Find the center and radius of the sphere with equation (x + 2)2 + (y - 3)2 + (z + 6)² = 16 Center: Radius:

Q: Obtain the family solutions. (5v-u) du + (3v-7u) dv = 0

A: We asked to find the family of the curves

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Given figure  with areas Now V=∫010f(x)dxV=∫03f(x)dx+∫35f(x)dx+∫57f(x)dx+∫710f(x)dx

Q: of the function given by the equation derivations details.

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Q: Determine the following: iffere (a) 10 -5x² - 42x+194 (x+3)(x-8)(x-2) 9 -dx VIM

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Q: Find the Taylor Series generated by f(x) = (7 · X) ² at X=6 : f'(x) =__9 (7-X) 10 90 ƒ"(x)= (7-x)"…

A: The given function is fx=17-x9 centered at x=6

Q: Evaluate the integral: (A) Which trig substitution is correct for this integral? 1 0x = -sec (0) 10…

A: The given integral is: ∫dx64-10x232 (B) To find: Which integral do you obtain after substituting for…

Q: At my apartment I have a closet with 250 ft3 worth of space. If each of my spherical .cannonballs…

A: Disclaimer: since you have asked multiple questions , we will solve only first question for you. if…

Q: Find at x = 4 if y = 4x² - 2 and dt da dt Question Help: Video Submit Question dt = - 3.

A: We are asked to find the derivatives.

Q: find the area of the region enclosed by the curve defined by y=x^(2) -2x-15 and the x-axis. Please…

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Q: Find the area of region A in the figure if the equation of the boudary is r = 4 cos (0). r=1 A A = X…

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Q: For the function f(x) = two periods. Amplitude: A Period: P = -2 sin HARE Number Xx 37 4 Enter the…

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Q: If C(x) = n=0 ∞ n=0 2n + 1 2n + 2 2n ²n and S(x) = ∞2n+2 2n + 3 n=0 -x²n+ find the power series of…

A: The given power series, Cx=∑n=0∞2n+12n+2x2n and Sx=∑n=0∞2n+22n+3x2n+1

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: We know that the nth term of a geometric sequence is given by  a·rn-1 where a is the first term and…

Q: Define the following hyperbolic function directly in terms of the exponential function (i) tanh(x)

A: Defining tanhx

Q: 40 For problems 21 function to find t C 123, use the following. following rut o

A: We will find the required.

Q: Find the volume of the region bounded by z = x²,0 ≤ x ≤ 5, and the planes y = 0, y = 2, and z = 0.…

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Q: (a) Find the critical numbers of the function f(x) = x(x - 2)5. X= (smallest value) X= X= (largest…

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Q: why is V e3x3? and pls write the solution in a paper instead of typing digitally to understand the…

A: Let's solve integration.

Q: Find the derivatives of each of these functions. a. y = (x¹+csc(z)) ³ b. y=sin(z) sec(41) c. y = csc…

A: Note - As per our guidelines we have to answer first three sub parts if multiple subparts are posted…

Q: Solve the differential equation dy dx 9xy - 2y² 6x² xy O a. 3y³ O b. 3x³ x²y = 2y² x²y = 2y² O c.…

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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy(x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y) =…

A: The given function is: f(x,y)=5xe5xy

Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x) = 7x² − 14x + 4…

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Q: How do I find tangential and normal components of the acceleration, from question 5b

A: Let's find tangential and normal components of acceleration.

Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

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Q: Prove that the given transformation is a linear transformation - ( ) T: R³ R³; Ty = x+y+z/ + y

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Q: Complete each statement below. The zero vector of Pg The set IS in the set because zero IS a…

A: Concept: A function that can be expressed as a polynomial is referred to as a polynomial function. A…

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7. fxy(x,y)=

A: Concept: Partial derivatives: In differential geometry and vector calculus, the partial derivative…

Q: Find the partial derivatives (f, and fy) of the below function and simplify your answe f(ru) = (ru)2…

A: Topic:- application of derivatives

Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

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Q: Let f(x) = f'(x) = f'(9) = 4log7 (x)

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Q: The weekly marginal cost of producing x pairs of tennis shoes is given by the following function,…

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Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7.

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Q: Let f(x, y) = x6y4. Round the components of your answers to three decimal places. (a) At the point…

A: Please see the below picture for detailed solution.

Q: Evaluate the indefinite integral. 5 fz¹ √8+zºdz + C

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Q: A spherical iron ball 8cm in diameter is coated with a layer of ice of uniform  thickness. If the…

A: Given data:- The diameter of the iron ball is, 8 cm The thickness of the coating is, 2 cm The rate…

Q: Find the domain and range of the function.   ​G(t​)=1/t2-25

A: Given,            Gt=1t2-25To find : Find the domain and range of the function.

Q: A store sells two brands of camping chairs. The store pays $10 for each brand A chair and $20 for…

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Q: Find the gradient of f(r, h) = 2ärh + ár² at (6,3). NOTE: Enter the exact answer.

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Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: for problems 16 and 17, use the following. the following rule of func f(x)= x² + 4x² +2 to find 75…

A: Given: f(x)=x3+4x2+2

Q: Given that the graph of f(x) passes through the point (8, 4) and that the slope of its tangent line…

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Q: Kai (-1) K Kx 2к

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: Consider the function f(t) = 10 sec² (t) - 3t³. Let F(t) be the antiderivative of f(t) with F(0)…

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Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

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Q: Write the following expression as one integral. 5 7 5 I from S₁ •Sf(x) dx - - f(x) dx + - f(x) dx -7…

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Q: Consider lines L₁ and L₂. L₁: x = 1 + t, y = t₁ z = 2 + t, t€ R, L₂: x-3=y-1=z - 3 (a) Verify…

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Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: Evaluate the integral by interpreting it in terms of areas. 4 to −9(1 − x) dx

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