Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

Q: 19. The solution of the differential equation cos (2) dx - sin (²) + COS (²)]dy = 0 is A. y sec ² =…

A: Only one question is solved. Solving more than one question is solved in the policy of bartleby.

Q: 1. Find the rate of y with respect to x at the point (1,8) if 7y² - xy³ = 4. dy dx

A: Given: 7y2-xy3=4 and Px,y=1,8   As we know that; The Power Law: ddxxn=nxn-1 The Product rule:…

Q: Find two numbers whose sum is "a", if the product of one to the square of the other is to be a…

A: sum of two numbers is 'a', the product of one to the square of the other is to be maximum

Q: Certain pieces of antique furniture increased very rapidly in price in the 1970s and 1980s. For…

A: Find the rate, in dollars per year, at which the price is increasing.

Q: 300 150 Find lim f(t) and t-4- lim f(t) = t-4- lim f(t) = t-4+ 4 lim f(t). t-4+ mg mg 8 12 16 t

A: Follow next step

Q: The midpoint of AB is at (0, 0). If A = (-5, 4), find B. B is: (

A: Given :A=-5, 4Mid Point of AB=0,0

Q: 7- (a) If a is a constant and cannot be equal to 0, find the critical points of f(x) = 3a + 6x (b)…

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Q: dx (4x²-9)3/2 17.f

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Q: Find  f(t). ℒ−1{1/(s - 7)3}

A: The inverse laplace tranform L-11s-73

Q: Determine whic 3. The expression log 29+ log 28 + log 27 + log 26 +log 25 - 2 log 5 can be written…

A: We can find the answer as below.

Q: f5(x³ + x)⁹ (3x² + 1)dx O 5(x³+x) ¹0+C 10 (x²³+x) ¹0 10 +C O 45(x³ + x) +C O(x³ + x)¹0+C

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Q: The volume generated by revolving the first-quadrant area bounded by the parabola y2 = 8x and the…

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Q: On your own, verify that the indicated expression is an implicit solution of the given first-order…

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Q: 2- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = C

A: Given problem:- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = 0

Q: xdx √2x-1

A: This question is related to indefinite integration, we will solve it using given information.

Q: Determine two numbers whose sum is 36 and whose product is the largest possible. 20 and 16 15 and 21…

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Q: a. [8t7dt dx b. S sin x tanx C. d. S [ 26* dx 3d8 √8

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Q: If f(x) = x³ +1.5x² - 90x + 16, find analytically all values of a for which f'(x) = 0. (Enter your…

A: This question can be solved using the concept of differentiation.

Q: 3. Evaluate III. 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

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Q: Solve cos(x) = - 0.38 on 0 < x < 2π

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

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Q: An analysis of the daily output of a factory assembly line shows that about 50t+t²- 1 tunits are…

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Q: Given the function f(x)= = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x) h…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (t+ At)² -4 (t+At)…

A: Follow next step

Q: Determine whether the differential equation (7x² − 2xy + 2) dx + (8y² − x² + 7) dy = 0 s exact. If…

A: Topic:- differential equations

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: Explanation of the answer is as follows

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

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Q: differentiate y = In (x2-1/x2+4)2

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Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

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Q: Solve the equation |2x - 3| = 0 Rewrite |2x - 3| using the definition of absolute v

A: Topic:- algebra

Q: Q2/ Use the method of bisection to find the roots of the equation x3x² - 4x + 1 = 0 Correct to 3…

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Q: The volume generated by revolving about the y-axis the area bounded = 0 and y = 16. by the curve y =…

A: Volume is evaluated.

Q: A spherical balloon is inflated with gas at a rate of 800 cubic centimeters per minute. (a) Find the…

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Q: = f(x,y) = x² Determine whether the function z = (why or why not) +y + y² for for (x, y) = (0,0) (x,…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: f(x) = 8x7 4 f(x) = X5

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Q: Q3) Use the integration method, and find the centroid of the shaded area in terms of a and b. y y =…

A: Concept: Centroid : The centroid is the object's central point. The centroid of a triangle is the…

Q: Find the integral for positive integers m, n sin mx cos nx dx -T

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Let A(0, -2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2. m(PB) (2) Convert the…

A: This question can be solved using the concept of distance formula.

Q: Find y': y = ez² + 3x² + e²e Oy = e + 3x ln x + e²ex Oy' = e + 3x²-1 Oy = e + 3x² In a Oy = e +…

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Q: Find the derivative of h(x) = Provide your answer below: h'(x) = tant attribution 2 ;)? 2x -3x - 4

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 2? x+10 for 2≤x≤2 f(x) =…

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Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A: To find out the levels of x and y which will maximizes the utility.

Q: What function do you know from calculus is such that its first derivative is itself? (Do not use the…

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Q: Evaluate the indefinite integral. dx x(ln (x))6 (Express numbers in exact form. Use symbolic…

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Q: What is the exponential growth rate change of an investment that has a b=1.92?

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Q: lim (SC - S(T)) where f(x) = -x²+x+6 f(7+h)-f(7) h h→0

A: f(x)=-x2+x+6= limh→0 f(7+h)-f(7)h limh→0 -(7+h)2+(7+h)+6-[-72+7+6]h limh→0…

Q: For the following integral, reverse the order of integration and evaluate the integral. 1/8 1/2 S S…

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Q: Differentiate the function with respect to the independer X f(x) = +e5x + e 2 e (x) = 0

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