Find the derivative of the following function. dy dx y: - 3 (4x5 + 5)² 1

Q: Determine whether the equation is exact. If it is, then solve it. (4x³y + 7) dx + (x-2) dy = 0…

A: Given differential equation is (4x3y+7)dx+(x4-2)dy=0

Q: A crew working with dynamite to clear a road blasted a large rock straight up into the air with an…

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Q: Solve for x. log₂ (8) + log₂ (x) = 14 X = (Separate answers by a comma.)

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Q: 3) Find Domain and Range of the function; 1 2x-5 f(x) =

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Q: A Let f be the continuous function defined on [-6, 6] whose graph consists of a quarter circle and…

A: Given: g be the function given by, g(x) = ∫-1x f(t) dt  To determine: (D) The absolute maximum value…

Q: 8 1² dt V 64 + 2

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Q: 2. Calculate 5(1+2x³) dx by using: S (a) Calculate in term of n the sum = f(x) 4x to approximate the…

A: Given : ∫051+2x3dx a) Let I = ∫051+2x3dx fx=1+2x3, h=5-0n=5n, a=0, b=5

Q: Given: z = x³ + xy¹, x = uv³ +w³, y=u+ve™ дz θω Find when u = —2, v = 2, w=0

A: Given query is to find indicated derivative.

Q: 5) Use mathematical induction to prove that Σ(2¹)=2+(n-1)2+¹ 7-1

A: Prove the equation

Q: Use the graph of the function below to find: a) Coordinates of its vertex (h,k)¸ b) Intercepts. c)…

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Q: Given the graph below, find the following: a. h(-1) = e. h(1) = i.h(3): 4 b. h(x) = f. h(x) = j.h(x)…

A: This is a problem related to step function. Please follow the procedure given below. As per Bartleby…

Q: Classify the equation as separable, linear, exact, or none of these. Note that it is possible for…

A: Given that , x34-3ydx+xdy=0

Q: Let f(x) = X Use logarithmic differentiation to determine the derivative. ƒ'(x) = ƒ'(1) = 8x

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Q: = 8 cos 7. A particle is moving along the x-axis with a velocity of v(t) x = 2 when t = 0. Find the…

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Q: 1 2 3 y = f(x) Letf be the continuous function defined on [-6, 6] whose graph consists of a quarter…

A: Given: gx=∫-1xftdt To find: g(-6) g-6=∫-1-6ftdt g-6=-∫-6-1ftdt   g-6=-∫-6-3ftdt  -∫-3-1f(t)dt…

Q: 2x² - 19x - 27 √ - (x + 1)²(x - 5) dx

A: Given: ∫2x2-19x-27x+12x-5dx

Q: [1 2 3] A = 4 5 306 [9 6 7 [14] B = 8 6 [62]

A: To compute the determinants of the matrices A and B. A=123450967B=148662

Q: Evaluate: 2-coscos x-coscos 2x

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Q: Find the antiderivative or integral of each of the following SHOW STEP BY STEP SOLUTION 1 xsech=x²dx…

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Q: Evaluate the integral. (Use C for the constant of integration.) [ (3 + ex)² dx et

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Q: Find the distance between the parallel planes 3x - 2y + 3x = -4 and -6x + 4y - 6z = 5. (Hint: It is…

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Q: Which angles are coterminal with an angle drawn in standard position measuring 172°? Select all…

A: Angle y is coterminal with the given angle x if the difference between x and y is non zero integral…

Q: 12) A ship travels 28 miles per hour for 2 hours at a bearing of N 30° E. It then changes course to…

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Q: If f(x) = 3 cos (4 ln(x)), find f'(x). Find f¹(3).

A: The function is given by fx = 3cos4lnx To determine: The expression of f'x and the value of f'3.

Q: Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and…

A: S=4πr2given  dSdt=-5 mm2s

Q: Determine the global extreme values of the function f(x, y) = x³ + x²y +9y² on x, y ≥ 0, x + y ≤ 2.

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Q: Find the volume of the parallelepiped determined by the vectors a = c = (2, 3, 1). (3, 2, 17

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x² - 5y² - 9z² where T is…

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Q: Let f(x) = 8x + 6-15e. Then the equation of the tangent line to the graph of f(x) at the point (0,…

A: Given query is to find the equation of the tangent.

Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f'(1). f'(1) = -16/17

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

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Q: 9. A ball is thrown across a playing field. Its path is given by the equation = −0.005x²+x+5, where…

A: A ball is thrown across a playing field. Its path is given by the equation y=-0.005x2+x+5, where x…

Q: of an object of mass m,

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Q: Find the area of the region between y = x¹/2 and y area = Submit answer 1/3 for 0 ≤ x ≤ 1.

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Q: e derivative of R(x)

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Q: Equilibrium Price: Cell Phones Worldwide annual sales of a certain product were approximately −6p…

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Q: 7. Use the definition of the limit of a function to show that if lim f(x) = a and lim g(x) = b, x→x0…

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Q: A piano manufacturer has a daily fixed cost of $1,700 and a marginal cost of $2,200 per piano. Find…

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Q: A golf ball manufacturer knows the cost associated with various hourly production levels, given…

A: Solution: We can find the equation using excel

Q: Use triple integrals to find the volume of the solid bounded by the surface y = x² and the planes…

A: See this solution in below.

Q: Find the error in the following work. Dx 2x+5 2 x-1 = || 11 (2x + 5)(2x) - (x² − 1)2 (x²-1)² 4x²…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: A student attempte Explain what went

A: Given limit limx→∞( 2x2 -3x - 22x3 + x2 -2x - 1  )

Q: 1. Find the Laplace transforms for the given f(t). (h) f(t) = 3 sinh At (i) f(t) = e-2t cos 3t (j)…

A: Question - 1. Find the Laplace transforms for the given f(t).

Q: Solve. 40 +33(5) X = 73 Round to 4 decimal places.

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Q: b. find as a function of x. dy dx 220. y= (3x-2)6 y = (3x² + 1)² 221. y=

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Q: Find the equation for the circle with a diameter whose endpoints are (3,16) and (5,- - 14).

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Q: So multiplicity of a zero,  is the power of the factor that gives that zero, in this case it is…

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Q: Find the area of the region enclosed by the curves  f (x)  =  7x + 3 and g(x)  =  5x + 21, and the…

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Q: Find the derivative of the function. f(0) = cos(0²)

A: To find the derivative of given function