Determine if the relation defines y as a function of x. y -5 -4 -3 5 -2 LO 5- 4 3. 2 11 1 -1- -2- -3- -4 C S 2 3 4

Q: Evaluate the following integral. 3 5x(x - 3)dx 0

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Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: Katrina has 32 stamp, some are P3.00 and the rest are P5.00 stamps. The stamps are worth P120.00.…

A: Katrina has 32 stamp, some are P3.00 and the rest are P5.00 stamps. The stamps are worth P120.00.…

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

Q: -4 -3 -2 3 2 -1 -2 -3- ● 1 2 3 نیا X

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Q: Which of the following graphs represents the function g(x) = x(x + 1)²(x − 2)? g(x) 4 4 3 g(x) 4 3 O…

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Q: 1. Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis. f(x) = 4x-x² 3 2 3 1 2…

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Q: The graph of f(x) is shown below. Which of the following statements are true? y -7 -6 -3 -2 Select…

A: Here we have to choose the correct option.

Q: 1. xex² dx ·6². 2.52²dx answer: answer:

A: ∫01xex2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫euduWe know that ∫audu=auln(a)=euPlug in the solved…

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Q: maker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long,…

A: This question is based on law of cosines.

Q: Consider the function f given below. 2 X-9 f(x)= = x-3 a) For what x-values(s) is this function not…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find dy if y=t² & t = √h and h = x² dx

A: Given :y=t2t=hh=x2

Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: Graph the line with slope passing through the point (1, 3). 4 X 5 ?

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Q: Differentiate the function. 7-x f(x) = 2+x f'(x) =

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Q: What is the domain for the exponential function f(x) = -5log(x-2)? OD: (xe R) OD: (xe R|x>-2) OD:…

A: Here we have to find the domain of the given function.

Q: Find the general solution of the following equations: a.(d^3y/dx^3)−2(?^2y/dx^2)−3(dy/dx)=0…

A: We need to solve D.E.

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

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Q: etermine whether the function is one-to-one. If it is, find a formula for its inverse. 9 x+2 *** the…

A: We are asked to find inverse of the function when function is one to one.

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. Assume a = 6 m, b =…

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Q: Find the greatest common factor and least common multiple of A, B, and C. Write your answers as a…

A: We need to find G.C.F. , H.C.F.

Q: Question 8 Match equation graph with its parametric equation. Not all equations will be used. All…

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Q: Evaluate the integral. 1 u5 1 [(4-3- du u √√2 5 1 --- 4 3 1 √2 du = (Simplify your answer.)

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Q: Find the directions in which the function f(x, y) = x²y +exy sin(y) Increase and decrease most…

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Q: 1. Evaluate the improper integral 150 xe dx or state that it diverges.

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Q: Use the compound-interest formula to find the account balance A, where P is principal, r is interest…

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Q: 2 Express (5+1)² in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O…

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Q: A polynomial f(x) has the given zeros of 6. -1, and -3. Part A: Using the Factor Theorem, determine…

A: we have to find the polynomial whose zeros are 6 ,-1,-3.

Q: -1 16/(A)Evalute ex² dxdy. (B) If f(x, y) = x² ye(x+y²) Find the four seconed partial derivative.

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Q: 7. Use the Divergence Test to determine whether thee following series diverge or state that the test…

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Q: Find the inverse function of f(x) = Specify the domain for f-¹(x) f-1(2) = = 2-9 Domain of f¹(x)…

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Q: Express as a sum or difference of logarithms without exponents. 5 4 X log c 4_7 y'z What is the…

A: log(a^n) =n(log(x))  log(a/b) =loga- logb log(ab) =loga +logb

Q: 3. Find the limit of the sequence 12n5 6n5 +47 :} or determine that it diverges.

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Q: A parallelogram of rectangular surfaces has a square base and its volume is always 108 cubic…

A: Given information

Q: Suppose fe Cla, b] and f'(x) exists on (a, b). Show that if f'(x) #0 for all x in (a, b), then there…

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Q: dz Consider the equation 4 sin (x + y) + 7 sin (x+z) + 2 sin (y+z) = 0. Find the values of dx (...)…

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Q: Use the graph and the function to find the following. a) Find lim k(x). X→-1 b) Find k(-1). c) Is k…

A: We need to check the continuity of the given function in the shown graph.

Q: Find the length of the following two-dimensional curve. π 3 r(t) = (3 cos ³t, 3 sin ³t), for Osts- 4

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Q: 5/(A)Evalute ex² dxdy. (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

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Q: Q2: Find y(2) if D.E as give 2 dy+3y=sin 2x, y(0) = 6 dx Given

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Q: Find the mass of a thin funnel in the shape of a cone z = √√x² + y², 1 ≤ z ≤ 2 if its density…

A: Given: z=x2+y2ρ(x,y,z)=12-z

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

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Q: Solve the differential equation (24xy +24y²) + (8x² +24xy)y' = 0 using the integrating factor u(x,…

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Q: A cylindrical column is (3m) high and (0.2m) radius, if the radius of the column increases at a rate…

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Q: The equations for the plane through p0(0,2,-1) normal to n =3i - 2j - k O 3x-3y-3z=0 O 3x-3y=z O…

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Q: dy Find for y = dx dy dx 1 13

A: The required derivative is given below

Q: Express as a single logarithm and, if possible, simplify. 1 log b +3 log c 2 log b + 3 log c = 2…

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Q: (1+x)*dx X

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