If y³ = 4 + x² and dy dt -1, then find dx dt when (x, y) = (2, 2).

Q: Find the limit. (If the limit is infinite, enter '' or '-', as appropriate. If the limit does not…

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Q: ·S. -14 x²√x² +9 Evaluate the integral: -da (A) Which trig substitution is correct for this…

A: To evaluate the integral: ∫-14x2x2+9 dx (A) To determine the correct trigonometric substitution for…

Q: If v x = (-5, 2, -3) and vw = 4, find tan(0), where is the angle between 7 and w. tan (0) =

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 3 + 4y², 1 ≤…

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Q: A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking south…

A: answer is given below  this is question of calculus  here application of differentiation is given…

Q: bike company produces bikes. The company has a cost function of C(q) = 2(q + 10)² + In(q² + 16),…

A: Given query is to find marginal cost.

Q: Find the value of f'(1) when 1 f(x) = 2(x² +8)¹/² + ¹ 1. f'(1) 3 2. f'(1) = -3 3. f'(1) = -1 4.…

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Q: You have answered 2 out of 3 parts correctly. The position of a body moving along the s-axis is…

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Q: Ab a d CD X

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Q: Find the surface area of revolution about the x-axis of y = 6x + 4 over the interval 0 ≤ x ≤ 3.

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Q: Write the form of the partial fraction decomposition of each rational expression. Do not solve for…

A: Note: Since the student has mentioned to solve parts (b), (c), and (d), so we are  solving…

Q: Given the complex numbers (see image) express the result of z1/z2 in rectangular form

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Q: At what points on the given curve x = 4t³, y = 5 + 24t - 14t² does the tangent line have slope 1?…

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Q: Air Purification During testing of a certain brand of air purifier, the amount of smoke remaining…

A: During testing of a certain brand of air purifier, the amount of smoke remaining  (as a percent of…

Q: [s sin6y.cos²3y dy

A: To evaluate the given integral

Q: Find the equation of the tangent line to the graph of the function at the indicated point f(x)=x^2-1…

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Q: The population of a certain state​ (in thousands) from 1995 ​(tequals ​0) to 2005 ​(tequals ​10) is…

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Q: f(x)= x³-4x² + 3x +1 find increasing intervals? O (-00, 0.45) only O (2.22, ∞0) only O (-00, 0.45),…

A: According to question,Given Function,fx = x3-4x2+3x+1

Q: If the radius r of a circle is decreasing at the rate of 5 cm per minute, find the rate of change of…

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Q: Find the derivative of the function using the Chain Rule. 6 GGx) = (y-2)² (y² +4y)* 2

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Q: Check whether each of the following functions is a solution of the differential equation 3y + 5y =…

A: Follow the procedure given below.

Q: Find the general solution of the differential equation. Then, use the initial condition to find the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the general solution of the given differential equation. Assume x and y are positive. dy dx =…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: - y = cos-¹ t-1 - sec-¹ t

A: Given query is to find derivative.

Q: The charcoal from a tree killed in the volcanic eruption that formed a crater contained 31.5% of the…

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Q: 3. FILLING A COFFEE POT—A coffee pot in the form of a circular cylinder of radius 4 inches is being…

A: Introduction: A surface, which is generated by a line that intersects a fixed circle and is…

Q: 4. Find the derivatives of the following. Simplify only by canceling common factors and combining…

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Q: Evaluate the integral. rπ/2 5 + 9 cot(x) dx Jπ/4 9-5 cot(x)

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Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: хожуу (2, я Я y 2 = 4 х sin х

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Q: Consider the triangle with vertices A(2,3,5), B(-1, 4,4) and C(-2, -1,6). Use vector multiplication…

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Q: Solve the differential equation by regarding y as the independent variable rather than x. (2x +…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be…

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Q: Convert the rectangular coordinates to polar coordinates where r>0 and 0 ≤ 0 < 2π (2, -2√3) O (4, 5)…

A: To convert rectangular to polar coordinates.

Q: Find an equation of the plane. The plane through the point (3, 0, 4) and perpendicular to the line x…

A: The equation of line which is perpendicular to the plane is given as x=7t, y=3-t and z=5+6t. So, a=…

Q: 18.

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

Q: Consider the following function. f(x) = (x-3)3 (a) Find the intervals where the function f is…

A: According to question,Given Function,fx = x-33

Q: (I) The directional derivative Duf(a, b) is parallel to the vector u. (II) If u is perpendicular to…

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Q: It is estimated that t years from now the population of a city will be P(t) = 10(70+ 3t)² - 1700t.…

A: We need to find rate of change in population.

Q: The graph of f is given. State the numbers at which f is not differentiable. (Enter your answers as…

A: Given:

Q: If you know that: f(3) = 17 and So then: foo 0. f'(0) do = f(x) dx = −4

A: We will find the required.

Q: Given that lim f(x) = 4 X-2 lim_ [g(x)]³ X-2 lim F(x) X-2 find each limit, if it exists. (If an…

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Q: Find the derivative of the function. f(0) = cos(0²) f'(0) = -sin (0²) X

A: Given: f(θ)=cos(θ2)

Q: Solve the initial value problem. (6ye³xx - 5)dx- dx + 6xe6xy 5x + dy = 0, y(2) = 1 The solution is…

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Q: Find d²w dz² w=z²e² d²w dz² for the given function. n example Get more help. < Question 8, 2.2.3 14…

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Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(4r-s, s2 - 9r). Use the table of…

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Q: 1 + 1

A: Given 1+1

Q: ?w Əv у Find when u = 0, v=0 if w=x² + ₁ x=6u-2v + 1₁ y=u+4v - 1.

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Q: Let f and g be the functions in the table below. g(x) 2 3 X 1 2 3 f(x) 3 1 2 1 (a) If F(x) =…

A: NOTE: Refresh your page if you can't see any equations. . the first function is  take derivative