Consider the function f(x)= x4-98x² + 11, and an absolute maximum value equal to -6

Q: Consider the function f(x) interval. = 1 on the interval [3, 9]. Find the average or mean slope of…

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Q: implied domain for the following function. x^(2)-4x=5x-6y

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Q: The graph of y = f(x) has f(5) = -3 and f'(5) = -3. Which of the following might be a graph of y =…

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Q: 3. Determine whether the series is convergent or divergent. State which test for convergence or…

A: SOLUTION: Given that ∑k=1∞ke-k2 Now we have to determine whether the series is convergent or not .…

Q: 1. Determine an equation of the line tangent to the curve y = 2x² at the point with x-coordinate-2.

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A: Given function is:fx=-0.001x2+4.2x-80We have to find the absolute extrema of the function.

Q: Find lim f(x) if, for all x > 1, x → 00 4 12ex - 24 4ex X 3√x √x-1

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Q: A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write…

A: given shaded region is between concentric circles with radius r=8 and r=10. So, it is better to use…

Q: Find the length of the curve (t) = (2 cos(3t), 2 sin(3t), 5t) for −8 ≤ t ≤ 8 Give your answer to two…

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Q: A volume is described as follows: 1. the base is the region bounded by y = 7 64 2. every cross…

A: The base is the region bounded by y=7−764x2 and y=0. And every cross section parallel to the x-axis…

Q: Find the arclength of y = 2x² - 5 on 0 ≤ x ≤ 1

A: Given: y=2x2-5 on 0≤x≤1 To find: Arc length.

Q: Find the area enclosed by one leaf of the rose r= 10 cos (30)

A: area enclosed by one leaf of the rose r = 10 cos (3thita)   Formula :- cos2(x) = [1+cos(2x)]/2

Q: A ball of radius 15 has a round hole of radius 9 drilled through its center. Find the volume of the…

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Q: ts, Consider the ellipse 4x² + 2xy + 2y² = 88. (a) The derivative on this curve is dx dy dx…

A: Given The equation of ellipse is 4x2+2xy+2y2=88   We are required to find a. dydxb. Equation of…

Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

Q: Suppose a product's revenue function is given by -8q² + 800q, where R(q) is in dollars and q is the…

A: The given revenue is Rq=-8q2+800q, where Rq is in dollars and q is the number of units sold. To find…

Q: у-х-2 (1-1) х-у

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Q: Determine the average rate of change of the function over the domain graphed. (-3,5). y (3,5) 41 2…

A: From the given graph  of the function f(x)   The function is defined for the interval [-3,3]   To…

Q: 26. Distinguish between average and instantaneous rate of change, use an answer. appropriate example…

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Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: Given: Limits include an arbitary real number, c.Find the limits limx→c+33(x-c)2 and limx→c-33(x-c)2

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: To find where the function is increasing or decreasing.

Q: A ship sails on a heading of 240° for 80 km. It then goes on a heading of 140° for 110 km. Determine…

A: To solve the problem, we can use the law of cosines, which relates the lengths of the sides of a…

Q: 1/9 A disease has hit a city. The percentage of the population infected t days after the disease…

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Q: Determine if the series O n=1 n cos (n) 3+n³ converges or diverges and choose the option that…

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Q: Find the derivative of the function. -7x³ - 6 6x² +7 f(x)=

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Q: Write an equation of the line containing the given point and parallel to the given line. Express…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 4y and y³ = x with y…

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Q: Find the equation of the tangent line T to the graph of f(x) = 8 sinx at the given point (6,8 sin…

A: given  f(x)=8sinx d dx(sinx)=cosxstandard form of quation is y-y1=m(x-x1)where m is slope m=f'(x)

Q: Find and classify the critical points of z= (a²-8x) (y² – 4y) Local maximums: Local minimums: Saddle…

A: The given function is;  z=(x2-8x) (y2-4y).

Q: Given f'(x) = -9 sin(3x) and f'(0) = 2 and f(0) = 5. ƒ(7) Find f =

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Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: For what values of p does the following series n=2 (Inn)p-2 n converge or diverge?

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Q: Find the distance from the point (7,1,-2) to the line ä(t) = (-5, 0, -2)t + (0, 3, 6). Calculator…

A: We have to find the distance between the point and line.

Q: 16. A limit exists if both the right-hand and left-hand limits are equal. 17. A jump discontinuity…

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Q: sin 5 (17x) dx = [

A: To evaluate : ∫sin517xdx Let I = ∫sin517xdx ⇒I =∫sin417xsin(17x) dx

Q: A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying…

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Q: The tangent to (2,4) on the graph of a function f(x) is y = 5x - 6. Evaluate f'(2). (a) 5 (b) 4 (c)…

A: We have given the equation of tangent line y=5x-6 of f(x) at point (2,4).

Q: Q13 Use the limit definition of the derivative to find the derivative of the following function:…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Use a differential to approximate. (Give your answer correct to 4 decimal places.) 4(3.98) (3.98)² +…

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Q: Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week…

A: Here is the solution:

Q: 3. Use the Gizmo to experiment with more functions of the form y = b*. Select the Show probe and…

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does…

Q: Find the derivative of the given function. f(x) = (2x² + 2)³(x² − 1)² f'(x) = 80x⁹ + 64x7 – 96x5 −…

A: The solution is shown below- As per company guidelines only first three parts are allowed to solve.…

Q: 3. Find the centroid (, y) of the region bounded by y = 2 cos(3x) and y = 2 sin(3x) from z = 0 to z…

A: Centroid is given by x¯=1A∫abxf1(x)-f2(x)dx and y¯=1A∫ab12f1(x)2-f2(x)2dx where A=∫abf1(x)-f2(x)dx

Q: Find the derivate of the functions: a) F(x) = -3x²=4 : f'(x) = b) g(v) = 3 g'(v) = 2√² +5V-9 c) f(x)…

A: We need to find out the derivatives of the given functions.

Q: Find the tangent plane to the equation z = -4x² + 3y² - 5y at the point (3, 2, -34)

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

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Q: Q9 Given g(2) = 3 and g'(2) = 5. Evaluate f'(2) where f(x) = 5g(x) (a) 15 (b) 0 (c) 25 (d) 10

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Q: determine if the mean value theorem can be applied to the function f (x)=x^2 on the closed interval…

A: we have given function f(x)=x2 which is continuous on the interval [3,9]. differentiation of this…