The equations for the plane through p0(0,2,-1) normal to n =3i - 2j - k O 3x-3y-3z=0 O 3x-3y=z O 3x-2y-z=-3 O3y-2x-z=-2

Q: Calculus I Find the second derivative.

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Q: | Find the values of a and b such that the following function [a(x − 1)² + b²x+2, if x 3, ious at x…

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Q: Evaluate the following integral. 3 5x(x - 3)dx 0

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Q: 1. S x4+a4 dx x3 2. Jydy √a2-y2 3. I cos2tdt (1+sin2t)4 4. I tanßsec2ßdß 5. [(tan) – 1)2d0

A: We have to find  the value of given intregation.

Q: State the order of the given ordinary differential equation. d²y dx² dy = 1+ dx. Determine whether…

A: We know that :-  The ORDER of a differential equation is the order of the highest  derivatives that…

Q: a) Find the simplified form of the difference quotient for the function f(x) = 2x² - 4x + 5. b)…

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Q: At what points of R² is the following function continuous? 17 f(x, y) = x5 (y² +81)

A: Solve the following

Q: Determine whether the differential equation - (2x² − 2xy + 5) dx + (8y² − x² + 2) dy = 0 is exact.…

A: The given differential equation is;  (2x2-2xy+5)dx+(8y2-x2+2)dy=0.

Q: Find the inverse function of f(x) = Specify the domain for f-¹(x) f-1(2) = = 2-9 Domain of f¹(x)…

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Q: Let G=7f-g, where the graphs of f and g are shown in the figure to the right. Find the following…

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Q: The result of f(+√y) dxdy= 30.66 O 43.66

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Q: Find the solution of the given initial value problem. ㅠ ty' + 2y = sint, y (-) - = 5, t > 0 Y ||

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Q: TU The result of f fysinxdxdy = O 1 O -1 O 1.5 O -1.5

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-2=-2

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Q: Let v(t) = (t², -4t,9). Compute the derivative of the following function. v(e¹)

A: Solve the following

Q: Use the quotient rule to find the derivative of the following. 2 x²-5x+1 y= 2 X +5 y'=0

A: derivative

Q: 12. Calculate the area of the segment cut from the curve y = x (3-x) by the line y = x. A. 5/3 sq.…

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 6 x² + 2xy dx…

A: First change the given differential equation in the form         M dx + N dy = 0  Then check that…

Q: 7) lim (cotx +cscx) XIR

A: lim      cotx + cscx x -->π lim      cosx/sinx + 1/sinx x-->π lim      (1 +cosx)/sinx x-->π…

Q: 1. Let f(x) = sin² (x) cos(x) g(x) = sin² (x) cos² (x) h(x) = sin²(x) cos³ (x) π Based on the graph,…

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Q: Which one of the following is the gradient of the tangent line at the point (6, -3) on the graph of,…

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Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

Q: Evaluate the integral. 1/2 Jo 7 cos-¹(x) dx

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Q: Q3) find the soluation of differention equation 1) 2y' = y cot(x)

A: To find the solution of the differential equation 2y'=y cot(x) Formulae used : ∫dxx=ln |x|∫cot(x)=ln…

Q: Express as a single logarithm and, if possible, simplify. log (x²-2x-35) - log (x²-25) log…

A: Using log(a)- log(b)= log(a/b)

Q: Determine whether the differential equation (7x² - 2xy + 6) dx + (7y² − x² + 7) dy = 0 is exact. If…

A: The differential equation,    7x2-2xy+6dx+7y2-x2+7dy=0

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: Evaluate the limit. lim (x,y) → (-5, -20) y² - 4xy y - 4x

A: Solve the following

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

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Q: if (1+i)(x+iy) = 2+4i then 5x is : O 15 O 10 O 5 O 3

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Q: The exponential function given y H(t) = 80,031.49(1.0483)', where t is the number of years after…

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Q: дz (B)If Z = f(x,y) , x = s² - t² , y = 2st . Prove that s дл 2 (s² + t²) of дх дz ||

A: Use total derivative and chain rule

Q: Find the solution of the given initial value problem. T ty' + 2y = sint, y = 3, t > 0 2 Y ||

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Q: * The following function f(x) = x^4 sinx is odd о neither O O even

A: Replace x with -x

Q: For which values of a and b E R is the following piecewise function continuous on R? (sin(2x) + a x…

A: for piece wise function  continuty condition is  limx→0- f(x) =limx→0f(x) = limx→0+ f(x)   now…

Q: Find the inverse function of f(x) = = Specify the domain for f−¹(x) ƒ-¹(x) = x² - 9 Domain of f¹(x)…

A: Given that,

Q: 5. Evaluate each geometric series or state that it diverges. (a) [2(-6)-k k=0

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Q: ---(1) (y-2)² + (x - 1)² - 9 ---(2) 3. 16 = x² + y²

A: use for quadratic equation   a x2+bx+c=0x=-b±b2-4ac2a and -1  = i

Q: Find the general solution for the following second order D.Es? +y=sinx (Variation of Parameters…

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Q: 04:B/ Simplify Moivre's theorem? [cos 30+ i sin30 15[cos 0-i sine 1³ [cos 50+ i sin50][cos 20-i…

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Q: 27. The factor = T/2 is multiplied in the evaluation of Wallis formula, where m and n rs of sin and…

A: The factor θ=π2 is multiplied in the evaluation of Wallis formula where m and n are power of sin and…

Q: Answer true or false? A function is not a function but is defined on a function space true Ofalse

A: Solution )  a function defined on the function space  Function space is set of function between 2…

Q: Fill in the blank. The symbol C₁ represents a constant. - (6 + C₁e-⁹x)= Write this result as a…

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Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

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Q: Q2\ By using Adjoint method, find the inverse of the following matrix. [1 0 -31 A= 4 2 -1 LO 3 2

A: As per bartleby guidelines, I can answer only one question. So, kindly repost the question.   2. We…

Q: The modulus of 5 + 4i is * -41 -√41 √41 41 The conjugate of (i-i² )³ is -2-2i O 2+2i -2+2i Oi-1

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Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. f(x) = x sin x n = 1 f'(x) n = 2…

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Q: A particle has position function r(t) and velocity function v(t) = { 2e“, sin(−t), ln(t+1) ) (a)…

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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 4y - y³ 4x + 3xy² dx…

A: Explanation of the answer is as follows.

Q: a) Graph the function f(x)=2x-5x + 3. b) Draw a tangent line to the graph at the point whose…

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