Find the derivative of: Type your answer without negative exponents. Simplify completely. 25x 3 -30x7+48x5 - 12 6x² x X

Q: A spherical balloon is being inflated. Find the rate of increase of the surface area S with respect…

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Q: 2. We found a solution y-sinx for the following differential equation. y"+y=0 a. Use Reduction of…

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Q: g(x) = ln (xe³x)

A: According to Bartleby guide line we only do first part. Please re post other part in next…

Q: Use the properties of inequalities to solve the inequality. Write the solution set using set-builder…

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Q: Find the volume of the region under the surface z = xy² and above the area bounded by x = y² and x +…

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Q: q(x)=−9x3 −9x2 −6x+6 Is the graph of q(x) concave up or down at the point with x-coordinate 1?

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Q: Prove the statement using the ε, δ definition of a limit. lim x->2 (x^2-1)=3

A: =3

Q: f(x) = 3x²/3-x on [0,27]

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. √13n an =…

A: To determine whether the sequence  converge or diverge.To find the limit if the sequence is…

Q: Add the following complex numbers. (−5+19i)+(3−3i) Give your answer in complex standard form a+bi

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Q: Utt = √ √ √ 21 3 (2 + 4 cos (0)) do 2

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Q: Use the FOIL method to find the indicated product. (9x - 72) (3x - 7z)

A: By using the FOIL method to find the following product.

Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [-2, 1] by…

A: The given curve is The graph given is

Q: Given the function f(x) = x²e³x, Use the derivatives to determine the open interval(s) where the…

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Q: Consider the function f(x) = 2x³ − 6x² - 18x + 9 on the interval [-2, 4]. What is the absolute…

A: f(x)=2x3−6x2−18x+9

Q: (a) Isolate h. V = { Tr² x

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Q: 5x+500 A garden shop determines the demand function q = D(x) = 20x +9 the number of plants sold per…

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Q: Question 3.32) A population of chipmunks moves into a new region at time t = 0. After years, the…

A: The population of chipmunks after t years is given by,Here the constant term is 100 so the initial…

Q: Jo sin(y²) dA, where D is the region bounded by D y = 2x, y = 2, x = 0. Evaluate

A: The D is the region is The figure of region D

Q: 4. Se 1+e 2x 5. fe²x sin 3xdx

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Q: 2x + 1 < 5

A: 2x+1&lt;5

Q: Question 3.34) A helicopter gets into difficulty at time t= 0. Its altitude (in meters) is given by…

A: 3.34 ) D The altitude is given by

Q: Determine the axis of symmetry of the graph of the following parabola. f(x)=5^x2+190x+19

A: To determine the axis of symmetry of the graph of the following parabola.

Q: 2t - e -2t Let h(t) Find the horizontal asymptote(s) of h(t) if they exist. If h(t) has no…

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Q: Let A be a 2 x 3 matrix and T: R³ → R² be the linear mapping T (7) = A 7. 2 (6) - A) ¹ (1) - ()-[²]…

A: Consider the linear transformation

Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

A: Given,

Q: 2. Isolate x. For answer, show X on left side x 2 3X-6 ≥ 2x + ] 1 داده 2x > 2x + 7 3 2x > 6x + 21…

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Q: Determine the y-intercept of the parabola whose graph is given below. -7-6-5-4-3- 2 -f 7 7 7 7 i i 5…

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Q: Determine the vertex of the parabola whose graph is given below. MMM 6 5 4 S 2 -7-6-5-4-3-2-1, 1 2 3…

A: The graph of the parabola is To determine: The vertex of the parabola.

Q: same 3. Graph lines I and k line l: 2x + 4 = 0 line k; 2x + 5y = -15 (+ show at least 3…

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Q: Evaluate 3 [[x³y dy dar. Please show 0 decimal places. your answer to 4

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Q: Differentiate y = 11x4 +3

A: given to find

Q: The velocity of a particle moving along a line is a function of time given by 79 t² + 12t + 27 v(t)…

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Q: Find the point where the tangent line to y = 5x² at x = 0.7 crosses the x-axis. x-intercept =

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Q: Find the differential dy. y = ex/5 1_5x dy || Evaluate dy for x = 0 and dx = 0.01 dy = 0.002

A: Consider the function

Q: Compute X, quadrant bounded by the circle x² + y² = 16, the line y = = -x, and y = 0. x dA, where D…

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Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

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Q: Question 3.31) A) Compute f'(x), f"(x) and f"(x) for f(x)=sin(x). B) Let g(x)=√√9+4x². Evaluate…

A: Take derivative.Take the second derivative.Take the third derivative.

Q: You will find the directional derivative of z(x, y) = 5 sin (4 x y), in the direction (3,-3) at the…

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Q: 1. Let g(x) = ln ((f(x))² + x). Determine g'(5) if f(5) = 2 and f'(5) = 3.

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Q: If f(x) = 7√x(x³ - 5√x+6), find f'(x). 7_x³ +21x²-70² + 2/1 3 2√x Find f'(5). X

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Q: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

A: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

Q: Given that f(x) = x³h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1). -20 Hint: Use the product rule and the…

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Q: Consider the following. Find its foci. Find an equation of the ellipse. x-2)² + (-2)² 12 smaller…

A: Consider the following. To find the equation of the ellipse.To find the foci of the ellipse.

Q: Find d37 -(sin x). dx37 Derivative:

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use…

A: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.1 cm.By using…

Q: Find the following using the table below. X 1 23 4 f(x) 4 32 2 1 ƒ'(x) || 2 1 4 3 g(x) 34 1 2 g'(x)…

A: we are given the table of functions and their derivative at certain values, we need to find out the…

Q: Solve the equation. 3q 9-4 - 1 9-3 1 The solution set is 2q² -5q 2 q-7q+12 3 16 ±0 0.0.. (0) {}

A: Given

Q: p(x) = a + ax + a,x² + ... + 10x?

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Q: Which of the following is/are signified by lim f(x) = ∞? x→a The limit exists and equals infinity.…

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