and b = (1,3,0). Find the projection of b onto a. proja b=

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Q: (P) In(x) dx

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Q: Find the interval(s) on which f(x) = 3-1-2x² - ³ is decreasing. 1¹. (-₁) 2 (-3¹) 4. (-∞, -3), (1,00)…

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Q: Suppose that f(x) = 3x√/2x² + 1

A: Given, f(x)= 3x2x2+1 Using chain rule , we will find derivative of f(x) Therefore, f'(x)= 32x2+1+…

Q: The height (feet) of an object moving vertically is given by s= - 16t+48t + 36, where t is in…

A: Given height function s = -16t2 + 48t + 36

Q: (a) Find the derivative. y = In(4x - dy dx (b) Find the derivative. y = ln ( 4x = dy dx 6) - 3 In(x)…

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Q: x(t) Find a plane containing the point (6,-4,4) and the line y(t) z(t) 3 + 3t -3+ t 6 + 3t

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Q: Find an equation for the plane through the point (6,7,5) and perpendicular to the line X=1-8t,…

A: Given equation of line:- x=1-8t,y=1+7t,z=4t+2