Given f(x) = x² + 3x +1, g(x)= 4x – 11 and h(x) = 7 – x°, simplify the expressions / evaluate the following:

Q: I find (fo g)(x) by replacing each occurrence of x in the equation for – with,

A: To find:                    (f o g)(x):   We know that this is the composite function;   So,…

Q: Q4 If f (x, y) = x sin y + ey asf ax2ay3 Find

A: Let's find.

Q: s) find y"= f"(x), given x+y =16 in simplest form.

A:

Q: xpáp -1 dydx In(y)

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: 'ind, from first principles, f.(3, –1) for f(x, y) = 4x²y² + e%.

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Q: Find f'(0) for the function f (x) = 3.xe 5x %3D Answer:

A: use the formula for the derivative  d ( u v ) = u dv + v du  ddxeax=aeax,ddxax=a

Q: If f(x,y)=xe/2+118x?y, then asf at (1,1) is equal to əx²əy³

A: Given function is: f(x,y)=xey22+118x2y3 Derivative of function with respect to 'x'…

Q: For the function f(x.y) = e 4xy, find f, and f,. f, =

A:

Q: Q₁ /Find x, y E R for: -i+1 2-i c) √

A: To find x, and y for the below complex number. −i+12−i

Q: (a) (Xn+r)nzo for fixed r≥ 0,

A: Markov chain: A Markov process with discrete time and discrete state space is known as Markov chain.…

Q: f(x,y)=ylnxsinx, find fxxxxxy(π,1). Keep your answer to 3 significant digits.

A:

Q: f(x,y)=xe*/2+275x²y³, then at (1,1) is equal to əx²əy³

A:

Q: If f(t) = 103t-5 x e2t, determine the value(s) of t so that f'(t) = 0.

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Q: Given f(x,y) = -4xy² where x = 4t and y = 2t2. Find f' (t) at t = 9. Answer:

A: Explanation of the answer is as follows

Q: For the function y = f(x) = x² – 3x − 4, x ≥ 1.5, find df dy y=2

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Q: Given f (x, y)= y find the value of a²f &f_at the point (1,1). дхду а. 4 O b. 2 O c. -2 O d. -4

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Q: Determine whether the following statement is true or false. — [√³] = √f'(x). dx If y = f(x), then

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Q: If f(x, y) = (18x ), then Te is given by: 9. -

A: It is partial derivative with respect to y differentiate with respect to y using chain rule and…

Q: Show that S> 0.

A:

Q: For f(x, y) = xex2y, find fx and fy, and evaluate each at the point (1, ln 2).

A: Given: fx,y=xex2y

Q: The mgf. of a r.v. X is (}+3) (+e) . Show that 9-x Ρ(μ- 2σ<X<με 20 - Σ (!) ( (3) P (μ- 2σ< <μ+…

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Q: Find partial derivative.

A: We use product rule to find the partial differentiation.

Q: If f(y) = V4 - 7y, find f'(y). Use exact values.

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Q: dx first using a trig substitution and then using a standard substitution. x²+36 Find f

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Q: 3 S(x) = 6x² + x – 7 Find the coordinates of the point of inflection on and prove that it is a point…

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Q: Find the fourth derivative, f(4) (æ) for the function, f(x) = x6 – 16x3 %3D 6x5 - 48a? O 120r3 12022…

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Q: xỉ + yj+zk. If ū

A: In the given question, the concept of curl is applied. Curl Curl is a vector operator in…

Q: LIf f(x) = 2 sin(x) + 2x* , find f' (3). f'(3) =

A:

Q: r {(2) = In(V32" + 5x° + + 6), find f'(r). Use exact values. If

A: Given function is fx=ln3x6+5x3+67      =ln3x6+5x3+617=17ln3x6+5x3+6

Q: Find the local extreme values of f(x, y) = 3y² – 2y³ – 3x² +6xy

A: According to Second Derivative Test for Local Extreme Values Suppose that f(x,y) and its first…

Q: Which of the following equations determines E(XY)? »(x, x y (х, у) ,(x,

A: we have to determine the correct option of E(XY)

Q: Q5) Solve the following using Trapezoidal rule with n6 f(x) = f*xinx. dx

A:

Q: For the function f(x,y) = e 12xy, find f, and f,.

A: The given function is  f(x, y) = e12xy To find fx, fy

Q: a prob. 174 Find (c) E (XY)

A:

Q: (c) Find PMF of X and using that find E[X].² (d) Find P(Y > 5 | X = 3)

A: Joint distribution:PX,Y(x,y)=223614x-113y-1; 1≤x≤yMarginal PMF of…

Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Q: Given that f(x,y)=ylnxsinx, find fxxxxxy(π,1). Keep your answer to 3 significant digits.

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Q: If F = 3x?i + 5xy²j+ xyz³k, find (V x F) at the point (3,1,2).

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Q: Given f(*, y) = 8a'y - 4cy. Compute:

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Q: Given f(x,y) = -3xy² where x = 5t and y = 9t2. Find f' (t) at t = 8. Answer:

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Q: Find the following derivatives. zg and z4, where z= e 9x + 4y x= 5st, and y = 2s +9t (Type an…

A: z=e9x+4y; x=5st and y=2s+9t

Q: Find values of a and b for whichLim x approaches 0((cosax-b) / 2x^2) =-4

A: First we let b=1 and use substitution property of limit to check if it is 0/0 form or not . SInce…

Q: For the function y=inx, find f(e^2)

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Q: For f(x, y) = ln(2x+16)/(2y+16) , find the domain.

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Q: If f(x) sec x, find f"(T/3). f'(π/3 ) = Need Help? Read It

A: Answer is 14

Q: For f(x, y) = 2x3 + x²y? – 5ya + 10, Find fgi Find fax: Find fxy

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Q: Given f(x, y, z) = 6x2 + 2y? + 3z², find

A: Given,          fx,y,z=6x2+2y2+3z2

Q: Given the equation 3x + 2xy -y = 0, evaluate Assume that the equation implicitly defines y as a…

A: We have to find the derivative dydx of the given function.     According to our guidelines, we can…