form: 2)If z=(2√3-2i)² then the angle 0 in polar 71 117 6 6 خیار 1 117 3 خبار 2 خبار 3 O

Q: 1)lim (tanx) cos X-2

A: To find the limit of the given function

Q: Solve the following algebraic and trigonometric functions by parts. | a) [ x2cosx dx b) √ xlnx dx c)…

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Q: Solve the initial-value problem. xy' = y + 2x² sin(x), y(¹) = 0

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Q: At what point(s) on the curve x = (x, y) = 6t² + 4, y = t³ - 7 does the tangent line have slope?

A: This question is related to parametric curves and slope of tangent, we will solve it using given…

Q: Solve the following: √ ( sin 3x e3x 0 + 2) dx + 2x³ sin 2x) dx 2. 3. f sec x (secx + tanx) dx 7.…

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Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

A: We have to find derivative of given trigonometric term.

Q: Assume x and y are functions of t. Evaluate dt dx 3 y = 2x +93, dt = 2, x = 5, y = 7 (Round to two…

A: Given: y3=2x3+93 ; dxdt=2, x=5, y=7.

Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x² cos y) dy = 0

A: The given differential equation is;  (x+3x3siny) dx+(x4cosy) dy=0. Repost the next questions.

Q: Suppose that f(x, y) = 2x + 3y and the region D is given by {(x, y) | −1≤ x ≤ 5, − 1 ≤ y ≤ 5}. D…

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Q: F Find · LV² [V² hpxp (₂h + x)us ha

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Q: Evaluate the indefinite integral. -3.5 - 15t - 3t-¹)dt (-15-35-3t-1)dt = 1 4 +²√t - 2 In t+c (Type…

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Q: . foci: (±4,0) major axis of length: 1

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Q: Given AABC, what is the measure of b? 58 53° Ob=2.899 Ob= 8.555 Ob= 10.619 Ob 11.690 10

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Q: 35/ SEX √ 2 X-I d x

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Q: Question 2 Mrs. Parkes Company is thinking of changing the sizes of the bottles. At first the…

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Q: Find the exact length of the curve described by the parametric equations. x = 5 + 6t², y = 3 + 4t³,…

A: Find the length of the curve   x= 5+t2 ,y= 3+4t2 , 0<=t<=1 .

Q: Question 2. Let f(x, y) = 5xy² + sin(x + y). Find the following: (a) The gradient of f(x, y). (b)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

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Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: given foci =(-2,-5),(-2,7) vertices=(-2,-4),(-2,6)

Q: > For y, polynomial x = y₁ 1 D²-2 [x²] y, = [-1-D² +...]. [2x+3]

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Q: Minimize c = 8x + y subject to 10x + 20y ≥ 100 0.8x + 0.1y ≥ 2 x ≥ 0, y ≥ 0

A: minimize c=8x+ysbuject to constraint10x+20y≥1000.8x+0.1y≥2x≥0, y≥0

Q: TC d) x² sinx dx e) ₁x² Inx dx f) so xe dx

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Q: The 2000 census in a particular area gives us an age distribution that is approximately given (in…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: Given Equation :- x2+y2-24x-16y+188=0

Q: The figure shows the first three in a sequence of squares. The first square in the sequence has a…

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Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

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Q: Use trapezoidal rule to approximate the integral fex dx.

A: Follow the procedure given below.

Q: 1) An ostrich runs along a mountain path with coordinates given by r(t) = a) What is the change in…

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Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

A: This question is related to Compound Interest, we will solve it using given information.

Q: Prove that (AXB)×C=B(A • C)-C(A • B).

A: The solution is given in the next step.

Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: yes

Q: Solve the following differential equations of d²y +9y=2e³x +18x+18 dx²

A: First i I have find the complementary function and then particular solution then adding these two…

Q: Solve the given differential equation by separation of variables. dy = e5x + 4y dx -4e5x 5 + C X

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Q: 3. The point zo = 1 + i is Zo |z| ≤ 1? A. an interior B. a boundary C. an exterior D. an isolated…

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A: The region bounded by the curves,   y=x3, y=0, x=1, x=3

Q: Differentiate: 2. y = 7x²+2

A: given

Q: Suppose that f(x, y) A D Then the double integral of f(x, y) over D is f(x, y)drdy = and the region…

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A: The region is bounded by the curves,        x=y2+4y, x=0

Q: d.x (1) √₂√(1+√5)²

A:

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

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Q: Find the first derivative of * In (sec y + tan y) - x - sinx = 2 O tany (cos.x + 1) O cos y (cos x +…

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Q: Find the L and W (with W≤L) of the rectangle with perimeter that has a maximum are and then find the…

A: The length of the rectangle =L  Width of the rectangle = W  The perimeter of the rectangle = 88

Q: If m<A = 29°, m&B = 84°, and c= 14, what are the measures of the remaining sides and angle?

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Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A: Given: B'(t)=0.621t2-1.213t+15.55

Q: 03: Evaluate the following integrals dx (1) √√₂√x (1+√x)²³ S=

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Q: 3- If √secx + 5cosx find y

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Q: Suppose that x and y are related by the equation 4x² - 3y² = 5 and use implicit differentiation to…

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Q: (3x²y + 2xy + y³) dx + (x² + y²)dy = 0

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Q: 1)lim (tanx) cos x+2 X-

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Q: Find the particular anti derivative that Satisfies the following conditions dy 4x +3 ; y(1) = 8 dx…

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