Convert the point with polar coordinates 9, 3 The point is: C M 2 3 4 5 6 wend W е t 1 9 C $ % Oll y to Cartesian coordinates. Enter exact values. ) & 7 0 u * 8 0 ( 9 O O

Q: For vectors and shown, drawu - 2 13 19 V

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Q: S= S stozx 1 secy tan: Sinx cas 2. S

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Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

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Q: Evaluate the integral. 4π S t² sin(2t) dt

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Q: 4. Consider the region bounded by x = y² + 4y - 2 and x = 1. The region is revolved about the…

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Q: -10 5. Given the polynomial: 2x³ + 19x² + 32x - 21 A) List all of the possible rational roots: B)…

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Q: 5. Find the half range cosine Fourier Series for the function.. X OCX < Z ..£.(x)..= TT-X <x<T -ans:…

A: Given

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 y=x 2 (6,6) 8

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Q: 1. Given the function f(x) = 20 √7-x find f (-9). "

A: The given function is: fx=207-x    ...1

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: Topic:- calculus

Q: Find the area bounded by y=-x²+1, y = −2x+2, x=-2, and y=2. A 16/3 B 5 None of these D) 4/3 E) 1/3

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Q: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

A: The objective is to find the rule of the inverse of the function.

Q: Calculate √-3 + 3i. Give your answer in a + bi form. In polar form, use the angle 0 ≤0<2m a = b=…

A: Topic:- complex number algebra

Q: Q1: If y=sint and t= sin x, then at x = a) 0 b) c) cosl dx² d) -cosl e) others

A: I have stated the used properties in the solution

Q: Find the general solution of the differential equation: y' - 5y = te-2t Use lower case c for the…

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Q: For the function f(x) = -5x, find the difference quotient f(a+h)-f(a) = h f(a+h)-f(a) h

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Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

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Q: Identify the conic section whose equation in standard form is y 2 + 8y - 10y - 34 = 0. ellipse…

A: Topic = Geometry parabola

Q: 1. 2ydx+x(x² In y-1)dy=0

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Q: 8. The function f(x, y) = x² + 2y + 8y² - 4xy² has stationary points at some of the following…

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Q: Find the exponential function f(x) = Cbx whose graph is given. y (3,500) f(x) = (1, 20) X i

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Q: Given f(x,y) = x²y-3xy³. Evaluate O 14y-27y³ 6 + C O -6y³ +8y/3+C O 6x²-45x + C 4 O 2x²-12x+ C 2 f²f…

A: Please see the answer below.

Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

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Q: Q. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e-t at y(0)=1 and y (0)=2

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Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: The volume of the solid whose base is region in the xy-plane that is bounded by the parabola y = 12…

A: Concept: To find the limit of x put equate the values of y  The volume of the solid in the x-y plane…

Q: 6. show that the complex Fourier series of the function; f.(.t.) = t ..。. st.s.1. is...:. i2nt e j…

A: Fourier series of function is given.

Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…

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Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

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Q: 10) Given the following exponential function f, where c> 1. f(x)=p(c)(x-r) + s In addition, p 0, r>0…

A: Solved below.

Q: Evaluate the integral. √2/2 love 10 x² 1-2 dx

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Q: 1. Evaluate the given integral Q. ry+1 ry+z Q= 0 0 xyz² dx dz dy

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

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Q: In how many different, distinguishable orders can the letters of the word algebra be arranged?

A: We have to find the number of ways in which the letters of the word algebra be arranged in…

Q: 7)Given the following exponential function f, where c > 1. f(x)= a (c))+k In addition, a < 0, b < 0,…

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Q: √9-22 1. Sketch the region of integration first, then transform Finally, evaluate the resulting…

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Q: 14 Find the slope of the function ƒ(x) = -x - 1, by the definition of a limit. Slope =

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: Given f(x,y)=x-exy, evaluate fy(3,0). 06 O 27 O 9 O 13

A: topic- partial differentiation

Q: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A: Basic identities of integration are used

Q: 300. NR4) For a graduation ceremony, there are 8 people sitting on stage in one row. If the master…

A: We want to find number of arrangement possible.

Q: 3. For the below ordinary differential equation with initial conditions, state the order and…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: (9x-4y+4)dx-(2x-y+1)dy=0

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Q: 5. Solve the differential equation. 2xy¹ = x² +2,_y(1)=−3 dy dx Write Answer In Simplest Form And…

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Q: Evaluate the integral. (Use C for the constant of integration.) [5√16. 5√ 16 + ex dx

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Q: If f(x) = lim (1+x)(1+x²) (1 + x² ) (1 + x² ).......((1+x) where [x] < 1, then - 618 1 (B) 3) (C)…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j aT an…

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