Simplify the expression. Write your answer with positive exponents. Assume that all variables represent positive real numbers. 7 1 12 • a a ...

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Q: 1. Solve the differential equation (x² + y)d.x + (x+ y²)dy = 0.

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Q: Determine the present value P that must be invested to have the future value A at simple interest…

A: The formula for simple interest is SI=PRT100. The formula for amount is A=P+SI. Given R=14.0%, T=6…

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Q: 14 (1). If f (x, y) = -x³ + y* - 3xy + 9x? + y, then in the process of obtaining its critical points…

A: Given that fx,y=−x3+y4−3xy+9x2+y

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Q: Let f : R2 → R be a function given by x² -y? 2+y² { if (x, y) # (0,0), f(x, y) : if (x, y) = (0,0).…

A: We can solve this by using differentiability formula

Q: 1 2 3 4 6 7 8. 9 10 ATA 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

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Q: 1.maclaurin series of ex

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Q: ASS R use the FOCE that aereriime for integ ers to which x,kE IN 7os 0 し +1 =z5 we

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Q: Let y = 3Ja. Find the change in y, Ay when x = 3 and Ar 0.2 %3D Find the differential dy when x = 3…

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Find the missing digit in the number 1234x34780 if we know this number is a multiple of 9

A: Introduction: If the remainder is zero, a number is said to be divisible by another number.…

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Q: 21. е*, ті

A: This is a problem of complex analysis.

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Q: 3. Determine the general solution of the differential equation y + 2y" + 2y" + 2y' + y = e=t + t.

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Q: Find the radius of convergence. Can you identify the sum as a familiar function in some of the…

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Q: For each of the following: a) Determine the intersection points. b) Draw a sketch of the graph. c)…

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Q: luplace transforms Cosht COS!

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Q: 26 + 4z4 – 2z2 +1 dz (z – 2i)6

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Q: valuate the region S: { S € C 4≤|z|≤8:π/4 ≤ arg(z) ≤ 7π/4} under the mapping f(z)= 3iz^1/2 +1+i

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Q: Number 2 thanks!

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Q: Question 7. a) Find the unique solution of the system of differential equations dg g+h dt dh g - h…

A: For the solution of the problem follow the next steps.

Q: Use induction to prove 12 + 22 + · . . + n² n(n+1)(2n+1) 6.

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Q: ime? W

A: Introduction: A number is prime factorised or integer factorised when it is broken down into a set…

Q: Suppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. Prove that…

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Q: f the numbers is 1; and D: the numbers do not add to 9. Express the given event in symbol Either the…

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Q: Verify Green's Theorem by evaluating both integrals aN v? dx + x? dy = x2 dy dA ay ax for the given…

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Q: Quiz 1 1.maclaurin series cos hx

A: Given function is f(x) = cosh(x)

Q: Find the solution using Gaussian elimination: 7x + 5y − 3z = 16 3x − 5y + 2z = −8 5x + 3y − 7z = 0

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Q: find Fourier coefficients

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Q: press (i-3

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Q: Consider the vector field F(x, y, z) = 3xyz?i+ (r³2² + 8yz)j+ (2x*yz+4y²)k a. Show that F is…

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Q: Consider the equation of the surface S given by -2x" - yPz° + xy = -4, where a is an odd number and…

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Q: Given the surface of revolution with equation 22 y? 3x. 3 3 Find a generating curve of the surface…

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Q: y dx –

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Q: Describe the graph of the equation. r = -3i+(1 - t²)j +t k O It is a parabola in the plane x = -3,…

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Q: 40-45 Special Function Values. Find the values of 40. sin (3 + 4 Ti)

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Q: Let 3 ГО.5 and j = |-4 [0.5] Use the Gram-Schmidt process to determine an orthonormal basis for the…

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Q: 0 27. [37] (a) Solve y"(t)+9y(t) = f(t), y(0) = 0, y'(0) = = -1, where f(t) · 9t Express the answer…

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Q: Let D ⊂R^2 be a disk containing the origin and assume that g : D → R is a function given by g(x,y) =…

A: This is a problem of multi-variable calculus.

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Q: L {lostt sin ţ t}

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A: Let us consider the curve f(x,y,z)=k Then the gradient of the function is ∇f(x,y,z)=fx,fy,fz The…

Q: If f(x, y) = -x - y* + 3xy - 2x - 5y, then in the process of obtaining its critical points the…

A: Introduction: The critical points of the two variables' function f(x,y) is given by solving the two…

Q: In Problems 7-12, solve the matrix games using a geometric linear programming approach. 2 -3] 2] 2…

A: Given that for the (10) problem the matrix is given as 4-6-23 converting above matrix into a…