What is the equation (mathematical expression) for a hollow sphere with center at the origin and radius 107 OAF10 OB.0srs10 Cr10,-0= 1/2 and =2TT OD.r-10 and 8- 1/2 OEOsrs10and 0sos 2n OF r-10,0- T1/2 and 050ST

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: Compute f' (x) using the limit definition. f (x) = 1 – 15x-1 (Use symbolic notation and fractions wh...

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Q: xy* Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (a4+6y8)

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Q: 7= - + Cle2x general solution to the DE y"=2y+x Find C1 with the given condition y (1) =1/4

A: Given DE is y''=2y+xand the general solution is yx=-x3-14+C1e2xand given condition is y1=14find C1

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximat...

A: Revenue function is given R(x,y) = 19+162x+210y-3x2-5y2-6xy  , it is function of two variable  Findi...

Q: y? Assume you are given the surface S with equation p2 9. 1.

A:

Q: 4. Determine if the relations given by the graphs below give y as a function of x. If so, determine ...

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Q: If f(x)dx = 5, f(x)dx = 2, and f(x) dx = -1, find f(x)dx. %3D %3D %3D ... А.) —2 В.) 2 C.) -3 D.) 3 ...

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Q: (2x+5)² 2. What should be the rewrite of the integrand of ſ x2 dx so that the resulting integral is ...

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Q: A bulletin board can be covered completely by 36 squste pieces of prater without any gaps or overlap...

A: Solution: 6. square paper side = 1 foot

Q: In this calculus problem use the information in the graph thts ona separate attachment. a) whats...

A: Inverse function theorem(f-1)'(x)=1f'(f-1(x)) whenever f'(f-1(x))≠0

Q: 11.Determine the equation of the curve whose tangent line at any point (xy) is e* – sin x and passes...

A: Given problem:- Determine the equation of the curve whose tangent line at any point (x,y) is ex -sin...

Q: Given a function whose graph is shown below 6- 5- 4- f(x) -3 -2 |-i 0 1 2 3 4 5 -1 -3 What is f(1)? ...

A: for x=1 there is no corresponding y value , That is there is no close circle for x=1, Therefore f(1)...

Q: dy (x + 1)+ (x + 2)y = 0 dx

A: Follow the procedure given below.

Q: what is the effective annual yield if a deposit of 1000 grows to 2200 in 9 years? round answer to tw...

A: We know that A = P(1+r)t         where A = future value                  r = interest rate or effect...

Q: Determine if the given function is continuous on each of the given intervals. A. f(x) = 3x³ + 4x² - ...

A:

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

A: According to the question: It is given that dPdx=0.0006x2+10. we have to find P when x=100. Now  dPd...

Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3...

A: Follow the procedure given below. 

Q: Consider the graph of f. y 4 3 1 1 2 2 3 4 5 6 7 8 9

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Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-5 Select the correc...

A: Given query is to find the equation of the tangy.

Q: For the function, find the following. X + 1 2x (a) f"(x) 242 (b) f"(3) = 2/3 ||

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Q: Find the value of k so that the value of f, (2y – 1) dy is 10. а. 1 b. 2 с. 3 d. 4

A: Given:      ∫2k 2y-1dy = 10

Q: Find the moment about the x-axis of a wire of constant density that lies along the curve y = 6x from...

A: moment about the x axis is given by Mx=12∫abf(x)2-g(x)2dx

Q: Evaluate the given limits numerically and graphically: lim /x² – 36 X-6 1. 4. X-3 x2 - 9 1 lim 2 Vx2...

A: 2. The given limit is limx→21x2-4.   It is evaluated as follows: If limx→a-fx≠limx→a+fx then the lim...

Q: If f(x) = Vr, match each formula to its corresponding graph. the graph in red 1. g(x) = -f(2x) 2. h(...

A:

Q: There is a relationship between perceived corruption and human development in a country that can be ...

A: Here we have given a relationship between perceived corruption and human development in a country th...

Q: Given a function f (x) whose graph is shown below. (6,5), (1,4) (-4,2), 2 (6,2) -6 -4 -2 2 4 -2마 9(1...

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Q: The definite integral (-*+) dx when evaluated is equal to 11 Find the value of a. 12 3Vx a

A: J

Q: (:) 8. dw 4. 6tan w

A:

Q: (b) Given the first-order differential equation as below: (x² +3y² +5)dx+(6xy +6y+3)dy = 0 (i) Ident...

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Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

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Q: LINEAR DIFFERENTIAL EOQUATION WITH CONSTANT COEFFICIENT (STEP BY STEP SOLUTION) d2x dx 3x = -9t² – 1...

A: The given differential equation is; 2d2x/dt2 - 5dx/dt -3x =-9t2-1. t=0,x=1,dx/dt=0.

Q: dy +7"y – 7= 0 can be classified as dx The differential equation order 1, linear, and homogeneous or...

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Q: (2x+5)² What should be the rewrite of the integrand of S x² dx so that the resulting integral is int...

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Q: Live equation ar differential with constat coefficients dx -3x 3x = -9ゼー1 5. | dt? dt

A: We have to find the general solution of differential equation

Q: Let f(x, y) = (4x – y)". Then a²f даду dxðydx dx²dy

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Q: Find

A: Solution is here

Q: 11.Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passe...

A:

Q: 5dx If Verz+1= 2, what is the value of b? %3D A.) 2 B.) 4 C.) 8 D.) 9 A D B A

A:

Q: Find f, (X,y) and fy(x,y). Then, find fx(-3,1) and fy(-4, - 2). f(x,y) = - 2xy + 3y + 8

A: Given that: f(x, y)=-2xy+3y3+8

Q: Let s = f(t) give an object's height, in feet, a seconds after it is thrown. After 3 seconds, tE fee...

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Q: For the Ordinary DE y = f (x, y) to be guaranteed to have a unique solution containing the point (xo...

A: We have to choose correct option where differential equation have unique solution

Q: 16. 5dx If +1= 2-, what is the value of b? 4 V8x2 a.) 2 b.) 4 c.) 8 d.) 9

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Q: (a) Show that if (a,342) = 171 and (b, 342) = 171 then (a+b,342) = 342. %3D %3D (b) Show that if (a,...

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Q: P(#) Question 4: When working with rational functions of the form f (x) = and the function does inde...

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Q: 13. To evaluate f 2costx-1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+csc²x)dx b. [...

A: Here we have to transformed the given integrand.

Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not ...

A: We can take logarithmic to solve it easily.

Q: Use the limit definition to compute the derivative of the function f(x) = 5x- at x = 3. (Use symboli...

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Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f (t) = 2e-3! sin...

A: we use shifting property of laplace transform 

Q: In Problems 63–68, find f' (x) and find the value(s) of x where the tangent lině is horizontal. 65. ...

A: The given function,  f(x)=x2x+52