Find d²y dx² y = 4x + 9 d²y 2 dx || ㅁ

Q: Consider an object moving along a line with the given velocity v and initial position. v(t)=2 sin 4t…

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Q: If f(x) = 7x²-13x+5 what is f(x+h)-f(x) h

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Q: 1. Evaluate the integrals by using the integration by parts. (b) f(lnx)³ dx (a) [x² cos x dx (c) S x…

A: Here we need to use Integration by parts for those integration solutions.

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A: Given a velocity function v(t) in the time interval [a,b]

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Q: Find the area of the region enclosed by the curves y = x - 1 and the parabola y² = = 2x + 6.

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Q: (a) By graphing the function F(X) = (cos of lim f(x). x →0 (b) Check your answer in part (a) by…

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Q: 77) 4 options to change the snapping functionality of the point. Y Plot the point whose polar…

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Q: lim _9+x x² (x - 6) 4

A: L=limx→6−x2(x−6)4

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A: Given: To Find: To evaluate the following:

Q: Consider the curve parametrized by x = : 1 + ln(t) and y = t³ + 4t. dy a) First eliminate the…

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Q: For what numbers c are 4ci – 3j and 5ci + 2j a) parallel? b) orthogonal?

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Q: Consider the vectors à = (5,3,7), b = (2, −3,4), and c = (1,2, -3). What is the area of the…

A: given vectors

Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

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Q: Consider the following. x = e4t y = t + 11 (a) Eliminate the parameter to find a Cartesian equation…

A: we have given set of parametric equation

Q: 3. (y) = = y, y 1 2, (2y1,

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

Q: Solve the absolute value inequality. 6x-3| B. 6x-3-15 c. <6x-3<

A: We have to solve the absolute value inequality…

Q: Let f(x)= = x - 2 Determine the following: lim f(x) x 4 O Does Not Exist O Undefined lim f(x) x+4+ o…

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Q: 57. lim f(x) = f(2)=3, lim_ f(x) = -1, lim f(x)=2= f(4) x+2+ x-2- x-4

A: limx→2+f(x)=f(2)=3,limx→2−f(x)=−1,limx→4f(x)=2≠f(4)

Q: Find the volume formed by rotating about the y-axis the region enclosed by: I= 7y and y³ = x with y…

A: Volume of solid obtained by revolving the region about y axis is given as

Q: Define f(3) in a way that extends f(s) = f(3) = s³-27 s²-9 to be continuous at s = 3. (Type an…

A: We have to define f( 3) in a way that extends f(s) is continuous at s = 3.

Q: Find the equilibrium price and quantity for the following supply and demand functions. Demand: p =…

A: The given function Demand: Supply :

Q: Visit this desmos link and interact with the graph in order to determine a so that if |x − a| < 8,…

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Q: y-yomo(x-xo) and passing through the point (x,y) • What is the equation of the line perpendicular to…

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Q: 10. Using the precise definition of a limit, with and 8, prove lim 2x² - 4x + 1 = -1. x-1

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Q: The graph of a function is given to the right. Use the graph to find each of the following. a. The…

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Q: Write a polynomial function in factored form with real coefficients whose zeros and multiplicities…

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does…

A: Note :As per our guidelines we are supposed to answer only 3 sub-parts If there are multiple subpart…

Q: Find the domain of the following function. √√x-5 X+2 G(x) =

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Q: Find f''(x). f(x)=6x²-13x- 13x--7/ f''(x) =

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Q: 13.5 Suppose *** f(x) dx = 2, S 6 11 8.5 f(x) dx = 8.5 * ( 2 f(x) - 4) dx = 11 8.5 √5³ f(a)dx = 4, 6…

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Q: Consider the curve parametrized by x = t4 + 1 and y = tº + 4t5. a) Find dy dx da in terms of t.…

A: Given: To Find: (a) To find  in terms  of t.(b) To find  in terms of t.(c) To find the intervals of…

Q: 1. Find the parametric equations for the line through (1.4,0) and perpendicular to both i+j and j+k.…

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Q: (2) Let f(x) = -3 sin (+). (c) Sketch the graph or y = f(r) in two complete period.

A: To sketch the graph of y=f(x) in two complete period

Q: The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an hourly…

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Q: (3) Solve the equations for x and correct the answer to four decimal places. (a) 52-1 = 32+1 (b) 4…

A: Given Equations are as follows As we know that

Q: Find the angle between the vectors. u= √√√3i -5j, v=√√3i+j-3k The angle between the vectors is 0 =…

A: The given vectors are Let the angle between vectors is

Q: Consider the function f(x) shown in the diagram. Draw the secant line to f(x) over the interval [0,…

A: The graph of the function f(x) is shown as,

Q: 2) Solve the equations for exact solutions. (a) e² - e - 12 = 0 for z

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let an (a) (3x-3)n 3n+3 (a) What is the ratio In this question we consider the interval of…

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Q: (g) In x x2 dx

A: Dear learner as per our guidelines, I can solve one question at once.Further can be reposted thanks…

Q: Find an equation for the tangent line to the curve parametrized by x = t cos(t) and y = t sin(t) at…

A: x=t costy=t sintt=-pi.

Q: (3) A boat is cruising the ocean off a straight shoreline. The crew spots two buildings which are…

A: The figure

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: The given equation is,The average velocity on the interval [2,2.01] is given by,

Q: lim x1 x² - 4x + 3 x² - 6x + 5

A: L=limx→1x2−4x+3x2−6x+5

Q: -6 X = -4 increasing decreasing -2 -4 relative minimum -6 (i) Identify the critical numbers of f.…

A: We have given a graph of f'(x).We have to find the critical points, monotone intervals and relative…

Q: Consider the curve parametrized by x = t¹ + 1 and y = tổ + 4t5. dy a) Find dx dy dx in terms of t.…

A: Here we will find dy/dx on doing differentiation of x and y with respect to t,

Q: Q.4// Solve the following system of linear equations using matrices: x+y 2z = 3 3x-y+z=0 3x + 3y +…

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Q: Find the slope of the tangent line to the graph of the function at the given point. 7 g(x) = Need…

A: We need to find the slope of the tangent line at the given point.