A glass sphere given by the equation (-1)+(y-2)²+(-3)² = 36 is floating above the plane 2x+y-2x = 22.

Q: Find the general solution of the homogeneous differential equation (D³+2D²+D+2)y=0

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Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

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Q: 5. Consider the polynomial graphed to the side. Answer the following questions using that function.…

A: We need to interpret the graph.

Q: Consider the parametric equations below. x=3t-2, y = 2t+4 (a) Sketch the curve by using the…

A: We are required toa. graph the parametric equation x=3t-2,y=2t+4b. find the cartesian equation of…

Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x

Q: Sketch the curve. r = 9 cos(8) O -4 ac -2 O y 2 -8…

A: Given query is to sketch the curve and find the area.

Q: Use trigonometric substitution to evaluate the integral (a) arcsin(r)+C 9x 9 - x² √9-x² (b) 9x + C…

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Q: lifted to the top of a 25 meter tall building by a rope with density 0.1 kg/m. However, the bucket…

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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: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

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

Q: Identify the following equation without completing the square. 6y² - 4x + 2y +21=0 The graph of the…

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Q: Find the average value of f on [0, 8]. YA 1 0 2 4 6 X

A: Given :- Find the average value of f on [0,8].

Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y =…

A: Please see the below picture for detailed solution.

Q: Find the area of the surface generated when y = 2√x from 1 ≤ x ≤ 4 is rotated around the x-axis.

A: We are required to find the area of the surface generated when y=2x is rotated around the x axis…

Q: Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the…

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Q: Consider the ellipse defined as 9x² + 25y² +90x-50y +25=0 • write the standard form equation of the…

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Q: Question 1: A radioactive element has a half-life of 30 years. If you begin with 7000 grams of the…

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Q: 12. Find f x √(1-x²)³ dx

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Q: Find the distance between the points with polar coordinates (6, π/3) and (8, 2π/3).

A: formula for distance is  D=(x2-x1)2+(y2-y1)2in rectangular coordinates  x=rcosθ and y=rsinθgiven…

Q: 5 5. Given that sin x== 13 (a) cos(x-y); 2√5 5 x is in Quadrant I, and cos y =—- y is in the…

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Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

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Q: 14. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30…

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Q: Find the particular solution of the D.E. y "+ 3y + 2y = 4e° = 4e* ON =e* 2 Oy₁ = / = Ae* + B

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Q: The marginal cost of producing x units of a certain product is  75 + 1.4x − 0.006x2 + 0.00004x3…

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Q: 17. f(t) is the graph shown below and g(x) = f f(t)dt. Find g(0), g(1) and g(4). D 2 3

A: Let's find value of g(0),g(1) and g(4).

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: a) which of the following is the graph. of y = X² ex # B) 2 of 44 c)

A: Shown below...

Q: 9. Use the comparison theorem to show that So L'√T- 10. Find √1 + x² dx ≤ Also show that ²√1 + x dx…

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Q: A) O B) i C of 4) Given g@=2, g'(3)=3, * P(x) = [90] 2, then P'(3) equals; A) 4 B) 6 c) 9 D) 12 E)…

A: Given; g(3)=2, g'(3)=3, p(x)=[g(x)]2.

Q: Differentiate the function. f'(x) = f(x) = x7³ − x + 8

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Q: Σ(-1)*+¹ cos k=1 π Write the sum without sigma notation. (Do not simplify. Do not evaluate.)…

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Q: Given the following data, calculate b, of the quadratic New difference polynomial: f(x)=0 f(x₁) =…

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Q: A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is…

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Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions Find the maximum and…

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Q: Topic: Time Rates: Inverse trigonometric functions A balloon leaves the ground 500 feet away from…

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Q: Find the indicated element of the given matrix. 1 13 206 -3 8 106 0 19 b23 = B

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

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Q: Find the polar equation of the hyperbola xy = 4.

A: Given query is to find the polar equation.

Q: 4- Say whether each given sequence is a geometric sequence, or not. Find the common ratio and the…

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Q: Use the chain rule to find the derivative of 3 10√/2r³ + 10x¹0

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula…

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Q: Use the graph of f(x) - 1 below to find a number & such that f(z) - 0.5| < 0.2 whenever 0 << |z2|<…

A: Graph

Q: Quality management charges 7.5% of the monthly rent on properties it manages. If they manage nine…

A: Given Quality management charges (r)=7.5% of the monthly rent on properties it manages total number…

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: Solve the following initial valuc problem using the method of Laplace transforms y" - 4y + 5y = 8c³;…

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Q: 13) y = [X²+2x-1'; dy = ? A) X+ Xt y B) 4y (x+1) (XH) (x²+2x-1) 3/2 D) - () ㅗ 2\x²2x-1

A: Question number 13 solved

Q: Determine the exact value of the following expression. tan 137) 8

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Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

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Q: -X d) xy' + (1 + x)y = e¯* sin(2x)

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Q: Find a power series representation for the function. (Center your power series representation at x =…

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