Determine the interval in which the function is decreasing for y=2x^3-9x^2-24x-10 without graphin. please include an explaination

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Q: 1. Karen is a hobby farmer from near Toowoomba in Southern Queens- land. She sells the lettuce she…

A: Topic- Functions and application of derivatives

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Q: 9. (a) f(2) (b) f(1) 10. (a) f(-4) (1) f(-1) (c) (2) [y = f(x)] میر -2+ (b) f(0) (0) (4) v=fn

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A: Recall: Sum of angles of triangle is 180 degrees.

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Q: The vector [6, j, 1] is perpendicular to the vector [-5, 2, 3]. What is the value of j? 06 O None of…

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A: Topic:- application of integration

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Q: 56. 1 dx V1+9x2

A: Given, ∫dx1+9x2

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Q: Q2: lim +01+stnx x²-16 đêm 5 t (B) 00 (C)-8 is discontinuous at: (A) x 1 (B) x = 4 (C) x-1 and x=4…

A: The objective of the question is determine the discontinuity and choose the correct option.

Q: Find the indefinite integral. | 15 7 19 – 14 d t8 - dt

A: We have to solve the integral

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A: solution ) ∫ ( t - t2 3 +t35 ) dt = ∫ ( t1/2 - t2/3 + t3/5 ) dt  we know that  ∫xn = xn+1/n+1  = (…

Q: 43) B Find tan 0. 5 8 4 A

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Q: 8 S 1 Inxdr a. 0 b. 1 C. -1 ||

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Q: I. Find dy/dx of the following: 4. y=√1+In²x 7. y In- COS X √4-3x² 5. y = sin²(In x) 8. y In, x- 6.…

A: Topic - Derivative of a function Power rule: ddxxn=nxn-1ddxln(x)=1x

Q: Q1: lim Q2: lim (x-1)(x-2) x+1 x-001+stnx Q3: f(x) = x²-16 đêm 5244 A) 3 (A) B) 00 (B) 00 18 (C)-8…

A: We need to find limit.

Q: Find the area of the region bounded by the graphs of the equations. y = 7x² + 3, x=0, x=2, y = 0

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Q: Suppose that a population grows according to the unlimited growth model described by the…

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Q: Given the ODE: dy dt - --(t-1) cos(y). 4(0)-3 Estimate y(1) using midpoint method, h=0.5. Present…

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Q: Find a vertical line x = k that divides the area enclosed by x = square root of y , x = 2 , and y =…

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Q: dv/du = (u - v)² -2(u - v) - 2.

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Q: 70. S tan-1 x dx 1+x²

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Q: Given f(x)=e²x, determine the value of f(¹¹) (11th derivative)

A: Given  f(x) = e2x. We have to determine the value of  f11.

Q: A. x(1 + y²) ź dx = y(1 + x²) z dy dy B. = x + y dx C. dx E. F. Which of the following are separable…

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Q: Evaluate 14 26 -7 2³ +8 z² dz. Round your answer to two decimal places. £¹₁4 z6 − 7 x³ +8 r² dz=…

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Q: Solve (2y³ – x³) dx + 3xy² dy=0; y(1) = 1 a. x² (5y³ + x³) = 4 y? (5y3 — r3) =0 x² (5y³ x ³) = 4 O…

A: Given that, the differential equation is 2y3-x3dx+3xy2dy=0.…

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Q: Solve the following ODE. y' = 2y + x x

A: Here, the given DE is: y'=2y+xx⇒y'=2xy+1⇒y'-2xy=1 Comparing it with y'+Py=Q where P & Q are…

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - 00. n -£ (+ + -)…

A: The given sum is limn→∞∑i=1n4+in8n use the Riemann integral formula, limn→∞1n∑i=1nfin=∫01f(x)dx use…

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A: Topic- inverse trigonometric functions

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A: increasing interval where slope increading

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Q: Use the law of sines to solve the triangle, if possible. B = 40°, C = 29°, b = 30 a = O A = (Do not…

A: The triangle has the measures B=40°, C=29°, b=30 Law of sines: sinAa=sinBb=sinCc

Q: Relevant Relationship: There is a functional relationship between Price of an IPod Touch,p and…

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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: the formula ng pore Jim Parkin/Shutterstock.com H = 0.05t + 3.2. Here t is the number of years since…

A: Please see the below picture for detailed solution.

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A: Topic:- application of integration

Q: Find the Riemann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where x₁ = 0, x₁ = 1,…

A: The given function fx=x2+3x over the interval 0,8 with x0=0, x1=1, x2=3, x3=7 and x4=8 Riemann sum:…

Q: The area of the région bounded by the curves f(x) = x² + 1 and g(x) = 2x + 1 is best described by:…

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Q: Which of the ff is a valid double integral? -2x [*f* xy dy dx b. f*f* xy dx dy a. C. -2x ** 1²* xy…

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Q: The direction vector of the equation below is : c=−2+3t y = 3+2t O [3, -2] O [3, 2] O [2, 3] O 1-2,…

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