4) Determine the value of the 4) -2 6)-1 c) o d) 1 I'm 10,0 хсу e) DNE xy 2x² √x² + y²

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vfl (1,2,2)=(i+₁+O (Type integers or simplified…

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Q: The general solution of y" - y = x²ex + 5

A: To find the general solution of y''-y=x2ex+5.

Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: 1. Determine the value of a such that lim 24-2 Hint: Apply one of the Limit Laws. 3x² + ax + a +3…

A: We have to find limit

Q: 5 √₁ (2x² - 2. 2 (2x² – 3x) dx

A: We can solve the definite integration as below.

Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

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Q: Convert the complex number to rectangular form. 8( cos 1 +i sin 1-π) 6

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Q: Given [ƒ(x) a f(x) dx = -5, and g(x)={3x+2,355 / 3x+2,3≤x≤5 integral. Find the value of k that…

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Q: A company's revenue from selling x units of an item is given as R = 1200x x². If sales are…

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Q: Differentiate the function and simplify the final answer. y = 2xsin x - x^2cosx

A: Given,y=2xsinx-x2cosx

Q: Vx(A x B)=(B-V)A-B(V-A)-(A-V)B+ A(V-B)

A: Solution

Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

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Q: Using a particular trigonometric substitution 2 1 + x dx √3 +1-V 4 26 π - the above 1+ 13₁ 2 √1-x²…

A: To solve the given integral.

Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

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Q: Find the interval of convergence for the given power series. Use interval notation, with exact…

A: We have to find the interval of convergence.

Q: ∞ Find the interval of convergence for n=1 The interval of convergence is a E (x − 4)" n² 3n

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Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the…

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Q: The distance from a point P₁(x1, y₁) to the line ax + by + c = 0 is lax₁ + by₁ + cl √² + b² Use this…

A: SOLUTION-

Q: O -2 -2 Convert the given polar coordinates to rectangular coordinates. (x, y) = (b) Graph the point…

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find inverse laplace 9f given function.

Q: height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= - 16t²…

A: Velocity

Q: 3. 13 dr² +9y= 26e2r

A: The given differential equation,     d2ydx2+9y=26e2x

Q: 4. Given z = x-y x+y Find əz/ax

A: I have appended the formula used in the solution part of the question.

Q: This answer is not correct.

A: We can solve this as follows:

Q: Complete the identity. sin (a+B) = ? cos a cos B cot a + cot B -tan a + cot B tan a + tan B tan B +…

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Q: y = f(x) denote the function defined as x²+x-2, if x < 1; f(x) = 1 X, if 1 ≤ x < 2; √x – 1, if x ≥…

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Q: A farmer wishes to fence off a rectangular field with 1000 ft of fencing. If the long side of field…

A: Here is the solution of the given problem. Application of derivative. Maximum and minimum.  Critical…

Q: Step 1 of 2: Determine the intervals on which the function is concave upward and concave downward.…

A: We need to determine interval of concavity.

Q: Find the unit normal to the surface z=2+2z^2-3y^3 at the point (1,-1,7), pointing down with respect…

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Q: 1. Lim X→2 2x³+2x²+2x+6 x3+4x+3

A: Apply limits to find the solution

Q: Compute. 13 Σκ k k = 0

A: We have to find out  sum

Q: y = (x²+1)4 (2x + 1)² (3x − 1)5

A: We have to find derivative

Q: N A cylindrical tank is filled with gasoline with weight density of 7840 Determine the force exerted…

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Q: Rectangular to Polar Redo Date Convert each pair of rectangular coordinates to polar coordinates…

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Q: 2. Find where the curves intersect, draw a sketch of the region (label it completely), and compute…

A: Region is sketched. And volume is evaluated.

Q: 5) Write the equation of the line through the points P(1,3,7) and Q(2,5,11) in: a) Vector form b)…

A: topic - equation of line through two points

Q: e the following function and its graph to answer (a) through (d) below. 6-X, f(x)= 3x x4. Find lim…

A: The given function,fx=6-x,x&lt;43x4+3,x&gt;4

Q: 8 1 X = Σ" with convergence in (-1, 1), find the power series for 1-x n=0 1 - 8x³ 8 n=0 Identify its…

A: Let's find power series and it's interval of converges.

Q: Find f'(-2) if f(x) = 3 -7x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A:

Q: 8. Find the antiderivative of (12x²)ex³ O 4e+³ 4eX +C O (4x³)e+³ +C O None of these Cannot be found

A: Let's find antiderivative of given function.

Q: 2. Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed,…

A: solution:-left end pointRiemann sumnumber of rectanglen=5∆t=10-05=2t0=0, t1=2,  t2=4,  t3=6,  t4=8,…

Q: Let f'(x)=(x-1)(x-3). Then f is increasing on a) (-∞,1]U[3,0) b) (-0,2] c) [1,3] d) [2,00)

A: Let f'x=x-1x-3

Q: 4. Convert the following rectangular coordinates to polar coordinates, then find 3 additional repre…

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Q: Match the following rational functions with their graphs. Place the appropriate letter in the space…

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Q: The general solution of y" - y = x²ex + 5

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Q: ven A = - -4 1 -3 0 -5 2 and 1 B = -2 4 2 1 4 find 2B - 3A 3

A: Given query is to find the Indicated matrix.

Q: (McQuarrie F-7) Find the three roots of the determinantal equation, 1-A 1 0 1 1-A 1 0 1 1 - A

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Q: You are babysitting when the screaming child throws her pacifier out the window. The baby has some…

A: Please see the below picture for detailed solution.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 2. An In(n+1)…

A: 2.an=lnn+1-ln n

Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

A: Given:-radius of the pile  is increasing at a rate of 4 ft/daydrdt=4 ft/dayheight of the pile is…