ind the average value of the function f (x, y, z) = x² + y² +2²³ over the rectangular prism 0≤x≤ 5,0 ≤ y ≤ 1,0≤z≤1

Q: etermine the derivative of f(x) = a. f'(x) = -x_ 7 cos x − tan² x− 1 (secx+7)² b. ƒ'(x) = − µ* _ 7…

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Q: Q3/Find the value of x If the approximation of the integral ſ f(x) dx by trapezoidal method is given…

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Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

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Q: Find the length of the curve for 12x = 4y³ + 3y-¹ where 1 ≤ y ≤ 3 Enter your answer in exact form.…

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Q: Differentiate the following using Chain Rule. 1. f(x) = (2x - 1)4

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: (CLO-3] The second derivative f(x) of a function is given. Use this information to find all values…

A: The second derivative f''x of a function is given. By using this information to find all values of x…

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A: Follow the procedure given below.

Q: Evaluate the following integrals: 0 • (Cartesian to Polar) Civen the cartesian coordinate, find FOUR…

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Q: .

A: Please refer to the image below

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Q: Find the equation for the plane through the points Po(1,4,-3), Qo (5,5, -1), and Ro(-2,4,-5 The…

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Q: n³r" Find the radius of convergence for the series 1 3⁰ OR= =/3 OR=1 OR=3 OR=1/ R = ∞

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: 2. (a) | +4 Evaluate the integral. √2x + 1 dx

A: Taking substitution as 2x+1 = t

Q: A. Find the general equation of the conic with the given properties. A hyperbola with foci at (4-…

A: Given problem:- A. Find the general equation of the conic with the given properties.   A hyperbola…

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Q: 1 83 -8 14(e++e²¹) Option 1 - 1 + ½ (0²¹ + ²) Option 2 1+1(e²¹+ e²) Option 3 - -/-(e²+ + e²) 1.…

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Q: (c) 1 e¹/x x² dx

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Q: Find the total area of the shaded regions. C 5 y= ex 4 3- 2- 1- 0- -1- -2- -3 ✪ Q G The total area…

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Q: b) √ ²x³-x+4 dx x3 7T 4 (sin X

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Q: A. Find the general equation of the conic with the given properties. A hyperbola with foci at (4 -…

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Q: ou make an investment of $4,500 and the investment loses a continuous 5% each year, what will the…

A: Given query is to find the value of investment after 15 years.

Q: {CLO-1} Find the values of a and b such that the following function is continuous everywhere. ax²-a…

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Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

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Q: integral e^u du = e^u+ C. Is it true or false

A: Given query is to find statement is true or false.

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Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Given query is to find the attached population after 15 years.

Q: You are designing a container that is a right circular cylinder with a volume of 1000 cubic…

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Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

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A: We have been given that curve  y =32cosx with -π3 ≤x≤π3                  and   density…

Q: calculator. Use this graph of function f. y at X = O conly. Od only. Oc and d only. O a, b, c, and…

A: Topic:- function

Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (9y) at the points (0,0) and 0, ¹2…

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Q: Given R(t)=4 cos ti + (1+3cost)j +5sintk. Find T'(t).

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Q: Assuming that z is a differentiable function of x and y, use implicit differentiation to find…

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

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Q: Given R(t) = 4 costi + (1+ 3cost)j +5sintk. Find N(t) at t = = www. N(t) = ----k 10 Option 1 N(t) =…

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Q: 2. Consider the function f(r). 2r²-9r-18 r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of…

A: We have to sketch the curve and find area.

Q: Find the volume of the solid generated when the plane region bounded by: x=y^2 and x+y=2 is…

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

Q: Find the area of the shaded region. 49- y=49-x² 35- 21- 7- اتنا -17-1 -21- -35- -49- F3 5 th Fo Q Q…

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Q: Evaluate lim f(x) where X-3 (3x-2 if x3 09 O does not exist O 11 07

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Q: 3s - 8 4s² + 25 3 8 25 -sin COS Option 1 None of the Choices 2 4 (sin t) - 25 (cost) Option 5 8 25 3…

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Q: Find the particular solution (D² + 4D + 4) y = 0 when x = 0, y = 1 and y' = -1 What is the general…

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Q: Find all critical points of the function f(x) = 4x² 3x²-2x+12

A: Here we have to find the critical points.

Q: The population of a small city is 374,000. If the population grows at a rate of 2.1% per year, what…

A: Given query is to find the population after 25 years.

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: what is b if ( log b x) ' = 1/3x

A: Concept: Derivative of log(x) is  logx' logx'=1xln(10)....................(as log is default base…

Q: Consider the following function, f(x) = x³, 3 a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate

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