4.7 Show that does not exist. lim (x-2)(y-1) (x, y) → (2, 1)(x - 2)² + (y − 1)² -

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Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v=i+j+ 7k w = i + 9j + 5k Find the…

A: Given, u=5i+2j+k,v=i+j+7k,w=i+9j+5k.

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Q: M8 K-0 3 900+3k

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A: To find out the double partial derivatives.

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x)

A: Our Aim is to solve the differential equation given below using variation of parameters.y"+y= csc…

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Q: Evaluate Integrals [(yex - Inyx) dx

A: Follow the procedure given below.

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Q: 72. Function f(x) = cos 2x, π 0<< 2 Real Number a = 1

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 –…

A: Here is the solution:

Q: Solve the given initial-value problem. The DE is homogeneous. xy2 dy => . dx = y³ – x³, y(1) = 4

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: given differential equation 5y''-24y'-5y=6

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A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Activity no. 3. 1. At 2:00p.m., a thermometer reading is 80°F is taken outside where the air…

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Q: For the following problems, draw graphs of f (x), which is continuous, over the interval [-4, 4]…

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Consider the following. u = −7i - 2j - 4k, V = 4j + 4k (a) Find the projection of u onto v.

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Q: Problem 2.11 For what values of x is f continuous? f(x) = { 0 if x is rational x if x is irrational.

A: We have to check the continuity of the function.  For continuity, left hand limit = right hand limit…

Q: Express in exact form: In(x² + 1)dx

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Q: Find the area inside the limacon = 7+ 6 sin 0. OA) 134T - 84 B) 67T + 84 OC) 67 T OD) 134T

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Q: (2) / 1 - 12/9 - x2 dx

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Q: Find the absolute maximum and minimum values of the following function on the given region R.…

A: To find the absolute maximum and minimum.

Q: 10. (a) Construct the Taylor polynomial p3(x) of degree 3 for the function f(x) = 1/(2-x) around x =…

A: Solution is given below:

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Q: Find the vertical asymptotes of the function Then graph the function. Y x² +1 3x - 2x²

A: The given function is y=x2+13x-2x2

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Q: Solve the given differential equation by undetermined coefficients. y" + 7y' + 6y = 18 y(x) = || X…

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Q: 1. Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: Use the graph of the function f(x) to locate the local extrema and identify the intervals where the…

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Q: n zise me gebrac ve do chang Find the extreme values of the function and where they occur. y = x³ -…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: If z=5x^2+y^2 and (x,y) changes from (1,2) to (1.05,2.1), compare the values of delta z and dz.

A: Given that        z=5x2+y2 changes from (1,2) to (1.05,2.1)  We have to derive value of Δz and dz .…

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Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: Write an expression for the polynomial of least possible degree graphed below. Leave your answ…

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Q: Find the Laplace Transform of f(t) = 3e + 4t² - 2

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Q: We have found the following complementary function for the given differential equation. Yc=c₁₂e-x+…

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