Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.). √1+h 1 h lim h→0

Q: Change from rectangular to spherical coordinates. (a) (0, -√3, 1) (p.0.0) =(√10 (6) (4.4, 4√6)…

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Q: 30. lim X→18 4x - 3 25x² + 4x

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Q: a. Set up an integral for the area of the surface generated by revolving the given curve about the…

A: Given:  xy=7, 4≤y≤6; y‐axis To Find:  (a) To set up an integral for the area of the surface…

Q: uppose the amount of caffeine (in mg) in a person's body t hours after consuming it is C(t)= 16…

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Q: You are riding a rollercoaster in an amusement park that reaches a maximum height of 25 m and a…

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Q: 3 Find the area of the surface generated by revolving the curve x = 2 0 ≤ y ≤3, about the y-axis.

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Q: Solve equation on the interval 0 ≤ 0 < 2π. (Enter your answers as a comma-separated list.) 32 cos² 0…

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Q: 9-h² 2. lim h 3 h 3

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Q: Find the standard equation of the parabola which satisfies the given conditions. vertex (7,11),…

A: Given:- vertex7,11 and focus 16,11

Q: Let P=(1,2,3), N=, obtain the symmetric equation of the line that passes through point P and has the…

A: Topic - Equation of a line We are given that a line passe sthrough P=(1,2,3)and direction vector is…

Q: Energy is needed to transport a substance from outside a living cell to inside the cell. This energy…

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Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

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Q: Solve the following system of linear equations by using the inverse matrix method. x + 2y -z = -4…

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Q: Sketch a graph of J(x) where J(X, 10 -9 -8 -7 -6 -5 -4 -3 1 -2 -1 10+ 9 8 7 6 5 4 3 2 + -1 -3 -4 -5…

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Q: Consider the points P(-1, 1, 0), Q(2, -1,2), and R(1, 1, 3). Show your work for the compu- tations…

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Q: The vector v = ai + bj is perpendicular to the line ax + by = c. Use this fact to find an equation…

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Q: Part C Ajar of crunchy peanut butter contains 1.69 kg of peanut butter. If you use 8.9 % of the…

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Q: -1. -2 -3 3 4 5 6 Make it continuous. 7 (1) Change the graph (by dragging one of the movable points)…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: Determine the following: a. S 1 √2x²+8x+9 dx

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Q: If lim R(x) = 7 and lim c(x) = 2, find the following. X-3 X-3 lim_C(x) = lim X-3 X-3 C(x) X

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Q: (a) Evaluate F(-2) (b) Evaluate lim F(x) For parts (c)-(e) please read the graph of f(x) (c)…

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Q: Implicit

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Q: Find the x-values (if any) at which is not continuous. If there are any discontinuities, determine…

A: Topic - Continuity and discontinuity We are given that f(x)=9x

Q: Let f(x) = 2x² + 9x +9 3x² + 20x + 25 This function has: 1) A y intercept at the point 2) x…

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Q: Find the area of the region lying to the right of x = y² + 13y + 19 and to the left of x = 5y + 7.…

A: Given equations of the curve x = y2 + 13y + 19 x = 5y + 7

Q: 4. lim_ x² (1 - e¹/²) using l'hopital

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Q: QUESTION 1: f(x)=ax2+bx+c Suppose you don't know the exact values of a, b, and c, but you…

A: given  f(x)=ax2+bx+cgiven a,b,c&gt;0∂xn∂x=nxn-1∂ ∂x(constant)=0

Q: In Exercises 7-16, evaluate the limit. X x → ∞ x + 9 7. lim 8. lim x →∞ 3x² + 20x x →∞ 2x² + 3x³ -…

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Q: Solve the initial value problem below using the method of Laplace transforms. y" - 3y' - 10y = 0,…

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Q: Find the area of the shaded region. f(x) = -x³ + x² + 16x 3) g(x) = 4x (-3,-12) 30+ 20 10- -20- -30-…

A: Given curves equations:- fx=-x3+x2+16x , gx=4x

Q: Consider the following. power X 1 2 3 4 5 4.4721 6 4.8990 Find the equation of the function of the…

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Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the…

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Q: Use numerical evidence to evaluate lim I 0 I +1 .1 1.01 1.001 f(x) Type in oo for ∞ or type in -oo…

A: We are required to evaluate limx→02x2

Q: Find the horizontal and vertical asymptotes of the curve. 5x2 + x − 8 x² + x - 12 хх> X || || || X =…

A: Given: y=5x2+x-8x2+x-12   As we know that, To calculate the vertical asymptotes, equate the…

Q: y = f(x) 10 Answer: 2947654321 6 -9-8-7-6-5-4-3-2-₁ ISPRS 7 -8 -9 -10 Evaluate: g(f(9)) 1 2 3 4 5 6…

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Q: Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t) = 95…

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Q: 6. For f(x)= x², write the linear approximation at a = 1 and estimate f(1.05).

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Q: 3. Using limits, find an equation of the line tangent to the function g(x): = 4 4 at x = -2.

A: By using limits, to find an equation of the line tangent to the function gx=4x2 at x=-2.

Q: Find a curve that passes through the point (1,-6) and has an arc length on the interval [2.6] given…

A: given passes through (1,-6) given arc lenth is ∫261+400x-6dx

Q: which of the following functions results if f(x)=log10x is vertically stretched by a factor of 4,…

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Q: Consider the following equations. f(y) = y(6 - y) g(y) = -y

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Q: What are the abbreviations for a milliliter, a megameter, and a centigram, respectively? Enter the…

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Q: 1. Find the domain of the function f(x) = x² x + 4 - 17x + 66

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Q: QUESTION 3. h(x,y)=2xy+3x2+4x3y2+8 What is the value of ∂h(x,y)∂y when x = -2.6 and y =…

A: h(x,y)=2xy+3x2+4x3y2+8when x=-2.6  and y=0.8∂xn∂x=nxn-1∂constant∂x=0

Q: An inverted cone of top radius 5ft and depth of 6ft is continuously being filled with water at a…

A: An inverted cone of top radius 5 ft and depth of 6 ft is continuously being filled with water at a…

Q: Disposable income is the amount left after taxes have been paid and is one measure of the health of…

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Q: Compute the derivative of the vector-valued function. r(t) = et i + 5et j + k

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Q: In Exercises 17-24, find the horizontal asymptotes. 17. f(x) = 18. f(x): = 19. f(x) = 20. f(x) = 2x²…

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Q: The equation r(t) = (4t+9) i+ (5t² − 1) j + (3t) k is the position of a particle in space at time t.…

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