4) Find the total derivative of the function: a.f(x, y) = ex²+y² 1 c. T(l,g) = 2₁ 2TT. b. z = x siny - y sinx, d. f(x, y, z) = xyz "

Q: Find the Laplace transform of the following: t, 2. g(t)= (t-4)², (9t-e20-4t, t<3 3<t<5 t≥5

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Q: @Fs | F(x) = -P Fc [ful] preef: Hell

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Q: The curve has an equation of x = y^3, find the radius of gyration with respect to the x-axis. * 0.89…

A: Given curve is x=y3. We have to find the radius of gyration with respect to the x-axis. Since, no…

Q: 10- 5 -5 -10 5 10 -10- This is the set of points such that |z| = |z − zº| for some zº € C. . Enter…

A: (.)  The set of points z ∈ ℂsuch that ,            | z | = | z - z0 |  for some  z0∈ ℂ   (.)  If…

Q: H.W (2) Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3–f(t)=sinh(2t);…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Consider the solid formed by the boundaries outside the elliptic paraboloid = z and inside the…

A: As per the question we have to formulate the double integral (in Cartesian coordinates) to find the…

Q: Consider the function: f(x,y) = 5xy - 7x² - y² + 3y, (a) Given that x = 6±0.6 and y=9±0.7, calculate…

A: As per the question we are given the following bivariate function : f(x,y) = 5xy - 7x2 - y2 + 3y And…

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Q: Use the equation editor to write the equation. for the function described. Type of function:…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

Q: The business has a monthly promotion allotment of 56890 US dollars. If x amount of dollars are paid…

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Q: 8 12 Let V₁ 2 and V₂ = 3 then the geometric description of Span {V₁, V₂} is -6 -9 a) Plane b) A set…

A: Span: The span of the set of vectors v1, v2, v3, ……, vn is the set of all possible linear…

Q: a) rsine de + (r3-2r² cose + cos0)dr = 0.

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Q: A b A = 13°, B = ?

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Q: y" — y' — 6y = t²e³t — 4t², y(0) = 0, y' (0) = -1

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Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The y - coordinate of the centroid of the…

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Q: Which of the following is the interval containing the root if xi = 0.0000 and delta x = 0.1000. O…

A: we use the direct substituting the values of interval to determine the solution is exist or not in…

Q: The following are pen-tracing puzzles. For each shape, can you find a way to trace the shape without…

A: We need to determine if we can trace the given curve without repeating the same line twice. We can…

Q: Find the Laplace transform of the following: 1. _f(t) = 5t²u,(t) + 3(t − 4)³u8(t) — 9 sin ( − ²) u4…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 8. (a) Show that the intersection of finitely many open sets is open.

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. Determine the linear convolution of the finite length sequences below using Graphical Method.…

A: Solution : y(n)=∑k=-∞∞x(k)h(n-k) x(n)={3,-1,4}h(n)={2,1,4} plot first x(n) first, then plot h(n),…

Q: f √cotx csc4x dx

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Q: Find the transfer function G(z) of following difference equation and also find the impulse response…

A: As per the question we are given the difference equation of a system as : 10yk+1 + 5yk = 100xk+1…

Q: 5. Evaluate the following integrals: cos(x) dx dy 4y -1²-y² (b) ff 2-y² dy dx (Hint: Use polar…

A: Some of the properties of integration  ∫cosx dx=-sinx+C∫f(g(x))g'(x)dx=∫f(t)dt∫eaxdx=eaxa+C

Q: iven the vectors a = (3,2,-1) and b = (1, -2,3), find the equation of the line joining a nd b. Show…

A: This is a problem of 3D geometry and calculus.

Q: Determine the number of real imaginary and Solutions for the 3 2 f(x) = 2x² + 4x² +9x²³…

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Q: A sequence a,,a,,a,,a, a of real numbers is such that Can the arithmetic mean of {a,,a,,a,) be less…

A: The arithmetic mean of the sequence a1,a2,a3,⋯an is defined by the formula, A.M.=a1+a2+a3+⋯+ann…

Q: b) Find the inverse Laplace transform of the following function: 3s +6 F(s) = s² +9s + 5.

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Q: Solve the following equation for x, assuming that the value of the parameter a is such that a…

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Q: So Find the Maclaurin series to compute lim x 0 1 1+t -dt - x + x3 x² 2

A: A sequence is a set of numbers that has a particular order or obeys a general form. The Taylor…

Q: Suppose that the price-demand and the price-supply equations are given respectively by the…

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Q: 1. Prove the following using a truth table. {℗ is a symbol for XOR.) p@q = (pvq) ^ (p ^ q)

A: We will make the Truth table to show the given two statements are equivalent.

Q: 1. Given the data: 29.65 28.55 28.65 30.15 29.35 29.75 29.25 30.65 28.15 29.85 29.05 30.25 30.85…

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Q: The integral can be rewritten as (a). 6 6u³ du u+1 6u4 (c). √ ₁²+1² -du dx ³√x + √x √ (b). Sū 6u² u²…

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Q: Answer the following and show solutions Given the following systems, 4x1 + 2x2 - x3 = 10 x1 + 3x2 -…

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Q: create 2 sample word problems of partial fraction decomposition with solutions

A: We have to create two sample word problems of partial fraction.

Q: Choose the INCORRECT statements about Cauchy-Euler Equation (CEE). I. CEE can solve second order…

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Q: QUESTION 3 Let f= (17624) and g=(156327) be permutations in S7, written in cycle notation. What is…

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Q: Find the Laplace transform of the following: 3. y"-y-6y= t²e³t-4t2, y(0) = 0, y'(0) = = -1

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Q: owing ODE is exact and solve for x(t). dx - - xtan(x) + sec(t) =0 x( dt Where a = (1+Q) with Q being…

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Q: 1) Find the Laplace transform of the following function: f(t) = e-12t (3 cosh (3t) — 3 sin(12t)) —…

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Q: 3. Let V be a vector space over C and let L: V→ V be a linear transformation. (a) Give the eigenval…

A: Introduction: An eigenvector or function vector of a linear transformation is a nonzero vector that…

Q: 24. In order for a linear programming problem to have a unique solution, the solution must exist OA)…

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Q: 2. Solve the yk+2+9yk = 4k + cos 3k using method of undetermined coef- ficients.

A: Introduction: All the phrases withinside the connection or equation have the equal traits while we…

Q: x-y -dA over a square region Using the transformations u=x-y and v=x+y to evaluate R Rx+y with…

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Q: Let (G, 0) be a group and x € G. Suppose H is a subgroup of G that contains x. Which of the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find Laplace Transform F(s) for the variable x or y in the equations a- y"+2y'-3y=32e³; y'(0) = 12,…

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Q: The number of degenerate basic solutions of the system, x₂+2x₂ + x3 = 4, 2x₁ + x₂ +5x3 = 5 is ?. a)…

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Q: y" - y² - 6y = t²e³t — 4t², y(0) = 0, y'(0) = −1

A: Given the differential equation y''-y'-6y=t2e3t-4t2 with the initial conditions y(0) = 0, y'(0) = -1…

Q: Let G be the interval (-1, ∞). Let a be the operation on G such that, for all x, y = G, xay=2xy +…

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Q: Let F be a field and f(x) E F[x] be of degree

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