Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dy dx (Type an integer or a simplified fraction.) 11 to find dy dx at the point (1,-1).

Q: 7. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

A: Given

Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

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Q: The function f() = -3x* + 8x – 6x² has two critical points, c1 and c2. Find and classify them. f(x)…

A: Given function is f(x) = -3x4 + 8x3 -6x2 It has two critical points namely c1 and c2 .

Q: Find the (x-coordinate of the) inflection point of f(x) = x³ – 3x? + 5x – 4

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Q: -7x - 2y=-13 x-2y 11

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Q: 3x Evaluate x² +¹+e³ª)dx.

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Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

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Q: Evaluate the integral: –(9z²+7x) dr %3D (1-1)(z+1)²

A: Given :∫-(9x2+7x)(x-1)(x+1)2dx

Q: -5x+ y=-3 3x-8y 24

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Q: Find the differential dy: y = sin(x√³). Ody = COS cos (T√²³) [2√T™- 2 O 0 O (E) None of these…

A: A detailed solution is given below.

Q: 15 Find the area f the surface generated by revolving x= 4√/1-y, 0sys. about the y-axis. 16 The area…

A: The given problem is solved below in detail.

Q: S dx x² √√x²-1²

A: Follow the procedure given below.

Q: I > | − 4 • xª + 5ª

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

Q: 5. Find the area of the region enclosed by the parabolas y = x² and y = 2x -x². 2 3 sorun oyng…

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Q: Find the exact value. (a) sin( (b) arctan (-) (c) arccos (cos())

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Q: Let f(x) = (lnx)7 f’(x) = ƒ' (e¹) =

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Q: f cos √2x dx

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Q: - Given cost and price (demand) functions C(q) = 100q + 45,300 and p(q) = 2q +900, what profit can…

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Q: Find all the second order partial derivatives of g(x,y) = x+y+ 3 sin (y) + 4y cos (x). a²g n

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Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

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Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: Let f(x) = 3 ln(sin(x)) f''(x) =

A: topic- double derivative of a function

Q: Find the derivative. f(x) = eº · 3x f’(x) =

A: topic- derivative of a function

Q: Below is the graph of y=x. Transform it to make it the graph of y=-x-4-2.

A: a) y=-x-4-2b) y=-2x-4

Q: Solve each of the following problems completely. Draw the complete figures for each question. 2.…

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Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x8*.…

A: To find the exact x- coordinate.

Q: Find all the second-order partial derivatives of the following function. f(x,y) = x³y²-x² + y² 2 ax…

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Q: 2) For f(x, y, z) = xe²yz. (a) Find the gradient of f.

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given query is to find the function.

Q: Given cost and price (demand) functions C(q) = 130q+47,500 and p(q) = -2.8q +820, how many items…

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Q: Given cost and revenue functions and C(q) = 115q + 31000 and R(q) = -3q² +2500q, how many items must…

A: Let's find how many items must be the company produce and sell to break down.

Q: Consider the second-order differential equation + 25y = 4.5 sin(8t). d²y dt² Find the Particular…

A: The given problem is solved below in detail.

Q: Graph of f (10,-4) The function f(t) is defined on the interval [0,10]. The graph of f(t) consisting…

A: Solved below.

Q: 3. A box sitting on a wagon pulled a distance of 27m by a 35N force applied at an angle of 40° to…

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Q: 00 The power series for the exponential function centered at 0 is ex = Σ k=0 convergence for the…

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Q: Find the area of the surface obtained by rotating the curve y=1+3x² from x = 0 to x = 9 about the…

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Q: Evaluate 2* |cos(z) — 1| dr. -

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Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 4₁ x3 = 7, x4 = 10, and Ax= 3. 4 (a) Find Σ f(x;) Δx. i=1 (b) The…

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Q: Use the method of adding y-coordinates to graph the function. f(x) = sin (x) + sin (2x) Choose the…

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Q: he function f(x) = xe" has one critical point. Find and classify it. (x) has v at the critical point…

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Q: The function f(x) = −2x³+3x²+36x has two critical points, c₁ and c₂. Find them and use the second…

A: We need to find and classify critical points.

Q: 87元 6 2 23 4元 3 ✈0 江 11元 6

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Q: Find f, f, f. fx= f(x,y,z)=x-√√√²+z² (Type an exact answer, using radicals as needed.)

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Q: Solve the triangle. a=8, b=13, c = 16 A≈ B≈ C≈ (Round to one decimal place as needed.) (Round to one…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: 9. Consider the region in Figure A. Its area may be found using flf(x) - g(x)]dx. The function g(x)…

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Q: Answer the question in the space provided and in full details. . Answer in complete sentences, with…

A: The triangle law of the addition of vectors states that two vectors can be added together by placing…

Q: Life Expectancy of a Female Suppose that in a certain country the life expectancy at birth of a…

A: In order to get g(t) integration need to be done.

Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

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Q: Graph the damped vibration curve for 0 ≤t≤. -t/ (5) d(t) = e cos (2t) Choose the correct graph of…

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Q: What is the slope of the curve when x = 2 radians? * y = 4 cos(x) + sin(2x) -2.21 -4.94 -3.25 2.21

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