73-86. Derivatives of integrals Simplify the following expressions. 74. d dx ff et² dt

Q: Consider the function f (x, y, z) = x+y+z¹ subject to the constraint x² + y² + z² = 1.

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Q: . Graph the following systems of linear inequalities. . 4x + 5y-20 ≤ 0 . x ≥ 0; y ≥ 0; x + y ≥ 1 -…

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Q: Consider f(x) = x2 -8x + 12   and g(x) = -x2 + 8x - 12.  a) Without graphing, can you explain how…

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Q: Question 3 For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue.…

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Q: y)=x²−xy+y2—3x+3y with D= {(x,y)|0 ≤ y ≤ e critical point of f(x,y) restricted to the boundary of D,…

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Q: dz du Find when u = 0, v = 3, if z = sin (xy) + x sin (y), x=u² +3v², and y=2uv. əz ди u=0, v=3…

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Q: Determine £¹{F}. SF(s) - 2F(s) = 4s + 5 s² +45 +4 Click here to view the table of Laplace…

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Q: Consider the initial value problem for function y given by, y" - 2 y 3y = 4t³ 8(t - 3), (a) Find the…

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Q: Linear Algebra

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Q: Q) The Sum of three numbers is 6 If we multiply the third numbers by 2 and add the first number to…

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Q: Solve the equation y'' + xy' + 2y = 0 near x = 0 using the power series method. Each of your series…

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Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t)=4e³jt f(t) may be…

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Q: Hello sir , I want the solution in detail , with an explanation of each step , please .. Thanks for…

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Q: A. Show that any sequence of positive real numbers either has a subsequence that converges, or else…

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Q: If |E| <∞ and fn →f a.e. in E, then fn → f in measure. Show that this is false if LEL -m

A: Given a complete measure μ, if f0,f1,f2,…f0,f1,f2,… are measurable, and fn→f almost everywhere, then…

Q: let A = ГО 1 1 1 1 0 write optimal bases of orthonormal for the four bases

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Q: 5. Verify Gauss's theorem for D = {(x, y, z): 0 ≤ z ≤ 9-2²-y²} and F ri+yj + zk.

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Q: 2. Draw the complete shear and bending moment diagrams. A -1 m- 800 N 1200 N·m -1 m. -1 m- 600 N -1…

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Q: pls answer all the given items thanks you

A: Note: "As you asked all the answers but first 3 subparts already solved so remaining subparts I…

Q: Consider the functions f: R² → R² given by f(x, y) = (3y - 5x, x³) and g: R² → R² given by g(v, w) =…

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Q: Find the equation y = Bo + B₁x of the least-squares line that best fits the given data points.…

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Q: Evaluate the surface integral. JS* xz dS, S is the boundary of the region enclosed by the cylinder…

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Q: solve the system x + x = t when x(0) = (0)

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Q: (a) +90 n=1 1 M 3 ht|3 ne 1 " 2

A: Given series is  ∑n=1∞13nn+3n+1n2

Q: The Taylor series for f(x) = x³ at -3 is Σ en(x + 3)". n=0 Find the first few coefficients. Co C1 C2…

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Q: Find the sum of the series: Σ n=0 - 1)"25¹–2 (2n + 1)!

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Q: Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at…

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Q: 1.) Graph y = 2sin(x) on the interval -2π SX ≤ 2T. Be sure to clearly identify any maximum points,…

A: We know the graph of y=sinx on -2π, 2π as below

Q: D. Determine whether each of the following series are absolutely convergent, conditionally…

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Q: 11:2 +¸µ¹¹:¹² + z ¹¹12 Prove that x12 denote differentiation w.r.t.s. = 1 p² 0² + 1+p²². 04 11 1 R²…

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Q: 54. Properties of integrals Suppose f(x) > 0 on [0, 2], f(x) ≤ 0 on [2, 5], ₁² f(x) dx c = 6, and ſ₂…

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Q: Use the remainder term to estimate the absolute error in approximating the following quantity with…

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Q: Ex: The average daytime temperature of a city is given by function D(t) = 5cos(301) 20⁰ where t is…

A: Given, The average daytime temperature of a city is given by the function D(t) = 5cos(30t)°+20°…

Q: Let A = {p ∈ Z|p = 2r - 6} where r ∈ Z, and let B = {s ∈ Z|s = 4t - 4} where t ∈ Z. Show |A| = |B|.

A: To show that two sets have same cardinality we have to find an explicit bijection between the two…

Q: Let T: P₁ → R² be defined by T (P) Let q(t) = 5t6t² +7t³. Find T(q). Find a basis for the kernel of…

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Q: Give the general solution of (3D^5-13D^4+34D^3-46D^2+27D-5)y=0 hello pls help

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: 1) Find the third vertex of an equilateral triangle whose other two vertars are AC1,2,1), BC2,-1,0).…

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Q: Determine all the primes p such that p^2 77 has exactly 5 positive divisors.

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Q: Determine the x and y-coordinates of the centroid of the area bounded by y = 3 cos , and the x-axis,…

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Q: Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no…

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Q: Question 1 A building contractor has accepted orders for 5 type A houses, 7 type B houses and 12…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…