Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 72 and P = xy2z is a maximum.   (x, y, z) = (

Q: (cos-1+tan-¹) exactly (no calculators). 2 Evaluate sin (cos

A: We use  sin(A+B)=sin(x)cos(y)+cos(x)sin(y)

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Q: The function f(x) has a domain of (-∞, ∞) and a second derivative given by the following. F"(x) =…

A: Topic = Derivative

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Q: Find the volume of the solid that lies above the cone p= 12 cos(p). 1 3 and below the sphere

A: Given:- Cone ϕ=π3 Sphere ρ=12cosϕ

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Q: Fill in the spots in the integration process below based on the indefinite integral 4x²-25 S using…

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Q: Suppose f(x) is continuous on [2,7] and -5 ≤ f'(x) ≤ 2 for all in (2,7). Use the Mean Value Theorem…

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Q: An open rectangular box (no top) is formed with a square base and rectangular sides so that the…

A: Solution is given below:

Q: What is the exponential function of the graph shown below? Provide your answer below: f(x) = -2. -2…

A: Given graph

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Q: Σ n=1 2n + 5 n 5η

A: Given series ∑n=1∞2n+55n

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A: The objective is to find the sum of the series.

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Q: or problems 1-3, prove the given identity. 1. tan(-x) cos x + cscx sinx = 1 - sin x

A: Prove the Identity

Q: By changing to polar coordinates, evaluate the integral where D is the disk x² + y² ≤ 25. Answer =…

A: Given data÷ ∫∫Dx2+y23/2dxdy Where D is the disk x2+y2≤25   Now main part of conversion from…

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: Condense log(x-1)-log(x+2)=0.1

A: need to condense the logarithmic function.

Q: Which statement regarding these polynomials and their zeros is true? - ○f(x) = (x² − 1) (x + a) has…

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Q: Use concepts learned in this module to complete this problem set: particle motion, applications…

A: Solve for the limit

Q: 3x+1=32

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Q: Evaluate the double integral is the region in the first quadrant enclosed by the circle x² + y² = 36…

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Q: y = √x² (2x - x²)

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Q: Calculate the derivative of the following functions. Use the rules for derivatives. a. w(x) = x² +…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Remember when answering True/False questions that you should only answer "True" if the statement is…

A: A non-empty subset W  of a vector space V(F) is a subspace of V if and only if au+bv ∈ W for a,b…

Q: 2пх2є 2πx²e³dx 0 akes a negative value? or example, an (incorrect) answer would be c ≥ 3π. Notice…

A: Given query is to find the value of c for which integyis negative.

Q: 1 for convergence, you 6k8 + 8k¹2 k = 1 will use the Limit Comparison Test, comparing it to the p 1…

A: soution:-∑k=1∞16k8+8k12ak=16k8+8k12Limit Comparison Test using the P series ∑k=1∞1 8kP where…

Q: and the present value of the given future amount. Assume 360 days in a year. $123,622 for 237 days…

A: Given query is to find present value .

Q: ← → CO Exit 2-1: Assignment October 26, 2022…

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Q: -1 Consider the function f(x) = 8 +52 . For this function there are four important intervals: (-∞,…

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Q: using DESMOS calculator, shade the area that is INSIDE of r = 3 + 3 cos (theta) and OUTSIDE of r =…

A: The objective is to  share the area that is INSIDE of r = 3 + 3 cos (theta) and OUTSIDE of r = 3.…

Q: Use implicit differentiation to find dy/dx and d²y/dx². xy + 3 = y, at the point (4, -1) Select one:…

A: According to guidelines I can solve only 1st question

Q: da 14 a non data egio max.: ontrassegna anda Precedente The solutions of the inequality e O x+1 (A)…

A: The objective is to find the solutions  of the inequality.

Q: This is incorrcet. The graph is correct but p(x) and the minimum is incorrect

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Q: To test this series for convergence n=1 n nô +2 You could use the Limit Comparison Test, comparing…

A: The given series is n/[sqrt(n6)+2], n from 1 to infinity.

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 7…

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Q: For Problem 1, sketch the graph of one function f(x) that has all of the following properties. 1. •…

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Q: Calculate the derivatives using implicit differentiation: and ST of (TU-V)² ln(W – UV) = 1 at (T, U,…

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Q: ſ f(x,y) dA, where ƒ(x, y) = −525 – 3x and D is the triangle with vertices (–1, 0), Set up the…

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Q: Find an equation of a plane through the point C-5, 4₁-32 Which is or thogonal to the line X= 5+-1₁…

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Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

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Q: y 5 sin(x) cos(x) + 4 csc(x)

A: Given query is to find the derivative of the function.

Q: 2 Given Cost and Revenue functions C(q) =q³-9q² +53q + 5000 and R(q) = -3q² +2400q, what quantity…

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Q: A bank features a savings account that has an annual percentage rate of r = 3.4% with interest…

A: Topic - compound interest  We are given, P: present value =11500r: annual percentage rate=3.4%t:…

Q: The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) = 0 and…

A: use the second derivative test to check the correct answer

Q: (a) y = x Differentiate the following functions, giving your answer in a similar form, without…

A: Note:As per our guidelines we are supposed to answer 3 subparts if there are multiple subpart…

Q: Find the number in the interval [0, 4] such that the number minus its square is as follows. (a) as…

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Q: 2. secx COS Lanx cotx =1

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Q: Mike Branson invested his summer earnings of $3000 in a savings account for college. The account…

A: solution:-Principal amount, P=$3000Interest rate, r=5.5%Time , t=3 months=312 years