2. x'y-x'y 12 at (-1,2)
Q: f(x, y) = ln (2x) In (3y) + x - y - xy - 3, then fyz (2,-) is equal to
A: Given :fx,y=ln2xln3y+x-y-xy-3
Q: Q2 find the derivative of the following: 1) y = 2stn²(5x) ,2) y = Inx'n cosh 5x ,3) xsin¬14y = y…
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Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4
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Q: When the Second Derivative Test Fails Analyze the critical points off (x, y) = 3xy 2 - x 3 .
A: Given Data The function is f(x,y)=3xy²-xᶟ. Differentiate the function f(x,y)=3xy²-xᶟ with respect…
Q: find the differentials of the first and second orders u=xyz
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Q: . (4x³y5 sin 3x + 3x*y5 cos 3x) dx + 5x*y* sin 3x dy = 0 y(0) = 1
A: See the solution.
Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORN 3x-4 1. y = Arctan 2. y = 2 Arccos (1…
A: y=Arctan3x-44
Q: s.fx 5. x3 sin 3x dx
A: We have to find the indefinite integral
Q: 4. |1- sin2y dy 6. y +2)/y- 1) dy (y + 2)/y
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Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx
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Q: Obtain the differential equation of the family of circles of fixed radius r with center on the…
A: We have to obtain the differential equation of the family of circles of fixed radius r with center…
Q: 6. Write down the differential, dy, of y = e3x.
A: to find the differential of y=e3x
Q: 2 xy dy – (r' + 2y³) dx = 0 xsin 2 dy y sin- -x | dx
A: Homogenous differential equation: Let us consider differential equation of the form…
Q: ,2x Calculate the second derivatives of function f(x) = sin(x) + Ide²x at point x = 0.625 using…
A: Three point central differential formula for 2nd derivative f′′(x)= f(x-h)-2f(x)+f(x+h)h2 Five…
Q: 5. sinx+ cosh2y = 0. dy 6. /2xy -= 0. dy y
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Q: Obtain the differential equation for the family of circles with center on the line x = 8.
A: The general equation for a circle can be written as
Q: Obtain the differential equation of the family of circles having their centers on the x-axis.…
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Q: 25. Find x, y, eR from 2coshy - 7sinhx = 3 and coshy - 3 sinh² = 2 %3D
A: The given system of equation: 2cosh(y)-7sinh(x)=3 ...... (1)cosh(y)-3sinh(x)=2…
Q: 2. (1+Inx)dx +(1+Iny)dy = 0 when y( - 2) = - 1.
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Q: 2 1 Estimate -dx using the right endpoint rule with n = 4 3 1+x
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Q: Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)
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Q: Differentiate. y =x° In x- dy II
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Q: - ((x3 + x)sech(In x)) = dx EX)-
A: To find ddx(x3+x)(sech(ln x) We use product rule d(uv)=udv+vdu Let u=x3+x, v=sech(ln…
Q: Compute the differential dy for y=(6x+sinx)^3
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Q: 11. Find the length of the curve x = on the interval (2, 4] (integrate with respect to y) 12y3 un
A: Given that the function x =y55+112y3 Find the arc length of the graph of the given curve on the…
Q: 5. Find where y = In(cosh(2x)) + /sinh-1(2x) + tanh² (7x). dy dx
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Q: Compute the differential dz of the function. 3,,10 x°Y %3| dz
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Q: Obtain the differential equation of the family of circle with center on the x-axis
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Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…
A: Since you have asked multiple questions,we will solve the first question for you . If you want any…
Q: (3+y +2y² sin2x) dx + ex + 2xy -y rin 2x) dy=O
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Q: 3) Suppose 2X z = xe cos 3y, find all the first and all the second derivatives.
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Q: 2- Find of y = dy dx y %3D /cos-1(In (xy))
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Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)
A: I have stated the used formulas in the solution
Q: 4. sinh(z²) dz dy dx
A: We need to solve the triple integration by re arranging the order.
Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8
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Q: 5. The integrating factor of the di equation 2y dx + (x- x^3 y^3) O x*3 y^2 O Does not exist
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Q: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,
A: Given that: 1+2exydx+2exy1-xydy=0 .........................(1)…
Q: B) Find the derivative of the foiiowing: 1) y = 2sin2(5x) ,2) y = x, 3) xsin-14y = y tan-14x 4) y =…
A: As per the company guidelines we have to solv first 3 subparts if suborats are not mentioned So…
Q: 2) Integrate: S(29sinx + 6e + 5 cos x + Vx)dx
A: Given that, The integral ∫29 sinx +6ex +5 cosx+x5 dx By using ∫f(x)+g(x)dx =∫f(x) dx +∫g(x) dx ∫ 29…
Q: 1-f²₁ ¹/²(y² sinx dx dy) 2-√²-dxx2 0 3- f(cscx cotx)² 2 4- f₁² x (x − 3)dx for 5-S²₂ (x³ + √x) dx
A: 1.
Q: 3. (2х - у - 4) dx - (х-3)dy -0 when x %3 1, y 3D 4.
A: We try to identify and group terms and integrate.
Q: Find y(1) for y" = - 4z - 4y, X, = 0, yo = 0, z, = 1, with step length 0.1 using Euler method (2nd…
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Q: 1) (2cos³xsin x – ysin x – 1)dx – cos x dy = 0 ; when y ) = 3v2
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Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6
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Q: 5. Integrate: S (cose-sin8) de sec 20 6. Find f(3y – y³)ž(1 – y?)dy
A: 5. Given integral, ∫ecosθ-sinθ2sec2θ
Q: 10.Anti-derivative of y(2y^2-3)^5
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Q: Explain of the method of proving the derivative (dy/dx) of y= U(x)"(») where U(x)and V(x) are…
A: The function is, y=U(x)V(x)
Q: Approximate Ay using differentials for y = x2 - 4x at x = 6 when Ax dx = 0.03.
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Q: 19. Sobve (1-x*)-+m*y=0 dy=m dx where x=0, y=0,
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- a) y=(x+2)/x^2 - 1) b) y= ((x^2 - 1)(x+2))/ x-3 find the x and y intercept, symmetry, region/scope, asymptotes, critical points, point of inflection, and sketch the curve of the two given13. Find the minimum and maximum value of the function on the giveninterval.y = 2x 2 + 4x + 5 [-2, 2]a. Let y=f(x) be the particular solution to the given differnetial equation with the initial condition f(2)=1. Write an equation for the line tangent to the graph of y=f(x) at x=2. Use your equation to approximate f(2.1). b. Find the particular solution to the given differnetial equation with the initial condition of f(2)=1.
- University Calculus Early Transcendentals section 13.7 problem 28 finding all the local maxima, local minima, and saddle points of the function. F(x,y)=e^x(x^2-y^2). After finding (x^2-2x+y^2)e^x=0 and -2ye^x=0. How are they solved to find(x,y)=(0,0) and (-2,0)An equation of the line tangent to the graph of g at x = 3 isy = 5x + 4. Find g(3) and g′(3).Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest to A and B are 6 km apart. Where should a station be located to minimize the length of the new road from A to S to B? Make sure to draw a diagram. (grade 12 calculus, use derivatives).
- Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest to A and B are 6 km apart. Where should a station be located to minimize the length of the new road from A to S to B? (grade 12 calculus, use derivatives)ANSWER #3 ONLY Transistor gain is an integrated circuit device between emitter and collector (hFE) is related to twovariables, that can be controlled at the deposition process, emitter drive-in time (x1, in minutes), andemitter dose (x2, in ions x 1014). Fourteen samples were observed following deposition. The table shows the data. 1. Determine if emitter drive-in influences gain in a linear relationship. Test H0: β1=0, where β1 is the slope of the regressor variable.2. Determine if emitter dose influences gain in a linear relationship. Which regressor variable is thebest predictor of gain?3. Graph the scatter plot of the two regressor variables in separate graphs and draw the regressionline. Compare both graphs in terms on the results of a. and b.