Find af/ax and ai/ay. 3y f(x,y) = 2x में dx ** | में by 11

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Q: (a) lim FIX 7²+x-100 22 – 5 (b) ²-3x+7 x+102-4 lim (c) lim 81IH 7² +11 4-2

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A: Given that the rule of function f is "add one" and rule of function g is "multiply by 8".

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Q: In Exercises 23-28, sketch the enclosed region and use the Shell Method to calculate the volume of…

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Q: Calculate the acute angle that is formed by the intersection of each pair of planes. a. 2x + 3yz + 9…

A: Given:We are required to:

Q: (b) f(x) = 1²³-1² for x = 1 for x = 1

A: it is given that  value of function at x=1 is 1 ,  and at x =1 ,  is not defined

Q: Let f(x)=√√9x-5, g(x)=x²-49, and h(x): (fh)(x) 1 X-7 Fi

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Q: Write out the form of the partial fraction decomposition of the function (see example). Do not…

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Q: If an object moves along a path with a velocity v(t) = t³-². If the initial position of the object…

A: Given problem:-An object moves along a horizontal path with a velocity .If the object has an…

Q: The graph shown below is f(x) = 2x 2-1. If g(x) = f(t)dt, find g '(3). + 543-2-1 1 2 3 4 5 -2 + 3+…

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Q: Determine the angle between each of the following pairs of planes. (a) 3x + 2y - 7z = 4 and (2,…

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A: We have,  P = 17700  r = 6% = 6/100 = 0.006  t = 5

Q: Find lim 14x4 x f(x) 0.900 0.990 | 0.999 1.001 | 1.010 1.100

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Q: Determine whether the series n=0 4 √19 A. The series diverges because lim n-∞ B. Select the correct…

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Q: Evaluate the sum 1 Σ² n! n=0 1 + (-1)^²+¹ + (-2)' (−1)n+1 n 2n+1

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Q: Write the pair of parametric equations in rectangular form. State any restrictions on t² the domain.…

A: To write the pair of parametric equations in rectangular form. To state any restrictions on the…

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Q: 1/x- y²-x² (x+y) 2 2/ dy = [cos(2x + 2y + 6)]dx 3/ (x + 2y + 1)dx - (x² + 4xy + 4y²) = 0

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Q: Question 2 11π What is the supplement of an angle with a measure of 12 radians? If it does not have…

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Q: Integrate the function f over the given region. 1 f(x,y)= over the square 8≤x≤9, 8≤y≤9 xy

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Q: Use integration to find f(4) if d = 2x² and f(1) = 6.

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Q: 6. For what value(s) of k, does the function f(x) = Ae¹x, where A is some constant, satisfy the…

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Q: Suppose f(x) is continuous on [3,6] and-2 <f'(x) < 4 for all x in (3,6). L

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Q: The curves Fi(t) = (t, t², 3t4) and F₂(t) = (sin(-3t), sin(2t), t - *) intersect at the origin. 77…

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Q: What is the vector shown in component form? 4 T ❤ 40 + 3 N -1 -2 -3 2 3 4 Enter your answer by…

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Q: 10. A light is mounted on top of a 16 ft tall pole. A man 5 ft and 6 in tall is walking away from…

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Q: Find the lengths of the two missing sides. X 30% y 24 21 Enter the value of a here. (You'll enter…

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Q: In Exercises 41-54, find the volume of the solid obtained by rotating the region enclosed by the…

A: Graph

Q: Evaluate the surface integral. 11, 1²₁ yz ds S is the surface with parametric equations x = u², y =…

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Q: Suppose f(x) = −5x² +7.

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Q: n class I gave a general formula for derivative of an exponential function f(x) = a ^ u(x) ; where…

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A: Statement are:The line L interacts with the plain at exactly one point, P.The two lines are not…

Q: True or False (Mean Value Theorem): For the function f(x) = 7+√ on the interval [0,9]. If f' (c) =…

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Q: ső Can the Fundamental Theorem of Calculus be used to find √x-1?

A: To examine if the fundamental theorem of calculus applied to find the given integral or not.

Q: ow Evaluate at (u,v) = (5,1) for the function w(x,y) = xy-y²; x=u-v, y = uv. du OA. -1 OB. 4 OC. 9 O…

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Q: Consider the following limit. lim Ax+0+ 8 x + Ax Ax 8 X Simplify the rational expression as much as…

A: This question is related to right hand side limit

Q: A region bounded by f(x) = x + 3, y = 1, x = -1, and x = 2 is shown. What is the volume of the solid…

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Q: Convert the following point from cylindrical to rectangular coordinates: (9,11pi/6,5)

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Q: What do all members of the family of linear functions f(x) = cx have in common? All members of the…

A: The slope intercept form of a line is given by y=mx+c where m  is the slope of the line and c is the…

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A: The population density (in people per square mile) of the city shown in the following figure can be…

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A: To find the derivative of each of the following function shown.(a) (b)

Q: h³ - 27 lim h-3 h-3

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Q: 0. 23. L₂ (x² + x) dx

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Q: Let f(x, y) = xex²-y and P = (2,4). (a) Calculate ||Vfp||. (b) Find the rate of change of f in the…

A: We need to find rate of change.