Find all values of c such that fis continuous on (-∞, ∞). 7-2², a se f(x)= c=2.193 -{} c= 3.193 (smaller value) (larger value)

Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Given problem:- A farmer is building a fence to enclose a rectangular area consisting of two…

Q: Suppose (2, -1) is a critical point of a function f with the continuous second derivatives. If fxx…

A: We need to choose correct option.

Q: f(t) = t cos t L{f(t)} = (s > 0)

A: Follow the procedure given below.

Q: Match the vector-valued function with its graph. r(u, v) = ui + vj + uvk -2-1 2 2

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Q: The Integral f f 1- y² dxdy is equal to: Select one: O None of them O оос 13 23 1|23|2

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Q: The maximum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

A: We will find the equation of hyperbola.

Q: Let R be the region bounded by y = 2x, y = 2 and x = 0. Sketch the region R and evaluate the double…

A: Given: I=∫∫Rxy-1dA And  y=2x, y=2 and x=0   As we know that; ∬dA=∬dxdy or ∬dydx

Q: 1) (. B enclosed by the curves Find the exact area of the region y=x² and y=x+ 20. Write your answer…

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Q: The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its…

A: topic- application of derivatives

Q: 1) A continuous-time signal x(t) is shown in the figure below. Sketch and label carefully each of…

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Q: Find a vector-valued function whose graph is the indicated surface. The plane z = 4y r(u, v) =

A: Solution ) the plane      z = 4y   Let's make substitution  x =u , y = v  Hence  z = 4v   r ( u, v)…

Q: The gradient vector of g(x, y) = at (√√2,-1) is Vg(√2, -1) is equal to Select one: O True O False -

A: Given: The gradient vector of g(x,y)=x22-y22 at (2,1) is ∇g(2,1) is equal to <2,1>

Q: Let f(x, y) = 3x² + 2y² − 2xy — 1. Find the local maximum and minimum values and saddle points of f,…

A: Double integral, Maxima minima

Q: Consider the function f(x, y) = y ln x - x ln y - . a Find the directional derivative of f at the…

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Q: Hint: Analytical answer is required to be uploaded in Moodle 1. Consider the differential equation…

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Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x F(x, y) = -

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Q: The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the…

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Q: n 1 ² Σ (sec (2 + ²) - 2 (2 + ² +)) - nxn i=1 3. Express lim as a definite integral, f(a)da.

A: This is a integration problem

Q: Find f'(x). f(x)=(9-3x) 14 f'(x) =

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, on the…

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Q: A dietitian in a hospital is to arrange a special diet using three foods, L, M, and N. Each ounce of…

A: answer is in next step. please give a like !!

Q: The value of the integral Select one: b. None of these 5 4 d. / c. [ [²x² 7/2 x²y³ dx dy is:

A: This is a double integration problem

Q: Find f'(x) if f(x) = -7x5 +4√x. f'(x) =

A: To find derivative f'(x)

Q: The normal vector to the tangent plane for the surface xy² z³ 2 3 = -4, at the point (1, 2, -1) is:…

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Q: Question 1 1 a. [ Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) =…

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Q: Find the relative extrema of the function, if they exist. 3) f(x)= 3x4 + 16x3 + 24x2 + 32 4) f(x) =…

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Q: Let R be the region bounded by the curve y = 3√x and the line y = 3x. Then the double integral /…

A: Given problem:- Let R be the region bounded by the curve y = 3√x and the line y = 3x. Then the…

Q: The Integral fi fig(z,y) dyda can be written as: 21-9(x,y) dzdy Select one: O True O False

A: We can solve this as follows:

Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² - 9y + 2? Select one:…

A: We can find the answer as below.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: In evaluating 4 S²- 2dx -, is same as evaluating lim cos-¹(f(x))|4. Determine the value of of f(x)…

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Q: dt || y whent = 0, y =

A: Please refer to the image below

Q: Without using a calculator, for the following, find rectangular coordinates for the given point in…

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Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

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Q: Question 1 Consider the matrix A- - (a) (b = 64 -1 1 -1 0 3 -2 -2 2 1 Compute the adjoint matrix…

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Q: Evaluate the following iterated integral without technology. π/15 π/15 cos 0 s s II Sp² sin cos…

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Q: a) Determine if the geometric series 8n-1 90+1 n=1 is convergent or not, and find its sum if it is…

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Q: Is the following statement true or flase? Select one: True False 5 [ 2 (xy) dydx = chỉ xdx xdy) 0 0

A: To check whether the statement is true or not. Given information; The statement is ∫05∫02xydy…

Q: Find the relative extrema of the function and classify each as a maximum or minimum. -2)2/3 5) f(x)…

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Q: Assume that x = x(t) and y=y(t). Let y = x³ +5 and dt Find dt dy dt when x = 3. (Simplify your…

A: Here is the solution:

Q: t: It F is conservative, the integration may be F(x, y) = yi - xj (a) r₂(t) = ti + tj, ost≤1 (b)…

A: Follow the procedure given below.

Q: egral f x²+x+2 dx (x-1)(x²+5)

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Q: (2) = [ (t² − 1) dt (b) f(x) =

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Q: The equation of the tangent plane to the surface x2 at the point (-2, 1, 3) is Select one: +2y z-3…

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Q: Choose the value of the iterated double integral 1=₁6ydxdy. 0 0-2 O -1 0 1 I 02 O None of the others

A: This question is based on double integration.

Q: Which of the following is the directional derivative of f(x, y) = 2xy² - x³y at the point (1, 1) in…

A: Basic partial differentiation is used.

Q: s) Consider the integral dx. Answer ONE of the following two questions: (No simplification required)…

A: Here we have I=∫20324x2dx

Q: Is the equality true or false? Select one: True False 1 ST 8r sin 0 dr d0 = 0

A:

Q: 3) A) E B) [ Consider the homogeneous DE: y'"" + 2y" + y = 0 Verify that y = cos(x) is a solution of…

A: The given differential equation is;  y''''+2y''+y=0