11. -log/2x+3

Q: The farmer knows that the area of the rectangular enclosure must be at least 400 square meters. This…

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Q: Write Sk 1.13+2 14+3•15+...+ Write SK+1- (Type your answer in factored form.) 1.13+2+14+3•15++=…

A: To evaluate:  ------------------------------------------------------------------------------- Basic…

Q: 11- Iraqi's population grows at an annual rate of 3%. The population in 2022 is 40 M. What is the…

A: Given query is to find the population in 2030.

Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: If f(2)= 5 and f'(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥ Need Help? Read It…

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Q: Find the limit (if it exists). lim f(x), where f(x)= x+1- [x³ +2₁ x < 1 x+2, x ≥ 1

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Q: Differentiate the function. V'(t) = V(t) = t-3/5 + +t²

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Q: Given the following data, calculate b, of the quadratic New difference polynomial: f(x)=0 f(x₁) =…

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Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

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Q: 6x. Using the formal limit definition of the derivative, prove that 3x² =

A: Using the formal limit definition of the derivative  we have to prove that derivative of 3x^2 is 6x.…

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

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Q: Solve the equation: 3*²-5x x = 3 x = 5 and x = -5 O x = -5 x = 3 and x = -5 || 27.

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Q: Use Calculus to find the behavior of g. g(x) = x³ - 3x²is restricted to the interval.x € [-1,4] 19.…

A: Note: Since, the student has mentioned to solve question no. (21), so we are solving according to…

Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions For example, suppose we…

A: Minimum value= -pi/2  Maximum value = pi/2  For detail...go through the solution

Q: The inverse Laplace transform of A. e³t (3 cos(5 t) + 5 sin(5 t)) C. e-3t (3 cos(5 t) + 25 sin(3 t))…

A: we want to find L-1 [ 3s + 34s2 + 6s + 34 ]

Q: If f(x)= f'(x) = = tan z sec x -4

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Q: 44. Simplify: cos 40° cos 30° + sin 40° sin 30° 45. Simplify: cos 50° cos 20° + sin 50° sin 20⁰

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Q: 5) Given f(2) = 3, f'(2) = | of H(x) = f'(x), thun H'(3) squale, 새ㅎ B) ㅎ 엊 미ㅊ E) |

A: Given query is to find Indicated derivative.

Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

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Q: Suppose that a rectangular box has a volume of 18 cubic meters and is being expanded in such a way…

A: Given: A rectangular box has a volume of 18 m3 and is being expanded in such a way that its length…

Q: dx + 7) Evaluate Sexy² vertices (0, 0), (2, 2) and (2,0) 2x²ydy where C is the triangle with

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Q: 4 Suppose that f(x, y) = 2x² + 2y¹ − 1xy Then the minimum is

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Q: Find the area of the region between the curves y = ³ and y = 20x - x². Area between curves =

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Q: 9. What is the slope of the normal to a. -3 y = x²-1 x+5 at (1, 0)? Show your work. C.

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Q: You are attempting to evaluate the integral What trig substitution would you use to simplify this…

A: Given the integral is ∫9x2-9x dx

Q: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

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Q: Use mathematical induction to prove that the statement is true for every positive integer n. n(n +…

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Q: The general solution of y" + 6y +10y = 39 cos(t) is y=e-³t [C, cos(t) + C, sin(t)] + 2t cos(t) + 3t…

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Q: Find the derivative of the function. y' = x cos - x cos-¹(x) y = √1-x² 1- x² -

A: Given that y=1-x2-xcos-1(x)

Q: 7. Let f be a function defined for all real numbers x and for all real such that f'(x) < 0 and f"(x)…

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Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

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Q: Question 1: Find an explicit formula for the geometric sequence with a₁ = 10 and a4 = 80. a_n=…

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Q: Differentiate the function. f'(x) = f(x) = x7³ − x + 8

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Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: Find a general solution to the given equation for t<0. 3 y"(t)- y'(t) + y(t) = 0 ² 29 The general…

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Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

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Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = y=0, x= 0…

A: To find:- Volume of solid genrated by curves y=43x+3,x=0,y=0,x=3 about x axis

Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

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

Q: Find the general solution of the homogeneous differential equation (D³+2D²+D+2)y=0

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Q: 4. Determine the derivative dx of a. dy 4(34*) In 4 dx 4(3¹) In 3 b. dy y = 34* dy dx . Show your…

A: Explanation of the answer is as follows

Q: 4) Evaluate 2 √x√x² +1 dx

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Q: Express the following limit as a definite integral. n 1 lim Σ -Ax where P is a partition of [2,4]…

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Q: 6. Given that (a) sin csc x=3, 90° <x<180° find X 3+2√2 6 ×IN Answer: sin- 2

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Q: Evaluate the integral 4x3 x² +1 - dx.

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Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

A: Let's find consumer surplus and producer surplus.

Q: Use graphs to evaluate 2π S 0 sin x dx and 2π So 0 cos x dx.

A: The given integrals ∫02πsinx dx and ∫02πcosx dx. We have to find the value of the integrals using…

Q: •24-x2 신 0 0 -4-y 0 x dzdydx

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Q: If (2,-5) is a point on the graph of f(x), which of the following points MUST be on the graph of…

A: Given that point (2,-5) is a point on the graph of f(x).