determine the open intervals on which the graph of the function is concave upward or concave downward. Y=5x-2 tan(x), (-pi/2, pi/2) Concave upward: ? Concave downward: ?

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Q: The concentration of salt in a fluid at (x, y, z) is given by F(x, y, z) = 2x² + 2y² + 4x²x² mg/cm³.…

A: Given, the concentration of salt in a fluid at (x,y,z) is given by F(x,y,z)=2x2+2y4+4x2z2 mg/cm3. We…

Q: th Find a formula for the n™ partial sum of the series 4-=+ 7+ 49 343 OA. The series is convergent,…

A: Given

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A: Given query is to expand the logarithmic expression.

Q: f(x) = sin -¹(√sin (v sin 0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given query is to find the solution of the expression.

Q: cos (-195°)

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Q: Show all work for the problems below. Use the given formula below. rth Term of a Binomial Expansion…

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Q: Find L-tan -¹ (7/²)

A: We are asked to find the inverse Laplace

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A: Given: Rate of interest of lower yielding=6% Rate of interest of higher yielding=10% Total annual…

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Q: Due to changes in the environment the fraction of the population in Artemis (fictional) with…

A: see below the answer and calculation

Q: Let P(h) = where we are using "exp" to denote the exponential function with base e. That is exp(u) =…

A:

Q: Determine the following limit Give a complete of each part and the properties used. justification a)…

A: Introduction: The right-hand limit of a function is the value of the function approaches when the…

Q: 32. (x² + 2y²) dx = xy dy, y(-1) = dy 33, 2x². dx 3xy + y², y(1) = -2 2 34. xy dx - x² dy = y√x² +…

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Q: Graph the function. [xl if x s1 x² if x>1 f(x) = ZV

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Q: Consider the following polar curves: r = 1 cos 0 r = 1 - sin 0 (a) Find the points of intersection…

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Q: Obtain the differential equations with the following general solution: x^2y = 2sinx + Ce^2x…

A: Given General solution:- x2y=2sinx+Ce2x

Q: Using Theorem on arithmetic operations on two sequences, find the limit X=8 Y=2 7. Using Theorem on…

A:

Q: Consider the following relation. ارما 3 -3 Step 1 of 2: Determine the domain and range for the…

A: Given:

Q: lim x → 2 2 x²+x-6 x-2

A: Factorize the numerator and cancell the common factor.

Q: First use the formula A-1 = A = Find A-1 76 98 ; b = ad-bc d -b -C a for the general 2 x 2 matrix A…

A:

Q: For the given functions f and g, find the requested function and state its do f(x) = x-9; g(x) = 9x²…

A: Given query is to find indicated function and it's domain.

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n O A.…

A: The given sequence is: an=11n11n As  n→∞ , we get an INDETERMINANT FORM:  00  L'HOPITAL'S RULE:…

Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (5, 2) and the direction in…

A: We have to find the maximum rate of change of f(x,y)=ln(x2+y2) at the point (5, 2) and the direction…

Q: Using the substitution u = sec(x), rewrite the integral tan7 (x) sec(x) dx as an integral involving…

A:

Q: Let f(x, y) = 3x + 2y 10, in its domain a) f has a local minimum. b) f is a bounded function. c) f…

A: Introduction: To find the critical points of two variables function we have to find the partial…

Q: 7. For the following questions, use the graph of y = f(x) below. -4 -3 -2 1 4 -2 ON 4

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Q: QUESTION 6 Find the domain of the composite function f.g. f(x)=x²-4, g(x) = 2x + 3 O [0,⁰⁰) O…

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Q: 8h n+1 Does the series Σ converge or diverge? n=1 Choose the correct answer below. A. The series…

A: Given query is to find series converges or diverges.

Q: Find the sum of the series below. Σ n=1 24η (2η – 1)2 (2n + 1)2 -

A: Answer: The solution is as given below:

Q: 4. Determine the value of a so that the following function is continuous at x = 2. -2 h(x) = x²-x-…

A: A function is said to be continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a)…

Q: Find the derivative of the function. 4 3 q=√x-2x q' =[

A: Useful formula for derivative of function÷ If y=fxn then dydx=nfxn-1f'x

Q: Give the reduced row echelon form of the augmented matrix. [14 -2 150] 0-5 3 100 26 -3 200 000 J

A:

Q: Find the absolute minimum and absolute maximum of on the closed triangular region with vertices…

A: Given f( x , y ) = 20 - 10x + 14y

Q: Solve the differential equation (x² + y²)dx − 2xydy = 0.

A: Given differential equation ( x2 + y2 )dx - 2xydy = 0

Q: 7. y sin x, y = π/2, x = 0; about y = 3

A:

Q: The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate (a) Which rule…

A: see below the answer and explanation

Q: Consider the function f(x) = 9x - 4 on the interval [-3, 2]. Find the absolute extrema for the…

A: Given the function fx = 9x-4 on the interval -3, 2.

Q: 妇 31. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0)

A: Note: Since the student has mentioned to solve question no. 31, so we are solving according to…

Q: Consider the function f(x) = 5x² 40x on the interval [0, 7]. Find the absolute extrema for the…

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Q: Suppose that you push a book across a 3-meter-long table by exerting force f(x) at each point from…

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Q: Question 1 Evaluate the following limits based on the given graph of f(x). (a) lim f(x) x→∞0 (b) lim…

A: we can find limit .

Q: 2) lim x → 0 cosx−1 sin x

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Q: Let ƒ(x) = 10x + 2x². Compute the difference quotient f(x+h)-f(x) h and simplify it so that it has…

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Q: . A smalle funnel in the shape of a cone is being emptied of fluid at the rate of 12 cubic…

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Q: Suppose ƒ (x, y) = −3x² − 1xy + 1y², P = (2, −3), and u = :(. 16). -12 20 20 A. Compute the gradient…

A: Given function is f(x,y)=-3x2-xy+y2 , P=(2,-3) and u=(-1220,1620)

Q: 0 a y = f(x) R b r

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. an = 7 11 15…

A: