write the standard form of the equation of the circle with the given characteristics. Center: (-1, 2); solution point: (0, 0)

Q: Evaluate the integral. | cos (x)dx

A: The given integral is: I=∫cos-1x dx

Q: Given a function f (x) whose graph is shown below. 3 2 h -3 2 -11 2 3 -2- Determine lim f (x).

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Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = tan ...

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Q: Compute the directional derivative in the direction of v at the given point. S(x, y) = xy – x, v=i-j...

A: Given problem:- Compute the directional derivative in the direction of v at the given point. f(x,y)=...

Q: 5. Evaluate using partial fractions 4x2 - 2x + 8 + 4x

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Q: Given the differential equation y" - 9y = 7x5 + 4x² e-8t Find the Differential Operator for the Righ...

A: Consider    7x5+4x2e-8x Differential operator of 7x5 is D6Differential operator  of 4x2e-8x  is (D+8...

Q: x²-16 Find k so that f(x)={ x-4 is continuous for all x. k = k ;x=4

A: Given,f(x)=x2-16x-4;      x≠4k          ;       x=4 Here f(4)=4limx→4f(x)=limx→4x2-16x-4limx→4f(x)=l...

Q: What is the equation (mathematical expression) for a hollow sphere with center at the origin and rad...

A: According to question,Given,Center of hollow sphere =Origin 0,0,0,Radius = 10

Q: An ellipsoid S has the parametric equation S (0, Ø) = (cos0 sing, 2sino sinø, 4cos ø) where 0 and øa...

A: Given equation of ellipsoid S(θ,ϕ)=cosθ sinϕ , 2 sinθ sinϕ , 4 cosϕ

Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per un...

A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.

Q: Find f'(t) for the function f(t) = est +sin(t) 2t Do not simplify the expression you get. 2t(3et +co...

A: To find f't of the given function.ft=e3t+sint2t

Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: yi' = 5y,...

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Q: 7. Consider the region above the r-axis and below y = e-² with x > 1, shown below. 4 Consider a wiza...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Topic = Volume

Q: x = 2. What is the value of y when x = -1? а. —3 b. 3 15 С. d. 3

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Q: The slope of curve is given as (2x + b + ) and has a value of 17 2x3 at x = 2. What is the value 16 ...

A: Topic   = Integartion

Q: Given the differential equation y" - 16y = x2 - 3x - 10 Find the Differential Operator for the Right...

A: According to question,Given differential equation,y''-16y = x2 -3x-10

Q: 18( cos54 + isin54°) 3(cos102" + isin102" )

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Q: The given problem needs the first derivative. Find the first derivative. a² x Y= a² + x

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Q: Given the differential equation y" - 2y' - 15y = 3x + cos(5x) (1) Find the combined differential ope...

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Q: Find a (real) general solution. y" + 2y' + 2y = 4e¯* sec³x

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Q: dx 1+x² plution as the answer is given.

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Q: In Exercises 69-74, use the function value to find the indicated trigonometric value in the specifie...

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Q: Find the area enclosed by the x-axis and the curve y = -x² + 9.

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.  

Q: Find all the values of e such that the given series would converge. (z – 11)" n( – 7)" n=1 The serie...

A: series

Q: A central angle ? in a circle of radius 6 m is subtended by an arc of length 7 m. Find the measure o...

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Q: The function f(x) = 6x In(1 + x) is represented as a power series f(x) = E > Cnt". n=0 Find the spec...

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Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 11y and y = x with y...

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Q: Given the differential equation y" - 4y' + 4y = - 3x2 e-5x Find the Differential Operator for the Le...

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Q: derivative

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: x +1

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Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find t...

A: Follow the procedure given below.

Q: Determine if the given functions f(x) are continuous or not at the given value of x. Show your compl...

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Q: *The limit of a function Evaluate the given limits numerically (using table of values) and graphical...

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Q: Compute fx, fy: f (x, y) = arctan(xy)

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Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...

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Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y = 2x – y ...

A: We need to solve the D.E.

Q: 4) metabolic rate (kcal/h; tog scale) Biologists often investigate relationships between properties ...

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Q: Calculate the difference quotient for f (x) = 5- x² at a = 3. (Express numbers in exact form. Use sy...

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Q: Please solve this using non-extract 2(x³+xy²+y)dx+(2x²y³+4xy²+ 2x²y+x⁴y+2x)dy=0 ; y(2) = 0

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Q: Let z(1, y) ry where a = r cos(30) & y = r sin( – 70). az дл ду дл ду az & ae Calculate by first fin...

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Q: The slope of curve is given as (2x + b +) and has a value of 2x3. 17 at x = 2. What is the value 16 ...

A: as per question  We have determine slope of curve   

Q: тӕ 11 if x - 4 If f(x) is a function which is continuous everywhere, then we must have = u

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Q: Evaluate the integral. S* con5 8x dx n/2 O-2 15 15

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Q: f(x,y) = 100x062y0 38. Find the marginal productivity of labor and capital.

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Q: Given the following non-homogeneous system of first-order linear differential equation: v = 5 y, + 3...

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Q: x* + x³ + x² – x + 1 – x + 1 x(x² + 1)²

A: