Q: Fühd dy ldy bY Imelicít differeveti ration. 3
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Q: 4 Inx b) Evaluate x'dydx by first reversing the order of integration.
A: Solution Given ∫04∫0ln xx2dy dxwe need to evaluate by first revesing the oder of integration
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Q: How would I approach this problem algebraically, and analytically? I have attached a photo.
A: To find:
Q: 4 In estimating | cos(3x)dx using Trapezoidal - 1 and Simpson's rule with n = 6, we can estimate the…
A: Error bound of Trapezoidal rule and Simpson rule for integrating f(x)dx in [a,b] is, ET…
Q: 3) Estimate Y(2) using Euler's method with 0.5 long dY intervals. Y - 2X and Y(1) = 0. dx
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Q: coat of paint of thickness 0.07 cm is to be applied uniformly to the faces of a cube of edge 40 cm.
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Q: 5 Find xy dydx. 4
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Q: 3-S- In(x²+x)-Inx-elnx dx In(ex+1))
A: We will be using the integral formula of log function to solve the above given integral. We can…
Q: 3 In estimating | cos(5x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the…
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Q: 18) Use two compositions of composite Simpson's method to estimate the integral Inx dx
A: The Simpson's rule can be used to calculate the integral approximation. The formula used in…
Q: 1. Ye = cost- sec(at) %3D ans: =-2sin t - asec(at) tan(at)
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Q: find derivatines of the first derivatives indol and Zuotients.. y= tanx %3D
A: Given function is y=extan−1x Use formula ddxex=ex and ddxtan−1x=11+x2 Differentiate y=extan−1x with…
Q: 2. One side of a right triangle is known to be 22 cm long and the opposite angle is measured as 60°,…
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Q: Prove: cosh 3x = 4cosh'x- 3 cosh x %3D
A: We will solve the following.
Q: first and second derrivative of: y=Arccos(e^2x)
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Q: 4 1 -dx using the midpoint rule with three subdivisions to four decimal places. In(x) Approximate…
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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?
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Q: Show that Costy+ Co5' (-x ) = TT.
A: To show that the given identity is true,
Q: Approximate the length of the curve using n secant lines for n = 2; n = 4.y=ln x, 1>=x>=3
A: We have been given a curve y=lnx and we are supposed to approximate the length of this curve between…
Q: 1 find the total differential dz. axeta TU
A: Find dz
Q: dervivative of (ln(cosh(x)))3
A: Given data: The given function is: y=(ln(cosh(x)))3. STEP-1 Assume u=coshx and differentiate it…
Q: State TWO (2) dissimilarities between Green’s and Stokes’ theorems.
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Q: What are the new limits of integration if apply the substitution u = 5x + n to the integral sin (5x…
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Q: Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N=…
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Q: Find the total differential. z = 10x8y6 dz =
A: GIVEN: z = 10x8y6
Q: on inteaurron (ii) Determine the general formula for V Pn.
A: Numerical analysis.
Q: Compute the differential dz of the function. 3,,10 x°Y %3| dz
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Q: 2. The radius and height of a right-circular cylinder are measured with errors at most 0.1 inches.…
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Q: 7. The raidus of a circle is equal to 4m and is measured with an error of ±0.5m. Use differentials…
A: Given: The radius of the circle is 4m and with an error ±0.5m To find the relative error ∆AA≈dAA "As…
Q: 4. ox x cost at cost of 3 procuct nule J cost dt + cost at [sint] + x CSLX)ま(x) = Sin x - 0 + x cos…
A: To determine ddx∫0x3 x cos t dt.
Q: What is the amount of the rotating body formed by rotating the region bounded by the y = cos x…
A: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and the x−axis…
Q: 4 + sinh(3x) = 4 cosh(3x).
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Q: 5. Consider the function f(x)=e*, calculate df/dx with finite difference using forward and central…
A: We can solve this using formula of central difference and
Q: 4. You will need to use L'Hopitals Rule in this one Sxe-* dx
A: This is a improper integral problem
Q: 2. One side of a right triangle is known to be 150 cm long and the adjacent angle is measured as…
A: The given problem is to find the maximum possible error in area of triangle when one side and angle…
Q: Use differentials to approximate the value of s2.1. O 100+6ln5 4 O 50+5ln5 2. O 100+5ln5 4. O…
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Q: 6(2tanx - x^4 + 4lnx)^1/4(2sec^2x - 4x^3 +4/x)dx. Hint: let u = 2 tanx - x^4 + 4lnx
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Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…
A: area between curve
Q: fil experini for dy txďn
A:
Q: 1. The edge of a cube was found to be 32 cm with a possible error in measurement of 0.1 cm. Use…
A: Given : Measurement of edge of cube a = 32 cm Possible error in measurement of edge is da = 0.1 cm…
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: 4. Find derivatice y 4=In (x 3-4x²+1)
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Q: 4. Differentiate y with respect to x. y = (In Vcosh3x)(sinh(2x + 1) ex+1)
A: The given function is: y=lncosh (3x)sinh-1(2x+1)
Q: 11 Show that Simpson's rule withn=2 (so there are 2n = 4 subintervals) gives the exact value of (2x…
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Q: What are the new limits of integration if apply the substitution u = 4x + t to the integral / sin…
A: We have to change the limit.
Q: A flexible stretched string is constrained to move with zero slope at one end x=0, while the other…
A: Given: A flexible stretched string is constrained to move with zero slope at one end x=0, while the…
Q: Uje differential to estimate V32.02 correct to 4 decimai places.
A: Given : 5√(32.02)
Q: Compute integral x^2cos(x^3+3) dx
A: Given : ∫x2cosx3 + 3dx
Answer 9-10
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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 givena. 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)=1.13. Find the minimum and maximum value of the function on the giveninterval.y = 2x 2 + 4x + 5 [-2, 2]
- 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)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)An equation of the line tangent to the graph of g at x = 3 isy = 5x + 4. Find g(3) and g′(3).