HW Hw2Find average te g change of fex) behween X = - frx) = and X=4 -x' -x²4 3x2 Ans 9 TryHW Gvaph and find Domain O flx) = %3D ハ× さい x1 ) ff x) = Q>x す! if xニo if x>o 2)

Q: Find F if del-F = (2xy, (x^2 + 20y^3))

A: We have to find out

Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

A:

Q: Find all inflection points of ?(?) = ?(? − 4)^(3).

A: points of inflection can be calculated by finding out double derivative of function and put it equal…

Q: /3 89. sec²0 d0

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Q: GIven the function fa)= (1t2x), compute f1). Round to nearest tenth.

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Q: ({)*** = 2x+2 27 %3D 125

A: topic - exponents and linear equation

Q: [5 8 If A = 0 1 1 find A-1. [4 3 -1]

A:

Q: state the domain in interval notation for y= 3x^4 - (√2)x^2-22/3

A: Given the polynomial function .

Q: Let fg= x²-6x²_15tso x750 find the inflection paint() Ocn

A:

Q: s coszy -sinzy)du

A: To find, ∫cos 2x - sin 2x2 dx

Q: By using equation qx= 2mx/(2+mx) , derive a similar equation for the more general case of an age…

A: Given: qx=2mx2+mx To Show: qxn=2×n×mxn2+n×mxn

Q: Two functions are said to have the same end behavior if their ratio approaches 1 as x -> + infinity…

A: Given two function 3x5-5x3+2x and 3x5.  Let f(x)=3x5-5x3+2x and g(x)=3x5Then f(x)g(x)=3x5-5x3+2x3x5…

Q: Find domain and range of the * function y = Vx2 – 4x

A: To find the domain and range of  y=√(x²-4x)

Q: 6) - secx tanxd x

A:

Q: 5=/x=

A:

Q: On what interval is the function x^3-4x^2+5x concave down

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Q: Let k(x)=〖2x〗^2-4x+6, find k(-3)

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Q: Computate the derivative Y= 9X V1-9x

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Q: Find the value of n(A) if n(B)=32, n(A^B)=17, and n(AUB)=49.

A: Given information:The value of n(B) is 32.The value of n(A∩B) is 17.The value of n(AUB) is 49.

Q: let f(x)=2x^2+1 and g(x)=3x-5. find the following? a. (f*g)(2)=f(g(2))

A: Given function is f(x)=2x^2+1 and g(x)=3x-5.

Q: Find the coefficient of x^0. (X^2 +1/x)^15

A: In this question we have to find the coefficient of x0

Q: Find A if possible. If not, write “not defined". 1 8. A= 1 6 A- ) 3 1 9. А%3 9. 3

A:

Q: y=(x+1)/(x^3+x-2) differetiative

A: Given function y=x+1x3+x-2. The objective is to differentiate the function.

Q: Let fr= xー 6x-15xt50 find the inflection point@)

A:

Q: 16, d) x16 x^(8/

A: We have to simplify:

Q: Z is equal to s^2+t^2 in the original problem. Please refal

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Q: Write down the operator A^2 for (x. d/dx)

A: The product rule of derivative can be stated as ddxf(x)g(x)=g(x)ddx(f(x))+f(x)ddx(g(x)) .