L4. A function f is given by sin(yzn) f(x,y,z) = 4x³yz + (3xy²)-1+ (a) If x = 1+, y =-+ z=-1+ %3D What is the maximum estimated error in f ?

Q: Tokal dexivetive of f i) Fxy)=In(xy), kind at xzl yal.

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Q: Find the slope of the tangent line at a for the graph of the f(x) = xtan z y(x) be given implicitly…

A: a) Here we have to find the slope of the function f(x)=xtanx .......................... (1)  Let…

Q: 2. dy sin x - y where f(n) = 0. %3D dx

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Q: 5m/2 sin x Applying Simpson's Rule Approximate T/2 dx using Simpson's х Rule with n = 4…

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Q: hi, i've added the problem as a picture please take a look. thanks in advance!

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Q: , X= sin ztS d= In Find dw 2- Cost

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Q: `s): The area of the surface obtained by rotating the curve y = ln(3x - 2), for 3 ≤ x ≤ e², about…

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Q: Find the curve y(x) that minimizes the I Cy) = S. cos x)+ ]2 Cunc tonal %3D

A: solution:-Given I=∫1+cosx+y121/2using Euler's equation ∂f∂y-ddx∂f∂y'=0sincef=1+cosx+y121/2is…

Q: Q3) Reversing the order of integration f 2 y? sinxy dy dx

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Q: 2. Use Euler's method to find the approximate value of y correct up to 4 dy decimal places for…

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Q: find the antiderivative F(x) of f(x)=x^2+sin(x)+3 with F(0=8

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Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: dy : Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh x

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Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: The integrating factor of the given DE are already given below. What is the value of “n”…

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Q: = cos(xyz) + ln x5 - sinh y² + 3z at P(-1, 3, 0) Given: f(x, y, z) af(x, y, z) Find: дz 0 1 3 0 None…

A: See the details solution in below

Q: Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dy dx…

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Q: · Use fourth-order Runge-Kutta Method to solve the following problem over the interval from x 0 to…

A: The given differential equation is,  dydx=y'=-3y+2e-x with an initial condition y0=2.  For…

Q: The maximum rate of change of the function f(x,y,z) = x In(yz) at (1;2;) is equal to: V17/2 None of…

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Q: Q5: Find dx (1) In(x - y) = xy + y² : (4) y = x sinh 2x-cosh 2x for the following functions: (2) y =…

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Q: Which method approximates (x³ + Inx) dx to 0.9314 (a) trapezoidal rule with 12 intervals (b)…

A: Trapezoidal rule ∫x0x0+nhfxdx=h2y0+yn+2y1+y2+y3+y4+...yn-1 Simpson's one-third rule…

Q: (a) Integrate the following function; i) SG) dx 1+9x² ii) S dx (b) Differentiate y = cosh-1(x² + 1)…

A: 5(a) (i) Given integral is ∫91+9x2dx ∫91+9x2dx=9∫1919+x2dx=∫119+x2dx=∫1132+x2dx Hence,…

Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y²; (4) y = x sinh 2x-cosh 2x (2) y =…

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Q: Find a nonzero value for the constant k that makes the function tan(kx) x < 0 f(x) = Зх + 2k?, x 2 0…

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Q: Use fourth-order Runge-Kutta Method to solve the following problem over the interval from x = 0 to…

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Q: dy For the function dt d°y order derivative = 4 cos t, the third is dt3 -4 sin t -4 cos t 4 sin t -4…

A: Differentiate the given function expression with respect to t twice to find the required value

Q: 10. f (x, y) = 1 sec(xy) in(rv)

A: Solution:-

Q: Find the length L of the arc formed by y = (-4x² + 2 In(x)) from x = 4 to x = 5 8 Set up: L = V1+…

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Q: Q2) A: Compute at the point (1, 0) for the function dx S(x,y) = cot 1(4x + em(sin2xy)) + sinh(3) +…

A: Given that, f(x,y)=cot-14x+elnsin 2xy+sin h(3)+log2x2 Which can be re - written as,…

Q: 12. Find frxyz for f (x, y, z) = sin (3x + yz)

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Q: .A telegraph cable is made of an outer winding around an inner core. If x is defined as the core…

A: Using double derivative test to get max value of x

Q: 1. Use the delta method, 2 BONUS MARKS y = 5x² dy dx = lim h-0 f(x+h)-f(x) h to find dx for the…

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Q: The derivative of y=eov? +cosh/x equals Select one: O y' = 2/x et +sinhx + sinh/x O None O y'=@ov +…

A: This is a composite function. Therefore we have to use rules for derivative of composite functions.

Q: Find the absolute extrema of the function on the closed interval.                         y = 3 cos…

A: The given function is y=3cos x on 0,2. Compute the critical points on the given interval as follows.…

Q: 3) Consider the fonction (a) The tangent plare to the graph of fCx,y) at the point Co,0) is (b) At…

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Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .

Q: The of the function y= e sin(3x)- In(5.x +2x+1) dx at (0,0) is: А. О В. -1 С. 1 D. 3

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Q2 / Find dy/dx for the following functions; 3 1. y = Vtan(sin(x² – 1)) d 2. ((1 + cot x)³) dx x². d…

A: To find dydx differentiate 'y' with respect to 'x'. For the given values of 'y' we have to find dydx…

Q: 2 -πx²y. = The volume of a right circular cone of radius ï and height y is given by V 3 dy when x 4…

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Q: The derivative of y =e' ,In(sin 2x) is a) y = eln(sin 2x) sin 2.x b) y = e a(sin 2x), cos 2.r c) y'…

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Q: Q2- Find for the following functions :- dx 1- y = (Inx)/tnx 2- y = x cos-1 x - v1-x² +sin-1x

A: We have to find dydx for the following functions... 1. y=lnx1lnx2. y=xcos-1x-1-x2+sin-1x

Q: Evaluate the integral. cost dt sin n² t - 5 sin t + 4 Select one:

A: We will substitute sint=x, then we will do partial fraction.

Q: Find the total differential df to the function f(x, y) = x²y – xy? when x decreases from -2 to -2.01…

A: We will find out the required value.

Q: Q: from the function no- kre OSxS 10 f(x) = and 1 Y dx find other wise 1-k 2- p(1 <x< 5) 3- p(-4…

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Q: Q4/ A/ Find the integration for the following functions (chose three) 1- sa (3x³+3x-5x²) dx 2 - S 2x…

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: 1. Differentiate the function f(x) = (4x – 5)*(3x – 1)ª %3D d²y for y = 2x sin 5x dx? 2. Find dy…

A: It is derivative problem.