if f(x,y) = √x² + y + 4, then find a a21 and ах ду х

Q: Find the indicated derivative. 3 If f(x) = 24³x² + 96 3 VX find f'(8).

A: Here we will find f'(8),

Q: Three numbers are in the ratio 2:5:8. If their sum is 60, what is the smallest of these three…

A: Given three numbers are in the ratio 2:5:8. consider these three numbers are 2x,5x,8x. Also given…

Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw with x = cost+ sint, y = cost -…

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Q: Find the general solution of the following differential equation. y" +9y+ 20y = 0 NOTE: Use c₁ and…

A: See the details solution in below

Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1 Find the plane…

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Q: Let T be multiplication by the matrix A, find the rank and nullity of T. 1 1 3 A = 6 7 -4 58 rank…

A: We have to find the rank and nullity.

Q: approximation with 5 subdivisions. 3 2 1 2 3 4 5 6 7 P∞ot 8

A: solution is given below

Q: c) [ 1: Estimate the area under the graph of f(x) = x² - 1 from x = 1 to x = 3 using four…

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Q: OLA: Solve the following system by (method of inverse) 2x₁ + 3x₂ = 5 x₁2x₂ = -1

A: Given problem:- Solve the following system by (method of inverse) 2x1 + 3x2 = 5 x1 - 2x2 = - 1

Q: Solve DU 112 dx 4x+3 x³ + 2x² + x

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Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: Given f(x)=4x and x=2

Q: Verify if the indicated equation is an explicit or implicit solution of the given DE 1. y=csc(x+c):…

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: Given i) Find the values of x and y when t = 3. the va Find dy E dx RAL LWhen IMA nd when 123 CALC…

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Q: Let C be the curve y 12 11 10 9 8 7 6 5 15 4 + 25 1 3x for 0.6 x ≤ 3.7. Find the arc length of C…

A: Given that curve y=x34+13x  for 0.6≤x≤3.7Solution : y=x34+13x y'=3x24-13x2Simplify…

Q: A manufacturer estimates that the cost of production of x units of a certain item is…

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Q: Find f'(a) at the given number a.  f(x)=(6x+7)1/2 ,  a = 7

A: Use derivative

Q: Evaluate the following integral or state that it diverges. ∞0 J4e-4 -4x dx Select the correct choice…

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Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

Q: The number of people in a town of 65,000 who have heard an important news bulletin within t hours of…

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Q: Solve the system of equations by any method. 2x+8y=18 x 4y=-9 Enter the exact answer as an ordered…

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Q: Consider the following. 2(x-8)² + (y - 6)² + (z − 5)² = 10, (9, 8, 7) (a) Find an equation of the…

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Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: 1) Evaluate the following iterated integral. 2/2 sin(2y) SS dydx y 0x

A: Use change of order of integration.

Q: 1 - [5] and v₂ - [3]. = Let V₁ = [T(v₁)]B = ( be the matrix for T:R² R2 with respect to the basis B…

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Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature [ today] 27…

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Q: (a) (b) Evaluate S 9xsin (2-3x)XAMIMATION dx. *1*: FIDENTIA Evaluate 1 9x² +6x+ AL 123 CALCULU by…

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Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

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Q: z(t) = -2-t Find a plane through the point (5,6,-3) and orthogonal to the line y(t) = 8 - 8t z(t) =…

A: Given: 5,6,-3Orthogonal to the line xt=-2-t, y(t)=8-8t, zt=2+2t

Q: Give a possible formula for the function below. Let A = (-1, 32) and B = (1, 8). Use the general…

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Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False x+3 = = passes through…

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Q: Evaluate the following integral. S²²³ x² +48x-16 x-16x dx *** x²+48x-16 3 x³ - 16x (Type an exact…

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Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3) N 4…

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Q: 5. r² = 1

A: As per the rules of the company we can answer only first question and rest can be reposted.

Q: Question 11 If sin(0) = 7 and is in the 3rd quadrant, find cos(0) cos(0) = Enter your answer as a…

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Q: Find the equation of tangent line for the curve f(x)=e³x at coordinate (0,1).

A: Given: fx=e3x

Q: Question 1 C(0, -3,-1). Consider the points A(2,-1,0), B(3, 0, -2), and (a) Find the equation of the…

A: Given

Q: Evaluate 4 2 4 X 13.402 -13.402 13.042 √x + 3 3 X 4 - 4 + 4 + 1 + x)\dx = None of them -13.420…

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Q: Find the solution of the initial value problem y" + 36y = 0, y() = 3, y' (-) = -6 18. Sketch the…

A: See the details solution in below

Q: Prove the statement using the €, & definition of lim(x² + 2x - 7) = 1. →2

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Q: Let C be the curve y = 12 11 10 9 8 6 5 4 15 2 4 1 + for 0.6 ≤ x ≤ 3.7. 3x 25 Find the arc length of…

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Q: Evaluate the expression under the given conditions. sin(20); sin(0) ==, in Quadrant II 0

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Q: What prevents the transformation (x,y)=(3x, -3y) from being called a dilation? Explain your awnser.

A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

Q: Solve the initial value problem y" + 5y' - 24y = 0, y(0) = a, y'(0) = 80. Find a so that the…

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Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: Use the matrices below to perform the indicated operation if possible. B If the operation is…

A: To find out 2C+B