dx-(1+2x tan y)dy=0 Answer: 2x cos² y = y +sin y cos y +C

Q: Given f(x) = 3 sinx, determine the value of c on (0, - 2 by the Mean Value Theorem. c Ex: 1.23…

A: Topic - Mean Value theorem We are given, f(x)=3sin x  ,  0,3π2 We know that ,by mean value theorem…

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Q: Find the linear approximation of f(x)=ln⁡x at x=7 and use it to approximate ln⁡(7.05).   L(x)=? x +…

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Q: Evaluate the given limit algebraically, if it exists. lim-0 sin 8x 6x-2x³

A: limx→0sin8x6x-2x3

Q: Find the equation of the tangent line to the curve y = 2 sina at the point (,1). The equation of…

A: m=1.732 b=0.093 For detail...go through the solution...I have solved step by step in detail

Q: Which of the following does not have the same graph as r = 2 Or -2+3 cos 0 Or -2- 3 cos 0 O r = -2+3…

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Q: Moving to another question will save this resport ion 1 Identify which of the following derivative…

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Q: orem of Calculus (a) ²7x²³ + x² − 7x+1dx, - 4 +126x+6 dr (b)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the function f given by 2x f(x)=2x tan x if x ≤ 0, if x > 0, which is continuous at x = 0.…

A: The given function, fx=2x2-xif x≤0tan xif x>0 We have to check the function is continuous at x=0…

Q: Find the critical point(s) of the function f(x, y) = x² + y² − 40xy. Enter your answer as an ordered…

A: To find the critical points of the function fx, y=x4+y4-40xy.

Q: Differentiate the given function using the appropriate rule(s). Your answer does not have to be…

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

Q: Question 1 What is a suitable IF for solving the linear equation ty' + y = cost, t> 0 OA. B. OC 3t…

A: Given, ty'+32y=cos(t), t>0

Q: 5. Suppose a is a positive real number. Determine the area of the triangle enclosed by the line •…

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Q: Use logarithmic differentiation to find the derivative of the given function. 2 sin a y = x² s

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Q: Write the integral as a sum of integrals without absolute values and evaluate: ƒ³ |x³| dx : =

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Q: Consider the function f(x,y) = x² - 2y² - 6 and the point (1, -1). a. Find the unit vectors that…

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Q: (r)3$2-4 1-= 4

A: Given differential equation:- x4y'=-x3y-cscxy

Q: 1.) xy3dx + (y+1)e^-xdy = 0 2.) dx/dy = x-2ycotx

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Q: Determine the type of DE (select all that applies): 2xy dx + (y² + x²) dy=0 Linear Exact Separable…

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Q: Question 4 Question: The number of Americans currently enrolled at college or university is…

A: Explained below

Q: Suppose that lim f(x)=15 and lim g(x)=-8. Find the following limits. x-b a. lim (f(x) + g(x)) b. lim…

A: Here we have to use the concept of limits

Q: y=x^2, y=x^3 between x=0 and x=2

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Q: 2. Find the absolute maximum and absolute minimum value of f(x) = 6x - x² on [1, 7].

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Q: ouncements dules cussions des norlock Find the equation of the tangent line to the given function at…

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Q: Explain why, in any set of 11 positive integers, some two integers must have the same I's digit.

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: We need to find out possible error in volume and surface area.

Q: +∞ Y(-1)" In (1+¹) m

A: alternating series test

Q: Does the graph of the function below have any horizontal tangents in the interval 0≤x≤2r? If so,…

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Q: Question 3 2y dx + x[x²ln(y)-1] dy = 0

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Q: The temperature at a point (x, y, z) is given by T(x, y, z)= 1100e-2²-2²-2² where T' is measured in…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 4y and y³ = x with y…

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Q: Determine the type of DE (select all that applies): (1+y² + xy²) dx + (x²y + y + 2xy) dy=0 O Exact

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Q: Help

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Q: Use a graphing utility to find the limit. 5x − 7 2-81 lim x-g+x².

A: Let's find evaluate the limit by graphing utility.

Q: 4. A closed cardboard box is constructed from different materials. If the material for the base of…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Define R as the region bounded by the functions f(x) = + 1 and g(x) = 2 between x = 2 and x = 3. If…

A: See this solution in below.

Q: Could you find A,B,C,D

A: Given, f(x)=a(x+b)(x+c)(x+b)(x+d)

Q: Using Boole's Rule, evaluate the integral of a. √x cos(2x² + 7)dx b. In(x + 2) dx

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Q: x + 1 x-1 1. Given: f(x) a.) solve: (fog)(0) = and g(x) = x-3 x + 3 b.) Find the domain of f,domain…

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Q: The vector in the opposite direction to ū= (2,4) and of half its length is

A: Given query is to find the Indicated vector.

Q: 2 Given y=x² +5X-8 as X changes from 1 to 1.2 from 1 to 0.8 Find Ay and Ay Ax

A: Answer in step 2.

Q: Find the second-degree Taylor polynomial for f(x) = 5x² − 7x + 6 about x = 0. P₂(x) = What do you…

A: To find the second‐degree Taylor polynomial for fx=5x2-7x+6 about x=0.

Q: A man 5.5 feet tall walks at a rate 3 ft/s directly away from a street light which is 22 feet above…

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Q: 5. Let U(x, y) be the utility function for two goods, X and Y, given by xy² x- Y U au au Find the…

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Q: 8.314T Pressure of a certain gas can be described by P = . If the volume V goes from 20L to 20.2L…

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Q: 2²u u Verify that the following function satisfies Laplace's equation, + ax² ay² u(x,y) = 7y (3x² -…

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Q: Consider the DE x³y' + 8x²yy' + 4xy²y³ = 0. Making the substitution v = y/x in the DE yields 1 + 8v…

A: We need to write that the equation obtained after substitution is true or false.

Q: 6. Consider the surface in R³ defined by x² + y² - 2z² + 6x - 8z = 7. (a) This surface is a quadric…

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Q: Suppose that f(5) = 5,ƒ'(5) = 2, g(5) = 5, and g'(5) = 5. If F(x) = (fog)(x) and G(x) = (gof)(x),…

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