2 sin 0, 3. Find a "cartesian" equation for the circle which is given by the polar equation r = and find the center of the circle.

Q: uestion 1: For the graph of the circle below whose equation is of the form (x-h)²+(y-k)² = r2, enter…

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Q: -1 Find f-¹(x) if f(x) Of-¹(x) Of-¹(x) Of-¹(x) f-¹(x) = = = 2x + 1 3 2+x 3x 2x - 1 3 2 - x 2 2 3x +…

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Q: mpute the following integrals using suitable method. [xy dxdy, where R is theregion bounded by y=1,…

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Q: Let C be the curve defined by the following system of √x+6y²-2²=0 3y = z 14:

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Q: Determine the slant asymptote of the graph of f(x)= x²-8x+14 x-3 Write your answer in the format y =…

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Q: bounded by the following curves: y = x³/2, y = 8, x = 0, y = 0. Find the volume of the solid…

A: Given ,       y = x32 ,  y=8  ,  x= 0 , y=0.  From Shell method-     Since the revolution is around…

Q: You are attempting to evaluate the integral What trig substitution would you use to simplify this…

A: Given the integral is ∫9x2-9x dx

Q: 6- The first term of a geometric sequence is 24 and the third term is 6, find the fourth term and an…

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Q: Find the sum of the first 30 terms of the sequence. 3, 12, 21, 30, ... S30

A: given  3,12,21,30,.....the difference between numbers is 9we know that sum of nth term of a.p. is…

Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

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Q: Use graphs to evaluate 2π S 0 sin x dx and 2π So 0 cos x dx.

A: The given integrals ∫02πsinx dx and ∫02πcosx dx. We have to find the value of the integrals using…

Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: Which of the graphs below could be the graph of a power function with an even power? (a) ☐ (b) ☐ (c)…

A: Even power function With even-powered power functions, as the input increases or decreases without…

Q: Current Attempt in Progress X Your answer is incorrect. Consider each function to be in the form y =…

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Q: The position of an object in meters at t seconds can be described by the position function s (t) =…

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Q: Find the critical point of the function f(x) = sin ¹2-72 in the interval 0 < z <1

A: Given query is to find critical points.

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions For example, suppose we…

A: Minimum value= -pi/2  Maximum value = pi/2  For detail...go through the solution

Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

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Q: y = 12 - x², y = x² - 6

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Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: Given query is to find the slope and the equation of the tangent.

Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: 18 Find the Equation for the Graph of a Logarithmic Function 10 (-20,-5) Previous 101

A: I have solved step by step in detail...go through the solution

Q: Differentiate the function. g'(x) = g(x) 에너 1 VX +x

A: Given:g(x)=1x+x5

Q: Find the Taylor series expansion of f(x) = = = at

A: we have to find taylor series expansion of f(x)  f(x)=1x2= x-2   at  a =1   now ,    f(x)=x-2…

Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

A: NOTE: Refresh your page if you can't see any equations. . take derivagive

Q: Let f(x,y) = 5xy4 + 5x²y. Find 224 ах = a²fa²fa²f 1 2' ахду' ax2' ay²' and 224 дудх

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Q: 3 7. Given that sec x = =, 270 < x < 360° find 2 (a) sin(2x) Answer: - 4√5 9

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Q: Write Sk k: 4+8+12+...+ -0-0 Do not simplify.) Write SK+1. k+1:4+8+12+...+4(k+ 1) = Simplify your…

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Q: Find F'(x) given F(x) = f ³² z S³ z³ dz. <-3x ○ F¹(x)= 54x³ ○ F'(x)=0 ○ F'(x)=81x³ ○ F'(x) = 162x³

A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

Q: 8). If y is a differentiable function of X, then the slope of the curve of; 3 = 6 at point where y=1…

A: Note: Since the student has mentioned to solve question no. (8), so we are solving according to…

Q: Differentiate the function. F(t) = tº + e⁹ F'(t) =

A: Here is the solution:

Q: Consider the following matrix. 3 0 19-3 62 13 44 1 8 8 30 12 0 0 00 (a) Find the dimensions of the…

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Q: Determine the x-value of all critical points for the following function. x² x-3 f(x) = x² x-3 The…

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Q: given the sides of a right triangle ABC,C is the right angle AB= 17 and AC = 8

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Q: 24. Below is the graph of f(x) lim f(x) = x-1 f(-1)=

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Q: Given the non-homogeneous differential equation y "- 4y + 4y=e²x What is its auxiliary equation? 0…

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Q: Is the function T(s) = (6s-4) (es-5) a power function? If so, identify k and p such that T(s) = ks².…

A: The given function is:T(s)=6s-4es-5

Q: 10- You want to invest €1000. What interest rate is required to make this investment grow to €2000…

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Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

Q: Write Sk. 4+12+ (Do not simplify.) Write SK+1. 20+...+()=0 4+12+20++ (Do not simplify.) What do we…

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Q: Two sides of a triangle are 16 and 8. Find the size of the angle 0 (in radians) formed by the sides…

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Q: Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds.…

A: Given a is the area of a disc with radius r which is expanding in time t measured in seconds.   We…

Q: 1 1 1 은 관 + dt

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

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Q: Find the area of the region between the curves y = ³ and y = 20x - x². Area between curves =

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Q: The marginal cost function C'(x) was defined to be the derivative of the cost function. If the…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: Find the Laplace transform of f(t)=sin(2t) + cos (21)

A: we know  Lsin(kt)=ks2+k2Lcos(kt)=ss2+k2given  f(t)=sin(2t)+cos(2t)