Find the intervals where the function 1 f(x) = 2cosx + sin2x, 0 ≤ x ≤ 2π is concave up.

Q: 3 -6 -4 -3 4 Let y = V1 = 1 5 -1 Compute the distance d from y to the subspace of R4 spanned by V₁…

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Q: Give the interval of definition for the solution to the initial-value problem 1 (t-1)y"+…

A: answer is in next step.

Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let ₁ 2 be the…

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Q: A Find (dy/dx) for: tanh ¹(x y) + e(x+y) 5 cos (y)

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Q: You want to purchase a building to open your restaurant and you are given 3 different payment…

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Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…

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Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. Ux=x-yz +y³

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Q: 4. Consider the lines 4: x=1+3ty=2+3t,z=3-10 and 1₂: a) Find the point of intersection of 1 and 2₂.…

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Q: One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0…

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Q: generated by revolving the given plome area line uning the dirc method. (answers ore in cubic a.)…

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Q: Question For the function f(x): = Provide your answer below: a. lim f(x) = x → 5 b. lim f(x) = x →…

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Q: ddy /dx for the following functions: _y².cot x = [sin(x. y)]¯¹ b) y = (Inx+x)tan x

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Q: 18. Which point does not lie on the same plane as the points P(1,5,6), Q(-2,-3,4), and R(-1,3,2)? a.…

A: First we find equation of plane passing through points P(1,5,6), Q(-2,-3,4), R(-1,3,2) We know that…

Q: b) 42x + 4 = 6 (HINT: use substitution)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the vector standard a Ā= (-3.4.5)

A: we know that if v=<a,b,c> then its standard form is v=ai^+bj^+ck^

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Given problem:- The population of a community is known to increase at a rate proportional to the…

Q: 2) The diagram shows two squares. Name a single vector equivalent to each expression. B M F E D a)…

A: Given

Q: Use the difference an+1 an to show that the sequence {n-2"} is strictly increasing or strictly…

A: Given problem:-

Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 2ky+k² = 0 and 2x…

A: The given graphs are x2-2kx-2ky+k2=0.....(1), 2x-2y+k=0.....(2). We have to find the area of the…

Q: 8. Determine a vector equation for the plane with Cartesian equation: 2x -y + 3z-24 = 0

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Q: ) Prove that sech¯¹(x) = In ( ¹+ √¹-x²) X

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Q: (x² - 12x + 9) dx (x²-3x + 2)²

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Q: (3, 2, a) Calculate the magnitude of b. b) Determine whether a and bare perpendicular. c) Find the…

A: Note: as per guidelines we support only three subparts of the questions. Kindly repost next…

Q: 5. The probability that Stu doesn't do his homework is 3/4. The probability that his teacher…

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Q: What is the present value of the firm’s revenue stream given that the time path for a firm’s revenue…

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Q: 4. With the fact of 1² +2²+...+ n² = n(n+1)(2n + 1)/6, prove that n n n(n −1) ΣΣ(i-j)² 6 i=1 j=1…

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Q: (a) Given functions f(x) = 3x+2 and g(x) = x³ - 1, find fog and the inverse of fog. 4. (b) Use the…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

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Q: volume Find the about the given a) sketch the graph 6) Find the limit and 6 OF c) Complete volution…

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Q: Below is the graph of y= log₂ x. Translate it to become the graph of y= log₂ (x+2)+4. X -6 -4 -2 2 ?

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Q: 2. Find the length of arc of the curve x = + from the point where y = 1 to the point where y = 2. yª…

A: Explanation of the answer is as follows

Q: By using the differential operator D and it's inverse, solve this equation: y"" - y" - 6y' = ex ex…

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Q: List a value of X in quadrant ii that makes csc(x)=2 . Explain how you got your answer.

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Q: Q2// Find the resulting volume of the curve y = sin x cos x rotation about the x-axis if x=0, x=/?

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Q: Q1): Find the point (x, y, z) that lines on the plane x + y + 2z = 4 that is near origin.

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Q: company determines that its weekly online sales, S(t), in dollars, t weeks after online sales began…

A: We have to find out the weekly average sales amount

Q: 3 co ós co -6 -3 144 -4 Let y = ,V1= 5 -1 Compute the distance d from y to the subspace of R4…

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Q: Determine the area of the region bounded by the curves y = x4 - x2 and y = x2 - 1

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Q: Determine whether the function defined is one-to-one. f(x)=√/32-x² -X www Is the function…

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

Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

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Q: Given the initial condition y(0) = 1, find the particular solution of the equation y' = e3x - 2y

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Q: For the curve given by R(t) = (cost + tsin t)i + (sin t − t cost)j + (t^2)k, find a. the length of…

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Q: Q2. Find the angle between the vectors and .

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Q: The polar equation r(0) = 4 +5 sin(0) is graphed below. 15+ 14 13 12 11 10 8+ 7 6 + 5 O 4+ 3 2 + +…

A: Above question is solved.

Q: c. p> 1 7.One of the following sequences is divergent sequences a. 3n² + 2n n5 + 7 n! b.{-1)".…

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Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by…

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Q: Find the directional derivative of f(x, y) = √√xy at P(3, 5) in the direction of Q(3.920, 0.795). 1.…

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Q: In(y) = −3x² + ln(7)

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