2. Which graph is NOT a function? a) b) 20.00 0.00 0.00 c) n 20.00 x X d) 10

Q: For the function f(x,y) = 7x² + 6y², find f(x + h,y)-f(x,y) = h f(x+h,y)-f(x,y) h

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Q: 3: The derivative of the function sin(cos x) is a) cos(cos x) b) cos(-sin x) c) sin x cos(cos x) d)…

A: Here we have to use the concept of derivatives

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A: Given figure  with areas Now V=∫010f(x)dxV=∫03f(x)dx+∫35f(x)dx+∫57f(x)dx+∫710f(x)dx

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Q: 1.2: The solution of (Se*-3)³ = 32 is a) In 3 b) 2 c) 1 do e) None of the above

A: Explanation of the answer is as follows

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Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7. fxy(x,y)=

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A: The given function is: f(x,y)=5xe5xy

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Q: Exercises: Use the theorems on limits to evaluate each of the following, if it exists. 1. lim (2x³…

A: See this solution in below.

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Q: x² yey lim(x,y)→(0,0) x4 + x + y²

A: To evaluate the following limit.limx, y→0, 0 x2yeyx4+x+y4

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A: Geven : f ( x ) = ( ln x ) 5 To find : Derivative f ' ( x ) = ?

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Q: For each of the following, use the table of integrals found in the textbook to find the an…

A: Answer is in next step. please give a like !!

Q: Compute the given integral. fcos¹ a a sin ædx = +C

A: Our Aim is to evaluate the integral given below:-∫cos7 (x) sin (x) dx -(i)

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Q: Calculate the definite integral by referring to the figure with the indicated areas. d d a f(x) dx…

A: Solution

Q: Find the cross product u x 7 where u = 2i -3j +k and = (7, - 3, 4). ü xü= Check Answer

A: We have u→=2i-3j+kor u→=2, -3, 1Alsov→=7, -3, 4

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Q: Find the area enclosed by the lemniscate with equation ² Choose your limits of integration…

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Q: 2. Let f(x, y) = |x − 1| · yś. (a) Compute, if they exist, the partial derivatives få and fy at the…

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Q: Show that (u₁. U₂. u) is an orthogonal basis for R³. Then express x as a linear combination of the…

A: Answer is in next step. please give a like !!

Q: 2x lim(x,y)→(0,0) x² + x + y²

A:

Q: A spherical iron ball 8cm in diameter is coated with a layer of ice of uniform  thickness. If the…

A: Given data:- The diameter of the iron ball is, 8 cm The thickness of the coating is, 2 cm The rate…

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A: Let's find moment of inertia of E about z axis.

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Q: 10. Evaluate f(x) = 10-4x for f(3). a) 23 b) 2 c) 22 d) -2

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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: Topic = Sequence

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Q: Solve the differential equation dy dx y+√√x² + y² X ; when x x = a. y² = 2x-1 b. x² = 2y-1 2 c.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the linearization of the function f (x) = x³ at x = 1. L(x) = Using this linearlization, ƒ…

A: Answer is in next step.

Q: (a) Consider the power series Show that B(x) converges for all x. B(x) = Σ n=0 (-1)η 2η 22n (n!) ²

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Q: Q-5: a) Find the area of the region enclosed by the two graphs y = e²x and y = 1 -x, on [0,1]. Find…

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Q: Let 7 (t) = Find 7' (t) 7' (t) = Check Answer >

A: Solution ) r(t) = &lt; -3t5 + 5 , 4e-4t , 3sin ( -3t ) &gt;  r'(t) = &lt; d/dt (-3t5 + 5) ,…

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A: Solution is given below:

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A:

Q: 2. Use the process of implicit differentiation to find given that sin(4x) + sin(2y) =

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Q: Find two positive numbers with product 625 and whose sum is a minimum. Enter your answers in…

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Q: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

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Q: Let f(x) = x^2 - 4x + 1. What is the equation of the tangent line to f(x) at x = 2? Use the limit…

A: Please see the below picture for detailed solution.

Q: Use cylindrical coordinates to integrate f(x, y, z) = z over the intersection (i.e. all the volume…

A:

Q: 2 (2y² + 5xy 4 Ο α. χ' (y² + 2xy = y + 2) = C O b. x4 (y² O 2y + 4) dx + x (2x + 2y − 1) dy = 0 - -…

A: The given differential equation is; 2(2y2+5xy-2y+4)dx+x(2x+2y-1)dy=0.

Q: Find the volume of the region bounded by z = x²,0 ≤ x ≤ 5, and the planes y = 0, y = 2, and z = 0.…

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Q: Evaluate f(x, y, z) dV for the specified function f and B: JB f(x, y, z) dV = f(x, y, z) = Z x 2 ≤ x…

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