Let h(x) = 2x² 9-x²

Q: Find the compound amount if principal is 7250, compounded quarterly for 13 years and the nominal…

A: Given, principal is 7250.Compound quarterly for 13 years.Interest rate is 4.75%Formula of compound…

Q: 35. y = w² sin w+ 2w cos w 2 sin w 36. y = -x³ cos x + 3x² sin x + 6x cos x − 6 sin x 37. y = 38. y…

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Q: A sample of radioactive material disintegrates from 5 to 4 grams in 200 days. After how many days…

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Q: Evaluate the limit analytically (without tables or graphs), using techniques that have been shown to…

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Q: A company sells a product for $82 each. The variable costs are $30 per unit and fixed costs are…

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Q: The graph below is the function f(x) 5 4 3 02 OF -5 -4 -3 -2 -1 -1 -2 -3 -4 --5 -I--x Find lim f(x)…

A: Find the limit of the given questions.

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) -6 (a) lim f(x) =…

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Q: Evaluate the limit analytically (without tables or graphs), using techniques that have been shown to…

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Q: 7. 2 2 lim (√x² + ax - √√x² + bx

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Q: Suppose a water tank is to be constructed by rotating the parabola y = ² about the y-axis from x=0…

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Q: Determine the interval(s) on which the following function is continuous. Then analyze the given…

A: f(x)=3ex1−e5x

Q: S. dx 2 √x²+4x+13

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Q: Refer to the graph of y = g(x) shown to the right. Find the domain of g. 10 8 641 10- co DEE do do +…

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Q: Using: lim f(x) = 4 and lim g(x) = 8, evaluate 71 Limit= Enter DNE if the limit does not exist. lim…

A: Limx-7f(x)=4Limx-7g(x)=8Find Limx-7[f(x)+g(x)]/7f(x).

Q: Find d²y dx² 6 y = √x

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Q: For the function g whose graph is given, state the following. (If the limit is infinite, enter '' or…

A: The given graph

Q: CSC 6. lim ecScx x0+

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Q: Plot the point whose polar coordinates are -3, 6 options to change the snapping functionality of the…

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Q: Consider the curve C parametrized by x = t and y = (36 - t2)1/2 for -6 ≤ t ≤ 6 Write an equation…

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Q: A particle moves on a straight line with velocity function  v(t) = sin ?t cos2?t.  Find its…

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Q: Find the distance from the point (0,0,−9) to the line x = t, y = - 3t, and z = t. The distance is…

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Q: (a) Find another angle between 0° and 360° that has the same cosine as 255º. (That is, find 0…

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Q: √-x Consider the function, ƒ(x)={ 3-x (x-3)² x 3

A: f(x)={−xx<03−x0≤x<3(x−3)2x>3

Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first the…

Q: (3) Let R(x) = 31-4 (c) Evaluate the function when x = : -6, -5, -4.5, -3, -0.5, 1.5, 4, 6;

A: Given Function R( x )

Q: √x³+9y³ 5x +COS (+)

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Q: -5 -4 -2 -1 5- 4 3 2 1 -2 -3 4 com. 3 4 5

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Q: 5. Consider the function f(x) = = 5a) 5b) 2x+1 2x-1 Determine the simplified first derivative and…

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Q: Find the limit: √x-9 lim x 81 x 81 -

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Q: 44. YA 1 0 46. ि t 0 x X

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Q: 4x Find the coordinate of the point of maximum curvature (call it xo) on the curve y 3e and find =…

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Q: 2b) f(x) = 2x²-1 4 2c) h(x) = (2x − 1)4(4x − 3)³ 2d) h(x) = (x²+1)² (2x²-3)²

A: Differentiate the function

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: Find a possible formula for the trigonometric function graphed below. Use x as the independent…

A: We have to find a possible formula for the trigonometric function graphed below.Use x as the…

Q: y= 3x-2 2x+3 y"=0

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Q: Suppose f(x) is defined as shown below. a. Use the continuity checklist to show that f is not…

A: F(x)=  x^2+4x, x>1           3x,x>_1

Q: Consider the following parametric equations. a) Find 4 unique points on the parametric curve. Enter…

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Q: x=a a = -3 a=-1 1. Complete the table. Is f continuous at x = a? ГУЛ 1 0 1 AR X If it is not, which…

A: We have to check continuity of the given graph at a= -3 and -1

Q: Find the area A enclosed by the curve r = 4 + sin(40)

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Q: Find the equation for the plane through the points Po(3, -4,2), Qo(-5,0,− 3), and Rō (0, – 4, — 5).…

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Q: Question 1 Find the derivative of y=sin(3x² - 4x + 1). dy dx dy dx dy dx dx = - (6x-4) cos(3x² -…

A: The function is y=sin(3x2−4x+1)aim is to find the derivative of the given sin function

Q: Use the limit comparison test to determine if the series converges. n³ +7 n(n+4)(n-3)(n+ 5) n=1 O…

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Q: Use the following function and its graph to answer (a) through (d) below. 6-X, X4. Let f(x)= Ay 10+…

A: if x>4 if x<4

Q: The graph of y= −5r — 9 52+2 (enter the equation of the horizontal asymptote) has a horizontal…

A: The asymptote defines a line which will never meet the curve of the function.A horizontal asymptote…

Q: Suppose $10,000 is invested in an account at an annual interest rate of 0.6%, compounded…

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Q: Find the difference quotient of f; that is, find f(x) = 3x² - 4x + 2 f(x+h)-f(x) h h‡0, for the…

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Q: In X x→∞ 1 + ln 3x 10. lim

A: Given that            .Since, we know that

Q: Find the angle between the vectors. u= √√2i - 3j, v=√√2i+j-3k The angle between the vectors is 0 =…

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Q: A circular oil slick is expanding with radius, rin feet, at time t in hours given byr = 12t - 0.3t²,…

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Q: Rewrite the following Cartesian equation as a polar equation using the variables r and 0. To input…

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