- 3 7 X 2+x² dx

Q: If f(3) 9 and f'(x) ≥ 2 for 3≤ x ≤ 8, how small can f(8) possibly be? f(8) ≥

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Q: The surface area of one side of a cube was measured to be 441 square cm. There is possible error of…

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Q: Let f(x) = 4x + 3x². Compute the difference quotient f(x+h)-f(x) h and simplify it so that it has…

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Q: A toy company is trying to determine the optimal price for their weekly supply to meet the demand…

A: The objective of this question is to determine whether there will be a shortage or surplus of toys…

Q: Describe the given region in polar coordinates, such that 0≤r and 0≤0 ≤ 2. C 1 2√3 ✔ The lower…

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Q: Let g(x) = xe-4x (a) Evaluate the following derivatives of g(x). (0) g'(x) = (ii) g"(x) = (iii)…

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Q: Find all critical values for f(x) = (x+2)³(x + 10)6. The critical values occur at x = commas) .…

A: To find all critical values for .

Q: 08 n=1 (-1) 凯

A: Consider the series

Q: Grandparents plan to open an account on their grandchild's birthday and contribute each month until…

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Q: Suppose that the position functions of two particles, P₁ and P₂ in motion along the same line are 1…

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Q: Simplify the expression completely. /−1 - 4√−125 + √64 +2√9

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Q: Please assist with the steps to solve to problem below.   Calculate the area, in square units,…

A: The area A between the curves f(x) and g(x) in the interval [a,b] is given by

Q: Let y = 3x2 + 3x + 4. If Δz = 0.1 at x = 5, use linear approximation to estimate Ay Δy ~

A: we have given

Q: Suppose it is know that the function f(x) = has a maximum value of 2 attained at x = 6. Can you…

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Q: Evaluate the iterated integral. 1-z² 4 [²6² 0 0 28zey dx dz dy √₁-₂² (14e²-14) 2 V1- Z ×

A: In triple integrals if the limit of the integral are not related then we treat all else variables as…

Q: For the given function find the average rate of change over each specified interval f(x) = x² + x -…

A: The given function  is function is The average rate of change of function f(x) over the interval  is…

Q: (226) A child wanders slowly down a graikaer staircase from the top of a tower with x, y, z in feet…

A: Given position equation

Q: 7. a) What two positive real numbers whose product is 50 have the smallest possible sum?

A: we are given the product of two numbers and we need to find out the two positive real numbers whose…

Q: Experiment 3:  3A.  Slide the large circle on the parabola so the small circle on the x-axis is at x…

A: The objective of the question is to understand the relationship between a function and its…

Q: A researcher in physiology has decided that a good mathematical model for the number of impulses…

A: A researcher in physiology has decided that a good mathematical model for the number of impulses…

Q: The p-test says that: • if p 1 then the series ● 8T8 T8 T * * * * * * Select an answer Select an…

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Q: Find the approximations Tn Mn and S, for n = 6 and 12. Then compute the corresponding errors E, EM…

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Q: The yield of marketable corn Y (in kilograms) from a fixed field size varies according to the amount…

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Q: Convert the point from cylindrical coordinates to spherical coordinates. (4,2,0) =([ (p, 0, 4) =

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Q: The growth of plants in a greenhouse depends on the intensity of the lighting (as controlled by an…

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Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: Let y = 5x². Find the change in y, i.e., Ay, when x = 1 and Ax = 0.3 Find the differential dy when x…

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Q: Suppose the supply of x units of a certain product at price p dollars per unit is given by p = 10 +…

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Q: Please elaborate in hand written form, For better understanding. thanks

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Q: Find ƒ'(−1) if 4x( f(x))² + 4x³ƒ(x) = 0 and ƒ(−1) = −1. ƒ'(−1) =

A: we need to find out the f'(-1).

Q: If 8 is the angle between a line through the origin and the positive x-axis then the area (cm²) of…

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Q: What is the future value if $9000 is invested for 9 years at 12% compounded semiannually $ Need…

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Q: Let f(x) = 2logs(r) ƒ'(x) = f'(7) =

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Q: believe the correct answer for concave upward is (-inf, -1) U (1, inf)

A: In this question, we will find concave upward and downward.

Q: If F(x) = f* √1+5 dt, what is F' (2)?

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Q: (c) This graph is a rose curve (d) π/2 π/2 2 3 4 5 6 7 8 I with equation 0

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Q: For the function W= dw = - -8t ³ - 7t, express its differential, dw, as a function of t and at:

A: The function is given byTo determine: The expression of  as a function of  and .Formula Used :

Q: Calculate the tangent plane for the function f(x, y) = (xy+1) sin(x+y) at the point (0, 0). Using…

A: The given function equation is

Q: Convert the point from spherical coordinates to rectangular coordinates. 4 (6,7) ₁ ²) = (L (x, y,…

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Q: The sum of two non-negative numbers X and Y is 15. Determine the values of X and Y that minimize the…

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Q: · y− 4y+4y=10 e²x

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Q: For her 1st birthday, Ruth's grandparents invested $1300 in 18-year certificate for her that pays 8%…

A: For her 1st birthday, Ruth's grandparents invested $1300 in an 18-year certificatefor her that pays…

Q: Suppose that the area, A, and the radius, r, of a circle are changing with respect to time and…

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Q: Determine the number of points y 4 2 grap.

A: An inflection point is a point on a curve or graph where the curve changes its direction from being…

Q: Consider the following. p(q) = 2q² + q +5 (a) Find the instantaneous rate of change of the function…

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Q: Let f(x) = 5x2 - 4x. (a) Find the instantaneous rate of change of f(x) at x = -1. (b) Find the slope…

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Q: Use a linear approximation (or differentials) to estimate the given number. (Round your answer to…

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Q: Sand falls from a hopper at a rate of 0.5 cubic meters per hour and forms a conical pile beneath.…

A: Volume of a cone is given as Where r is the radius of cone h is the height of the cone

Q: The radius of a circular disk is given as 19 cm with a maximum error in measurement of 0.2 cm. (a)…

A: Given data regarding the question Area of circular disk whose radius is r is given as

Q: At the indicated point for the function, find the following. (Round your answers to the nearest…

A: The slope of the tangent line to the given curve is equal to the derivative of the function at the…