Which of the following is the equation of a sphere with radius r = (-1,0,-2)? Select one: O None of them. 3 centered at the point ○ (x + 1)² + y² + (z + 2)² = 9 ○ (x − 1)² + y² + (z − 2)² = 9 O x² + (y + 2)² + (z + 2)² 9 ○ x² + (y − 1)² + (z − 2)² = 9 =

Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: We can see that the outer boundary is not included in the region. So set is not closed.  We can see…

Q: Two matrices A and B are multiplied to get AB if O both are rectangular both have same order number…

A: If A and B are two matrix then matrix AB is defined only when  (A) A and B are of same order (B) The…

Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: 5. Iny+ea²²x+y = 10 -

A: Given :According to given , only 5 solvedlny+ex2y2-x+y=10

Q: A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of base 3 in. and…

A: The curved surface area of the frustum is given by:                   Given: r = 3 in. R = 7 in. l…

Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Solution is given below:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A: We have to check whether limit exists or not  And if exists then what is the value of the limit

Q: find the volume of the solid generated when the region R is revolved about the x-axis

A: To find the volume of the solid generated when the region R is revolved about the x‐axis.

Q: [3tan(x)² dx 2

A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…

Q: Find the solution of the initial value problem y" + 16y = 0, y (7) = 8, y¹ (17) ² Sketch the graph…

A: See this solution in below.

Q: * The Simpson's Rule gives the exact result when applied to any polynomial .of degree-➖➖➖➖➖➖➖or less…

A: Simpson's Rule: It is a numerical method for approximating the integral of a function between two…

Q: Find two functions fand g such that h(x) = (fog)(x) and f(x) + g(x) + x. h(x)=(x-3)² ƒ(x) = ¯ and…

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Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

A:

Q: Determine the dot product uv, if |||| = 9 and |||| = the angle between the two ㅠ vectors is = 3…

A:

Q: Find the general solution of the differential equation ㅠ y" + 16y = 11 sec²(4t), 0 < t < NOTE: Use…

A:

Q: Find the indefinite integral of the following function:

A:

Q: 5. The sequence of partial sums of the equation Σ (a)3/2 (b) 3/4 n=1 3n-1 (c) 1/3 (d) -1/3

A:

Q: Find the exact value. 3 S sin cos 2 0 x dx

A: Follow the procedure given below.

Q: s sin xv9+ cos2 xda xdæ

A:

Q: If a = 2j and b Select one: True False 4k, then a b = 8. ●

A:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10 9 8- 7 6 LO 5- 4 3- S…

A: Here we will find the slope,

Q: Using the Simpson's rule, the approximated value for the integral: f, dx, is equal to -3 O O O O O 0…

A:

Q: 65. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x²…

A:

Q: The figure shows a region in the complex plane. Write an algebraic description of the shaded region.…

A: We have that the center is 4+i. So, we have the LHS as |z-4-i|. We see that (7, 0) is on the curve.…

Q: why do you think is important to calculate those 8 basic ratios  shown in picture

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Q: If f(x, y) = x²y + x sin y, then is af dx Select one: 2xy + sin y x² + x cos y ₂2 O O x² + sin y O…

A:

Q: SUBJECT: DIFFERENTIAL EQUATION TOPICS Growth/Decay  Newton's Law of Cooling/Heating Mixture Simple…

A: Given that, A tank has pure water flowing into it at 10 liters/min. The contents of the tank are…

Q: 4. Solve the following DE using a suitable type of transformation. y' = x + y (let v = x + y) O y =…

A:

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

A:

Q: Let R be the region bounded by a = y² and x = y + 2. Find the volume of the solid generated when R…

A: The given curves are: x=y2and x=y+2 Now find the point of intersection between the given curves.…

Q: B: Find the Cartesian coordinates for the point (6,7) in polar coordinate

A:

Q: 7.(a) f(x) tan (In x) + 52 7.(b) f(x) = log2 (tan r) + In (¹)

A:

Q: π/2 1-z [²6² x cos ydzdydx = = [Show your solution.]

A:

Q: B: Draw the function y = √√x-8

A:

Q: A population of a small city had 3000 people in the year 2000 and has grown at a rate proportional…

A: In this question, we will use growth topic of differential equations.

Q: To produce x units of a religious medal costs C(x)=15x + 112. The revenue is R(x)=31x. Both cost and…

A:

Q: Bernoulli Differential Equation: Find the general solution 2 = x³y4 x dy dx y-³ = cx6 + 3²4 2y-3 =…

A: To solve differential equation

Q: Find dy/dx if y=2 – x^2.

A: Given query is to find the derivative of the expression.

Q: 5. Test the ff ODE for exactness and find the general solution of the DE (2x + 3y) dx + (3x + 4y)…

A: To solve Differential equation.

Q: Find the points on the graph of y = (2x²+1)(x-5) 4 where the tangent line Slope is 1. 0=y= (2x²+1)…

A: We an find the point if the given function where the slope of the tangent line is 1.

Q: I. Integration by Parts. Evaluate the following integrals. [cot-¹ a 1. rdr

A:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ау 10- 9- 8 7 6 5 4 4 -1 0 I…

A: Here is the solution.

Q: 77. an = (In 3 In 2) + (ln 4 − ln 3) + (ln 5 − ln 4) + - - + (In (n − 1) - ln (n − 2)) + (lnn − ln(n…

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Q: a-limx-4(2)

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Q: n 1: Given the function f(x) (b) find fl 1) ( = : 3x² − x, then (a) find the derivative function…

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Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fraction…

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Q: Determine t'(x) if t(x) = 7(3*). Select the correct answer below: O t'(x) = 7(3³) O t'(x) = 3' ln x…

A: We know that t(x)=7(3x)

Q: 1. Equation of the plane passing through the points A, B, and C. 2. Equation of the straight line…

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Q: Find a result by using undetermined coefficients for ý - 5ý +6v = xả + e2x + 3 sin2x

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Q: Find the area of the region bounded by a = y³ - 4y2 + 3y and the x = y²-y. 77 square units 12 (b) A=…

A: