If y = (3x)4*, then dy dx (Be sure to express your answer in terms of x) =

Q: Evaluate the following expression. (x ≠ πn, where n is a whole number)   3/sinx - 3/cscx

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Q: USE INTEGRATING FACTORS 1. Find the General Solution: Answer is already given. 4. (y + 1) dx +…

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Q: We are given f(x) = 3x2 and f '(x) = 6x. (a) Find the instantaneous rate of change of f(x) at x=4.…

A: Given, f(x)=

Q: Let f(x) = pit -1-7x Then f'(x) = Write the equation of the tangent line to f(x) at x = 0:

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Q: An object travels with velocity function given by v (t) = 3t + 5. The next three questions refer to…

A: Given that an object travels with a velocity function given by

Q: identify whether it's a VSDE (Variable Separable DE), HDE (Homogenous DE), or EDE (Exact DE). 1. [2y…

A: To determine whether it's a VSDE (Variable Separable DE), HDE (Homogeneous DE), or EDE (Exact…

Q: Find all solutions of the following equation in the interval [0, 2π).    sin^3x=sinx

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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 solution of above question is written below.side of cube=30cmpossible error in measurement…

Q: Determine the derivative of the following function. f(x) = (x⁹ +5)8 f'(x) =

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Q: A function f is defined below. Use geometric formulas to find f(x) √2, - X, = 4 frª FCX 6² x < 2 x ≥…

A: We have given,    Integrate f(x) dx from 0 to 4.    f(x)= 2 when x &lt; 2    f(x) = x when x&gt;=2 .

Q: Given the curve y = 2x - 5x + 3, find the slope of the secant lines between x = -2 and each of the…

A: Given the curve , to find the slope of the secant line between  and each  of the x-value in the…

Q: Find the volume of liquid filled in a sphere of radius R to height h. R h

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Q: Use the method for solving equations of the form =G(ax + by) to solve the following differential…

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Q: Determine the following limits: (a) 42³-19z²+12z lim x 0 7x³-23x2-20x Number (b) 423-192²+12x lim x…

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Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t.…

A: The given position vectors (A) (B) (C)

Q: A fence is to be built to enclose a rectangular area of 310 square feet. The fence along three sides…

A: Let x be the length of the rectangle and y be the width of the rectangle.The area of the rectangle…

Q: Find the average value of the function over the given interval and all values of x in the interval…

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Q: Consider the function f(x) = 23. Which of the following functions are equal to f(x)? Select all that…

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Q: dy If √√x + √y = 10 and the point (1,81) is on the curve, find |x=1 by implicit differentiation. dx…

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Q: Determine the derivative of the function k(x) = x6ï with respect to X. Ay

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Q: Write the quadratic function in standard form. f(x) = 2x² - x + 1 f(x) = Sketch its graph. -10…

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Q: Write the following in standard form and explain your work. 9y² + 11x² + 132x +297 = 0

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Q: (f) The equations of the asymptotes (in increasing order). (c) I (a) 2 (d) N (f)x= y = (b) -2 (e) N…

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Q: Consider the function y = 2e4. Which of the following statements is true for y? O y'=y Oy = /v O…

A: given,

Q: Find the derivatives of the following. 1. f(x) = 4x³ + 5x² - 7x 2. h(x) = 2x4+7x x² 3. y=x2/3 +…

A: According to the guidelines, if a question contains more than 3 subparts than we have to solve only…

Q: Find the derivatives of the following. 1. f(x) = 4x³ + 5x² - 7x 2. h(x) = 2x4+7x x² 3. y=x2/3+2x5/4…

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Q: How many of the following functions have a derivative of zero? A. y = √8 D.y = 12- G.y=0 x 16 B.y =…

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Q: USE FACTORS I. Find the General Solution: Answer is already given. INTEGRATING 11. (y cos²x) dx +…

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Q: An object travels with velocity function given by v (t) = 3t + 5. The next three questions refer to…

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Q: b) x+2 4 x-2 6 = 2x-1 3

A: Given,

Q: The function y(t) = 4e³t - 2e5t is a solution (but not the general solution) to y" + py' + qy = 0.…

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Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 19. 2y dx = (x² -…

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Q: The total cost (in dollars) to produce q units of a good is given by the function: C(q) = 4.9q +…

A: Given, C(q)=4.9q+41000

Q: Please take turns to work on the following questions: 1. Let f(x, y) = x² + 3xy + y² Compute (a) af…

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Q: What is the gradient of f(x,y,z) = x^2 + y-3z^3

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Q: Classify the discontinuity in the following function. f(x) = 10x68 68 5x 52 – 28 if x 6 о The…

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Q: B 4. z (x, y) is defined implicitly by the relation z²x - 2yz +xy² = 4. Find za, zy and Zaz in terms…

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Q: · 2 * 2 of -2 2 $ The graph above shows the base of an object. Compute the exact value of the volume…

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Q: a 10 foot ladder rests against a vertical wall. if the bottom of the ladder slides away from the…

A: Let the horizontal distance of foot of ladder from the wall be x and vertical distance from top of…

Q: An object is thrown upward on Saturn with an initial velocity of 17 m/s. Its height in metres after…

A: An object is thrown upward on Saturn with an initial velocity of 17 m/s. Its height in meters after…

Q: 7. Find the following derivatives. a) In(x² + 1) dx c) y = 4log3 (x²) b) E = 25,000.101.5M d) Use…

A: Find the derivative.

Q: Determine the derivative of the following function. f'(x) = f(x) = (x7 +19)7

A: Given,

Q: Find y prime y = (5x3 + 9)(2x7 - 3)

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Q: Use the given values to evaluate (if possible) three trigonometric functions cos x, csc x, tan x.…

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Q: Use any method to evaluate the integral. 6 dx S (9x² + 1)² 6 dx (9x² +1) 2

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Q: Consider the functions z = ex In y, x= In (u cos v), and y= u sin v. dz əz (a) Express ди (b)…

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Q: Let f(x) = 2x - 1 3x + 2 a. Find the domain of the function. b. Find the y-intercepts, if any. c.…

A: By the answering guidelines of Bartleby, we can answer only first three subparts, plesase post other…

Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 17. x(x² + 1)y' + 2y…

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Q: Use partial fractions to find the inverse Laplace transform of the following function. s²-5s s4…

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Q: A manufacturer of lighting fixtures has daily production costs of C = 800 - 50x+ 0.25x2, where C is…

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