Write the following numbers in Cartesian form (i.e., in the form a + bi). Use the principal value whenever necessary. (c) (1 + i)i.

Q: the scalar equation of the plane containing both the line of intersection of the planes defined by…

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Q: Sketch the region then reverse the order on integration for Sx=0 Sy=x²-6x f (x, y)dydx

A: ∫x=07∫y=x2-6xxfx,ydydx

Q: Using the same vectors v = (1, 3, 2) and w = (3, 5, 6) and the same point, P = (8, 4,- 2). Find the…

A: We have, vectors v = (1, 3, 2) and w = (3, 5, 6) point,P  = (8, 4,- 2).

Q: week 5 discussion Section 4.1 #36 find the inverse function. those illustrated in Example 2, Check…

A: We have   f(x) = 3/4 x

Q: a = (-2,4), b = (-1,2), what's the projection of a on b?

A: We know that the formula projection of A on B is  (A.B)/|B|

Q: What is an antiderivative of the function x + 2xln(x) ?

A: We have to find the antiderivative of the given function. On the basis of formula of integration of…

Q: Find f. f"(x) = 1 - 6x + 48x², f(0) = 1, f'(0) = 2 1.

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Q: Find a series expansion centered at x = 0 for M8 Σ • Sf² 2²², n=0 t¹³ sin(t)dt.

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Q: c) Compute the fastest total time Nadia takes to the bus stop if Alania walks side walk first then…

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Q: Find the derivative of the function. f(x) = 5x²1n 3x

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Q: 5. f(x)=x² + 8x - 64, what's the minimum point of f(x)?

A: We have, f(x) = (x ^ 3)/3 - 9/2 * x ^ 2 + 8x - 64

Q: If you know that f(x) = f'(x) = f'(x) and that f(-3) = 5 while f(1) = 5e4 then: [₁2.5" f"(x) dx =…

A: ∫-31xf''xdx

Q: 1. Use f(x) = −1+ [g(t)dt and the values below to answer the following questions. 1 g(0) = = g'(0) =…

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Q: Calculate the integral approximation Se for S6 || ← [₁4+² dz. S 0

A: We have, integrate 4 ^ (- x ^ 2) dx from 0 to 1 n = 6

Q: Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t))…

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Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloid x…

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Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: Use a table to find the Taylor polynomial P3 (x) for f(x) = √I-T around c = 2.

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Q: d'y dr² dy - 2x +2y=x²³, dx

A: compare this equation with  so here we have write the auxiliary equation for the homogeneous…

Q: If A(t) denotes the annual rate of world consumption of oil at time t (with t=0 corresponding to…

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Q: Compute the improper integral DNE 1 e e e 1 x ln(x) -dx if it exists. If not, select DNE.

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Q: 10. for fx fx xy f₂ y f(x,y)=3x³y² + 4(3x+2y)³ find

A: The given function is;  f(x,y)=3x3y2+4(3x+2y)5 Find the fx, fxy, fy, fyx.

Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 4x²-3x + 484. Where…

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Q: -4--|--| 9. Find the norm vector of the vectors a =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (x(t) Find a plane containing the point (2,-4,-2) and the line y(t) z(t) = = = 2 - 5t 4 - 3t 5- 4t

A: Equation of the plane general form is  a(x-x_1)+b(y-y_1)+c(z-z_1)=0

Q: = The federal tax rate for heads of household is given in the graph shown to the right. Use the…

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Q: Evaluate the integral. (Use C for the constant of integration.) √ 8 tan³(x) sec(x) dx

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Q: (c) Use the Chain Rule to compute af s^3t^9 + 3s^3 t^12 + 2st Əs In (c) express your answer in terms…

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Q: A toy ball is thrown into the air from the top of some bleachers which are 5 feet above the round.…

A: Given    h(1) which means after 1 sec height of ball will be 13 feet

Q: MATCHING LIST Match each pair of vectors with their dot product. v = 6i + 7j and w = -8i + 9j v=3i -…

A: (a) given v=6i+7j and w=-8i+9j

Q: Part 1 Find the binomial coefficient. 7C5 20C15   Part 2 (Use the binomial theorem to expand…

A: Binomial Theorem: a+bn=C0nan+C1nan-1b+C2nan-2b2+C3nan-3b3+......+Cnnbn. Binomial coefficient:…

Q: The expression √√64x² equals næ” where n, the leading coefficient, is: and r, the exponent of a, is:

A: Given Expression 64x23

Q: What are the polar coordinates of the rectangular coordinates (-√3, 1)? (4, 11) (2, 11) (4, 5) (2,5)

A: NOTE: Refresh your page if you can't see any equations. . the given rectangular coordinate is, .…

Q: Evaluate the improper integral or state that it diverges.

A: We need to evaluate the following integral: ∫-∞-48x3dx This can be computed as follows:

Q: Find a function f(x, y, z) such that V f = (8z, 4y³, 8x). (Use symbolic notation and fractions where…

A: Given that :-       ∇f=8z,4y3,8x  ⇒∇f=8zi^+4y3j^+8xk^  ....(1) Now we know that…

Q: Use a graphing tool to represent the function and approximate the limit. Write an approximation to…

A: Given :- limx→0(e2x-1)x To find :- Use a graphing tool to represent the function and approximate the…

Q: Problem 13 Find the solution of the initial value problem x' = Ar, with A- (₁₂2) and 2(0) = (-¹₁).

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: The given differential equation is;  9y''-16y=sin(x)

Q: In three-space there are four possibilities for the intersection of two lines. True False

A: We have to find whether the given statement is true or false. In three-space there are four…

Q: What is the rectangular form of the polar equation? 0 = 7T --V³ √3 ○ y = √3x ○ y = -√3x O y = Oy: =

A: Solving the problem

Q: For each ingredient, the bakery capacity can never be exceeded during any week. Select the option…

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Q: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters…

Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: The given differential equation is;  y''+2y'+2y=24ex(cosx-sinx)  yp=6excosx y(0)=0, y'(0)=1.

Q: [200] Given E=1 42, determine, L3 3 1 1 the determinant of E. 2 the matrix of the minors. 3 the…

A: E=200142331

Q: Evaluate sin (‡) dxdy- -π/2 cy² 1

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: 5 Set up only $$$ 6xydu where W is the sold asked = By two perabolous 23x² + y² $2=8-x²__y² Sketch…

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Q: Factor the polynomial (x − 3)(x + 6)² – (x − 3)²(x + 6). Your answer can be written as A(x + B)(x +…

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Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: SLO C. Use parametric equations and polar coordinates to graph, differentiate and integrate…

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