Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = -2x³ f(x)=

Q: Let L=21M³+64NO²+√✓MNO Find the total deferential Select one: O a. ((126 M^3 + (MNO)^0.5) / 2M)dM+…

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Σ( (-SI) The…

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Q: ind the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given: y=8x3,y=0,x=1 about x=2

Q: Find the vector w with magnitude 17 that lies in the direction opposite of v = (1, -2,3). Show all…

A: Given vector   v→=1, -2, 3

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation x…

A: The price p in dollars and the demand x for a particular clock are related by the equation…

Q: For which value of c, the limit lim f(x) exists? x→6 C = f(x) = 6x + c -4x+7 if x < 6 if x ≥ 6

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Q: The mean household income in the US in 2019 was about $89,930 and the standard deviation was about…

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Q: Which of the following equations is a linear differential equation? (choose all possible answer) A В…

A: The given differential equations are,

Q: The following graph shows the weight measurements of the average infant from the time of birth (t =…

A: To find the slop of the respective tangent line . To find the average rate change.

Q: Use any of these formula (an = 1/2 (a₁ + an) or an = /[2a₁ + (n − 1)d] to solve for the sum of the…

A: Given :an=n2a1+an an=n22a1+n-1d use Sn for sum1. Sum of first even counting numbers :2, 4, 6, 8.....…

Q: 1. Given the vectors u = and v = , calculate 2v − 4u and |ū + v|.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Given the curve r(t) = 4t (4) i + (4 cos(t)) j find the acceleration vector at t = ㅠ 3

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Q: Which of the following correctly gives the Cartesian form of the parametric equations x(t) = -2t - 5…

A: Here we have given two equations: x(t)=-2t-5        ...eq(1) y(t)=t+4   ...eq(2) From eq(1), we…

Q: 3. f(x) = -2 x+1

A: 3). The given function is: fx=-2x+1 And the expression for the derivative is: f'x=lim∆x→0fx+∆x-fx∆x…

Q: 16. The displacement, in feet, of an object is given by by s(t) = -2t² + 4 where t is measured in…

A: The displacement (in feet) is given by the function: s(t)=-2t2+4, where t is in seconds.

Q: lim »- oolv 9x²-21x+10 +3x + 3x)

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Q: 17)  Perform the following arithmetic operation: 62C16 / 12E16 = ____________

A: We have to calculate base 16 multiplication i.e. 62C16/12E16

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s²…

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Q: lim X>11 2 31 x² + 4 - 5 2x²-15x-77

A: We will evaluate the limit in the below steps.

Q: Rate of Change of Production Costs The daily total cost C(x) incurred by Trappee and Sons for…

A: The objective is to find the rate of change of total cost function.

Q: For the graph of y=f(x) shown to the right, find the absolute minimum and the absolute maximum over…

A: Topic- absolute minimum and absolute maximum points. the absolute maximum is the maximum value of…

Q: The equation (x² + y²) dx + (y²x + yx²) dy=0 is a differential equation with "homogeneous co A True

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Q: 1. Consider the ODE: (2x + 4y) + (4x − 2y + 1)y' = 0. Verify that the ODE is exact and then find its…

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Q: The solution of the differential equation 2xy = x² + 3y² with y(1) = 3 is dx

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Q: Let k (x, y) = e 4x cos (x+2y). Considering any value for (x, y) an element of the domain of k,…

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Q: The graphs of z = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

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Q: Consider the quadratic equation (2x-7)(x-6) = 18. When written in standard form, which of the…

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Q: Use the root test to determine whether the series converges or diverges. If the test is…

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Q: 3. Determine whether the following function y=c₁x + ₂x³ + 2x²e* - 2xe* is a solution to the…

A: We have to determine given function whether solution of given differential equation.

Q: 5. Y=√√4x+ 3

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: List down the elements of A = = {x|x²<45,x € Z} A) {0, 1, 2, 3, 4, 5, 6} B {-6, -5, -4, -3, -2, -1,…

A: The objective is to list down the elements of A.

Q: Find the profit function if cost and revenue are given by C(x)=173 +1.5x and R(x) = 7x-0.02x². The…

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Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

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Q: x² tan-¹(2x) dx

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Q: 3.1. How large should n be to guarantee that the Simpson's Rul approximation to fe-x² dx is accurate…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Determine whether the series converges using the Ratio test. The series IMB

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Q: Using f'(x) = instantaneous. rate of change Tim h→0. f(x+h)-f(x). h find f'(x) when f(x) = -4x² - 6x…

A: This question can be solved as per the concept given in the question

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√√x +

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Q: Suppose that the functions and g are defined for all real numbers as follows 16-3-1 g(x)-3x+1 Werte…

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Q: 11) ƒ(x)=x² + 4x² + 5x+2

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Q: N 1/2 + x ) d x Z

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Q: Find f(x) using the limit definition of the derivative. 3.r x+l f(x)=-

A: The given function is f(x)=3xx+1 We have to find the derivative of f(x)

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) lim. 5x 3 t-> sin(t) t

A: The limit is  limt→5π3sintt To evaluate: The value of the limit.

Q: dy The solution of the differential equation 2xy dx = x² + 3y² with y(1) = 3 is dx

A: Topic = Differential equation

Q: Let: g = 3+√7f Find:f Select one: O a. O b. O c. O d. 12f² √/5h+5h √/Tf 10fh 12f²√7h+5h√7 10fh…

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Q: O-9.00 -3.00 -3.00k O-3.00 +5.00 -9.00k O-4.00 +3.00-1.00k 2.00 -9.00-2.00k O-5.00 +2.00 -6.00k

A: We will find the required.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: The given function is fx=2x2 and the tangent line parallel to the line 2x-y+5=0 we have to find the…