Use Euler's Formula to express each of the following in a + bi form. (Use symbolic notation and fractions where needed.) -e(3л/4)i eri = = Sie (13)i =

Q: Question 1 a) Prove that 1 + cot 0 1 + tan 0 = cot 0. b) The concentration C of a drug in a…

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Q: mine the value of c for which a given ass function. Determine the value of c such that the function…

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Q: Find, in its simplest form, the quadratic equation with the following pair of solutions: 3/5 ± 3i

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Q: What symmetry is present in the strip shown above? none of the choices O 180-degree rotation O…

A: The solution is given below

Q: )  Suppose that ∞     n = 1an = 1, that ∞     n = 1bn = −1, that a1 = 2,

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Q: Set up a triple integral for the volume of the solid bounded by z = 7-x²-y² and z=0 O O -√7 -√7-x²-0…

A: To set up the triple integral to find the volume of solid bounded  by given curves.

Q: A force of 960 newtons stretches a spring 4 meters. A mass of 60 kilograms is attached to the end of…

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Q: A rectangle is bounded by the x-axis and the semicircle in the positive y-region (see figure). Find…

A: Use maximizing concept

Q: Solve the ODE below: 1 -2t =e Y"" - Y{ - 2Y₁

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: I have stated the used formulas in the solution

Q: If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice…

A: Given that perimeter of a slice is 24 inch.and we find diameter pizza will reward you with the…

Q: Determine the dimensions of Nul A, Col A, and Row A for the given matrix. A= 120 467 010-324 The…

A: Determine the dimensions of Nul A, Col A, and Row A for the given matrix.

Q: Question 4 Find the derivatives of the following: f(x)= (4x+7)(x-3) (x-2)

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Q: Find the exact value of the expression below sin (sin ¹(-)) O a) √3 2 b) √2 c) 0 ○ d) 1 e) undefined

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Q: Q1. continuous at every number in its domain. State the domain. g(x)= 3r - 1 x² + 2x - 15 a) why the…

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Q: 6) Find the equation of the osculating plane of the helix x = sin 3t, y = 2t, at the point (-1,л,0).…

A: Given :x=sin3ty=2tz=cos3tpoint -1, π, 0

Q: Compute the values of dy and Δy for the function y=e2x+6x given x=0 and Δx=dx=0.05. Round your…

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Q: Find the indefinite integral. 1- Step 1 1 1- 6x-x² dx

A: We can solve the given indefinite integral.

Q: y(t) = y" - 3y' = 8e²t - 2e-t, y(0) = 1, y'(0) = -1

A: Given

Q: Find the transform of the given functions by use of the table. f(t)= cos 3t-sin 3t

A: Lcos3t-sin3t=Lcos3t-Lsin3tUse Laplace Transform table:          Lcosat=ss2+a2,…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given u=9, θu=0° v=2, θv=60°

Q: Consider the following initial-value problem. y' - y = 2 cos(8t), y(0) = 0 Find L{f(t)} for f(t) = 2…

A: Leat=1s-a ; Lsin(at)=as2-a2; Lcos(at) =ss2-a2.

Q: uppose Jesse deposits $500 every month for 30 years into an IRA earning ompounded monthly. What…

A: Topic:- algebra

Q: cos Ꮎ 1 + tan 0 sin Ꮎ 1 + cote = cos 0 sin 0 Suppo pat bus to as to

A: Left side is given by :cosθ1+tanθ-sinθ1+cotθ

Q: 4

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Q: Given the equation below, find dy dx 36x8(6+5x²7y) 5236 + 7y y dy dx 36 24x² + 5x³y + y² = 30 Now,…

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Q: Question Evaluate lim √3 -4 sin ¹ ( √ 362²_3√³+1)) 4 Enter an exact answer.

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Q: .Vijay's Milk Farm's cost function is defined as: C(x) = 7800+81x +0.02x² Evaluate the company's: i.…

A: Topic:- Algebra

Q: 2.: Select the correction choose. A) Using two iterations of the Simple Iterative Method, find the…

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

Q: S'z xdx (1+x)*

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

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Q: Use Green's Theorem to evaluate the integral (v-x) dx + (2x−y)dy for the path C. boundary of the…

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Q: lim etti + t → 0 sin(2t); i+e-2tk) 2t

A: We have to find the value of  given limit.

Q: 7

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Q: -2x+1 if x0 f(0) = (0, -1) (d) Graph the function below. (b) f(-1) 2 f(-1) = -2(-1)+1 ¥(-1)=3 (-13)

A: for all negative numbers in the domain of given function we plot the function f(x)=-2x+1 for x=0 we…

Q: Find the unit tangent vector T(t). r(t) = t²i + tj + 20 T(5) = (10, 1) ✓101 eBook k. P(25, 5, 20/3)…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: 0.1 4 So V1+x* dx

A: Given : ∫00.11+x4

Q: An COS NTT n+ 1

A: Answer: The solution is as given below:

Q: Compute for the arcsinx dx . Which of the following is not an antiderivative of the function f(0) =…

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Q: Find the volume of the solid of revolution formed when the region under the curve y = x over the…

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Q: 17-22 Determine whether the series is convergent or divergent by expressing s, as a telescoping sum…

A: The objective of the question is determine the given series is convergent or divergent and find its…

Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: Find the divergence of the vector field. F(x, y, z)= 6x¹0i-10xy ¹0j O divF(x, y, z) = 60x⁹-100xy⁹ O…

A: To find the divergence of the given vector field.

Q: 16. Solve dx (a²+x²)

A: NOTE: As per our guidelines, I have solved one problem. If you want the answers of rest, kindly post…

Q: Examine the function f(x, y) = x³-27xy+y³ +6 for relative extrema and saddle points O relative…

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Q: Find two numbers a and b with a ≤ b such that has its largest value. (10 + 3x - x²) ¹/3 dx

A: Solution of given question is written in below steps.

Q: The barometric pressure y (in inches of mercury) at an altitude of x miles above sea level decreases…

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Q: 17. If the function x² - 4 constants A and B respectively are: A. A=- B: B. A 11 1 4 B is resolved…

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Q: 2 p4 p2 0 -1 (8x-2y+z)dxdydz

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