Find all first partial derivatives, and evaluate each at the given point.                  f(x, y, z) = √(x2 + y − z2),         (−3, −3, 1)

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A: 4cos2 x + 4 sin x -5=0, 0≤x<2π

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A: Solution -    The given temperature function is as - f(x)=13.4 lnx-11.6where x=time in minutes.a.) C...

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A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

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A: To find the effective rate Given nominal rate=16% compounded quarterly

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A: dydx=ex-y ,   0, 1 On simplification, we get dydx+y=ex Now comparing with dydx+Py=Q, we get P=1 &amp...

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Q: Multiply or Divide : (x2 - 5x - 24) / (x2 - x - 12) ÷ (x2 - 10x + 16) / (x2 + x - 6)

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Q: 2) Suppose the graph of f (x) and the graph of its derivative f '(x) are shown below. Find an equati...

A: From the graph of f(x) , at x=1, f(x)=1 From the graph of f'(x), at x=1, f'(x)=-2  

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Q: A coin sold for $252 in 1975 and was sold again in 1989 for $486. Assume that the growth in the valu...

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Q: Calculate the first five derivatives of f(x) = sin x. Then determine f9(x) and f(102)(x).

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Q: Find ∫−4x2(4x3−1)7 dx. Do not include the constant "+C" in your answer. For example, if you found th...

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Q: 7. Find the general solution y(z) of the following second-order linear ODES: (a) y" – 4y' + 3y =- 0 ...

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Q: Suppose the population of a country increases at a steady rate of 3% per year. If the population is ...

A: Given,           Suppose the population of a country increases at a steady rate of 3% per year.     ...

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A: Linear velocity: v=rw Where r is radius of a circle. And w is the angular velocity.

Q: Calculus Question

A: Given that: The height of the water H in feet at a boat dock t hours after 6 A.M is given by  H = 11...

Q: Sketch the graph of f (x) = 3 cos (2 (x + π/2)) over [O, 2π].

A: Given: f (x) = 3 cos (2 (x + π/2)) over [O, 2π]

Q: Find the derivative of each of the following functions. Write the derivative in proper form but DO N...

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Q: 15.2 Q 12

A: Given region is and function is fx,y=x     .....1

Q: DIRECTION: Solve the following problems. Apply the different rules and formulas for differentiation ...

A: To find derivative of j  fx=xcosxk fx=103xl      y=x+2x

Q: (a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) ...

A: Given

Q: Test r2 = 9cos 2θ for symmetry and then graph the polar equation.

A: We have to test r2=9cos2θ for symmetry and then graph the polar equation.

Q: Question attached to photo.

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Q: Use the linear approximation to estimate delta(f) = f(4.8) - f(5) for f(x) = x-7x^2 (use decimal not...

A: ∆f=f4.8-f5 for fx=x-7x2.

Q: Determine whether the equation ln e = 0 is true or false. Where possible, show work to support your ...

A: To determine: The given equation ln e=0 is true or false.

Q: 5. The education of women in Oman in the year 1999 was (30+S) percentages. It was increased to (75+R...

A: The education of women in Oman in the year 1999 was (30+s)%= (30+1)%=31% In the year 2015, it is (75...

Q: Simplify the rational expression. 4(x² – 1) 5(x – 3)(2r + 1) 10(x – 3)2 15. 16. 12(x + 2)(x – 1) *- ...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: 3. Suppose that sin r =, x lies in quadrant I, and sin y = 3 and y lies in quadrant II, find sin(x +...

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Q: 1 ? Why? 0* In(x) What is lim 10 8- 4 2 5 6 8 10 -4 -6 -8 -10 3.

A: The graph of 1lnx is, From the graph we can see that, As the value of x tends to 0 from the right s...

Q: Decide if the following claims are true or false, and give shortjustifications for each conclusion. ...

A: If limx→afx=0, then limx→afxgx=0 for any function g (with domain equal to the domain of f). The give...

Q: (e-1)(e2+e+ 1) d2r then Ifr= 03 de2 (Hint: Simplify First) Select one: a. 12 05 b. 3 e4 C. 12 d. 12 ...

A: r=θ-1θ2+θ+1θ3, We have to find d2rdθ2=?.

Q: Given f(x)=(x+1)ex find the equation of the line tangent at x=0 .  Where does the tangent line inter...

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Q: Define the term Continuity Conditions?

A: Given that: The term Continuity.

Q: Let f(x) = x + 3 if x ≥ 5, 8 if x < 5. Find f(12) - f(-12).

A: