A ball sits on the point (1,1) and touches the f(x,y)=5-(x^2+y^2). In which direction graph of will the ball roll? Explain

Q: Find the general solution of the differential equation. dy/dx = 2x^2/y+1      (y > 0) Leave your…

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Q: Σ 2-In(n) n = 1

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Q: Use the second derivative test to find the location of all local extrema in the interval (0, 2π) for…

A: Here we have to find the local extrema.

Q: Find the general solution of the differential equation. y(4) + 2y″ + y = 3 + cos(4t). NOTE: Use C₁,…

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Q: Question Use the first derivative test to find the location of all local extrema in the interval…

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Q: 9. (True/False) If f(x,y) is a continuous function on a closed, but unbounded set D, then f(x,y)…

A: False     because there are some functions which are continuous on a closed, but unbounded set,…

Q: Solve the following ODES by Inverse Operator method. 2X -X • (D²³+1) y = 3 + 2*² + 5 € Ans : y = C₁…

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Q: FL Find the cross product u x where = 7i+8j +4k and 7 = (5,- 9, 2). u xv= Question Help: Video…

A: To find u×v use the following formula

Q: find the vertical asymptotes of the graph of the function f(x)=ln(x+3)

A: x=a is said to be a vertical asymptote of a function y=f(x) iff as x tends to a f(x) tends to ∞ or…

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Q: Tutorial Exercise Find the slope and y-Intercept (if possible) of the line. 11x - 12y = 60 Step 1…

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Q: Find parametric equations (not unique) for the following circle and give an interval for the…

A: Here we have to find the parametric equation of the required circle

Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

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Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: This question can be solved using the concept of maxima and minima.

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Q: Graph the conic section. Identify the vertices, foci, directrices, and asymptotes. Use a graphing…

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Q: Given P(x) 3x55x² - 4x³ – 8x² 64x + 48, and that 2i is a zero, write P in factored form (as a…

A: NOTE: Refresh your page if you can't see any equations. . the given root is  so another root must…

Q: f(x) = In (x) + In (25-x²), (0,5)

A: 1st derivative test

Q: find an equation of the circle that satisfies the given conditions radius=3 and center (2,-4)

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Q: Determine the partial fraction decomposition for the following expression 7x²17x +38 (x + 6) (x −…

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Q: Approximate the value of y2(2) using the method of successive approximation for the given…

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Q: 2. 3 6x - 12 is divisible by 3x 4. There is no remainder. Find the value of 9. Show all your work. -…

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Q: Problem 1.5 Use the following graph of y = f(x) to graph each function g. (a) g(x) = f(x) – 1 (b)…

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Q: Write the following expression as a single summation. ΤΗΣΗΣ 7· Σ (k2 + 8) + 9· Σ (2 - 1) = Σ k = 1 k…

A: Note :- These are multiple questions and according to our comapny guideline we can do maximum 1…

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Q: Let V be a vector space over a field F and let w, x, y, z ∈ V. Show that w + (x + (y + z)) = ((w +…

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Q: 3. Calculate (6x² − 6x³ + 5x² using synthetic division. — 12x + 1) ÷ (x + 2)

A: To do the synthetic division

Q: 리 +81²+16= 0

A: Given equation is λ4 + 8λ2 + 16 =0  , we have to solve it .

Q: (a) Graph the function f(x)=-=x+4, -3 < x≤6 3 (b) Graph the inverse function of f(x) on the same…

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Q: Problem 1. L(x) = In 1.05 Find the linear approximation of f(x)= In x at x = 1 and use it to…

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Q: Radar Detectors Radar detectors are either powered by their own battery or plug into the cigarette…

A: We have to find the no. Of ways of given questions.

Q: Find the arc length of the following curve on the given interval. x=24t+8, y = 7t+3, 0≤t≤2 The…

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Q: Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of…

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Q: A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic…

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Q: In each of the problems, apply the method of reduction of order to find a second solution of the…

A: We have to solve given Questions.

Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

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Q: 2. Provide an example of two different rational functions so that: f(x) represents a rational…

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Q: Find a polynomich of Jegree 4 with Zeros x = 1₁ x=2, and x=i.

A: Given polynomial has zeros x=1, x=2 and x=i. Therefore (x-1) ,(x-2) and (x-i) is factor of…

Q: 3. Find the solution of the differential equation. 4y’’-4y’-3y=0 theme: repeated roots; order…

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Q: Determine the intervals in which solutions are sure to exist. t(t2)y(4) + e'y" + 9t²y = 0 Enter the…

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Q: Solve the following ODES by Inverse Operator method An- (D²-2D +1) y = xe sinx Anse y tết xếể…

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Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: According to our calculation in the example, we have 옭(10 Sure enough, this is a bit greater than…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Use properties of power series, substitution, and factoring of constants to find the first four…

A: Given the function 1+6x-2The taylor series,1+x-2=1-2x+3x2-4x3+...... for -1&lt;x&lt;1

Q: F(s) = 1 3s-5

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Q: Convert the point (x, y, z) = (-4, 1, 2) to spherical coordinates. Give answers as positive values…

A: Given ' (x, y, z) =(-4,1,2).

Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² t² + b' S(t) =…

A: NOTE: Refresh your page if you can't see any equations. . here we have a=87, b=56 take t=10

Q: Find the exponential function f(x) = ax whose graph is given. 1x f(x) = ب | دن -3 -2 N WebAssign…

A: Here we have to find the function.

Q: E Homework: Section 5.2 Homework Assignment • 1 f(x)dx=2₁] Suppose f(x)dx=2, | f(x)dx = 3, and and 2…

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