Where is the function decreasing? * (-1,3) (-2,1) (0,1) O (*-1) O (*, *) O (-1, ) O (-*, 3)

Q: dx V3+2x-x2 10.

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Q: Find the equation of the tangent line and the normal line of the following curves at the given point…

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Q: %3D Find the maximum value of the function f(x) =x° - 9x2 + 15x - 5. Answer: Find the value of x for…

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Q: Find dy and simplify whenever possible. dx 1. y = arcsin + 4-x2 2. y = In(e¯* + xe¯*) sin x cos x…

A: To find derivative of given function.

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 +2. %3D Answer:

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2x

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. 1 y…

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Q: Which of the following is equivalent to cos 0-2 cos 0 sine 1-sin 0+sin²0-cos²0° tan 0 cot 0 O Option…

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Q: Find the general solution of (x+2y-4)dx-(2x+5-y)dy = 0

A: The given differential equation is  (x+2y-4)dx-(2x+5-y)dy=0

Q: Consider the following. x = 4 sin(80), y = 4 cos(80), 0sos (a) Eliminate the parameter to find a…

A: Solution: x=4 sin (8θ)y=4 cos(8θ)  ,     0≤θ≤π4 Let 8θ =t  So,   0≤θ≤π4 multiplying by 80≤8θ≤8π4…

Q: Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O…

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Q: Find the value of x for which the value of the function f(x) = x +3x2 - 2 is minimum? %3D Answer:…

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Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

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Q: Given f(x, y) = 6x?y then the total differential df = %3D 12аy dx + 6x? dy O 2xy dx + x² dy O None…

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Q: V3x+10 - 4 Evaluate lim x+ 2- x2- 4x + 4

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Q: hFind the gradient of the function at the given point. W = x tan(y + z), (19, 4, –1) Vw(19, 4, –1) =

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: 11x +625 The average cost for a company to produce x units of a product is given by the function…

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Q: Find the value of x for which the value of the function f(x) = x + 3x2 - 2 is minimum? Answer.

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Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

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Q: 'ind the exact length of the curve x = t sint y = t cos t or 0<t< 1. ou may use the following result…

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Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the maximum value of the function f(x) = x3-9x2 + 15x- 5. Answer.

A: The objective is to find the maximum value of the function.

Q: Find dy. y = vx + 10 dy = (Simplify your answer.)

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Q: The length of a rectangle is two-fifths of the radius of a circle. The radius of the circle is equal…

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Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. J (21+8)…

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Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: Consider z1 = 1 - j2 and z2 = -2 + j3. What is the result of squaring the sum 5z1 and 3z2? -j2 O -1…

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Q: EXACT VALUE OF C IN INTERVALS QUESTIONS (such that f(c) = fave) A. 3x2+2x - 4, [-2, 4]  B. 5cos(x)…

A: As per our guidelines we are supposed to answer 3 sub-parts , kindly repost the remaining part as…

Q: Note: you will need to find both the gener e homogeneous problem, and a particular so mogeneous…

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Q: ( cos³x dx sin*x 9.

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Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

A: Let's find.

Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

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Q: Which of the following is a value of tan 0 if V3cos 0 - sin 0 = v2? -V3 + 2 V2 + 3 O Option 1 O…

A: Given  3 cos θ - sin θ = 2 We have to find the value of tan θ.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point. f(x, y) =…

Q: V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

A: We have to find limit

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

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Q: vo Variables 4)dr + (2r. (2. 4x)dı

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Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy Solve the differential equation. Choose your…

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Q: %3D What is the slope of the function y = 3x² + 5x – 7 at (-1,-

A: Given query is to find the slope of the function.

Q: 3dt 1. (2t+8) Vt+1

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Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at -: Que f(x) = 3 sin(x) Que a) Find the…

A: We have to find Taylor polynomial

Q: Find the slope of the line passing through the points (-1, 3) and (-8, 3). slope: | Find the slope…

A: Solution ) slope  m = (y2 - y1)/( x2 - x1) 1) point ( -1 , 3 ) , ( -8 , 3 ) slope m = ( 3 - 3 )/( -…

Q: (b) If a > b and c > 0, then ac > bc.

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Q: J6x²e?x^3+1 dx = 3e?x^3+1 + C Select one: O True O False

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Q: Find dy and simplify whenever possible. dx secx+tan x 1. у %3 sec x-tan x - 2. y = e-* cos e¯* – sin…

A: 1. y=secx+tanxsecx-tanx2. y=e-x cose-x-sine-x3. y=arctanx-1+x2

Q: Several statements about a differentiable, invertible function f(r) and its inverse f-(z) are…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Use the cylindrical shell method to calculate the approximate volume of the solid formed by rotating…

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