Find the linear approximation to the equation f(x, y) approximate f(6.28, 4.16). f(6.28, 4.16) xy at the point (6, 4, 10), and use it to

Q: Use the summation formulas to rewrite the expression O O 4 8 71 72 6 8 6 S I I I + n 8 4 72 8 S…

A: 12+22+...+n2 = n(n+1)(2n+1)6. 1+2+...+n = n(n+1)2

Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

Q: Suppose the graph below has the formy - Asin(Bx) + C. 2505042 Ов 15 10 Find the value of B. OB = 1…

A: We have to solve given Questions.

Q: 4. Find the average value of g(x) 8 4+x² on the interval -2≤ ≤2

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Q: 3 x³e2x dx

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Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: Find the area of the following region. The region inside the inner loop of the limaçon r=5+10 cos 0…

A: Please see the below picture for detailed solution.

Q: 32. The radius of a circle is increasing at a constant rate of meters per second. What is the rate…

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Q: Find the derivative of the function. y' = y = 3 tan-¹(x - √₁+ 1 x² +

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Q: (-26)³ 6 If so, write it in the form f(x) = kx². Is the function g(x) The function is g(x) = kx² ||…

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Q: Solve the following initial valuc problem using the method of Laplace transforms y" - 4y + 5y = 8c³;…

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Q: Suppose that f'(x) = e for x < 0, and f'(x) = x + 1 for x ≥ 0. Find fƒ(1) - f(-1). Round your answer…

A: we will find the required.

Q: Which of the graphs below could be the graph of a power function with an even power? (a) ☐ (b) ☐ (c)…

A: Even power function With even-powered power functions, as the input increases or decreases without…

Q: Find the area of the shaded region. Ay 121- 99- 77- 55- 33- 11- y=121-x² -33- -55- -77- -99- -121- X…

A: To find the area of the shaded region.

Q: Solve for 8: cos²0 (1 + 2cose) = 0 on the interval 0 sesn. = 06-1플 100-10. ㅠ 3 품 품 3 3 00-27, 0.ㅠ…

A: To solve the trigonometric equation cos2θ1+2cosθ=0 ; 0≤θ≤π.   As the general solution of the…

Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: For the function f(x) = 4 cotx determine its stretching factor and phase shift, and then graph it…

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Q: Consider the function f(x) = x + sin(2x) defined on the interval [0, 2x]. Verify that the mean value…

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Q: Find the Taylor series (general form) of f(x): 1 X centered at x = 1.

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Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.

Q: / 6-5-4-3-2 어 3 2 1 -2 -3 tot 12

A: To find the interval. By the given graph.

Q: locity of 6. Find the average value of f(2x - 1)³dx.

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Q: The volume of a balloon is inflated from 0 to 8 m³ in 5 minutes. What is the average rate of change…

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Q: 1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x²…

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Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: Find f such that f'(x) = 8x² + 7x-7 and f(0) = 2. f(x) =

A: Given query is to find indicated function m

Q: The Cartesian coordinates of a point are given. (a) (6, -6) (i) Find polar coordinates (r, e) of the…

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Q: Differentiate. y' = y = 3 sec(x) - csc(x)

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Q: Find the Binomial series for 1 (1+x)²

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Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

A: Solve the following

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

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Q: 2 sin 0, 3. Find a "cartesian" equation for the circle which is given by the polar equation r = and…

A: The polar equation is  r=2 sin θ

Q: Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

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Q: → R be a function defined by 3x² + x+5 f(x) = not continuous at x = = 0.

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Q: 2. Find an equation for the tangent line to the cycloid z = =e+3, y = 1²e-3e + 2 at the point where…

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Q: Find a Cartesian equation for the curve and identify it. cos(20) = 1 O limaçon Ohyperbola O circle O…

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Q: 10) a 26 foot lodder bons against a building so that its foot moves away from the building at the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

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Q: 10) Does the sequence an = √n² + 3n - n converge or diverge? Explain

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Q: 8) Write the first 5 lines of Pascal's triangle. Use the triangle to find (2x+3)4.

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Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

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Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

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Q: The percentage of movie advertising as a share of newspapers' total advertising revenue from 1995 to…

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Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi+yj + zxk and S is the…

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Q: 3. Solve the following inequality: x³ + 2x²-3x x-4 ≤0

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= ax…

A: According to question, Given Function,gx = axif x&lt;0x2-7xif x≥0

Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

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