1. (D³ - 2D² - 5D + 6)y=0

Q: iii) ii) Find the gradient of the tangent line at x = 1 on the curve y = f(x). Find the equation of…

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Q: ) f(x) = x(x − 3)

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Q: 35. A motorist drives on State Road 417 to and from work each day and pays $3.50 in tolls one-way.…

A: The answers are in step 2.

Q: E. y = f (x) = (x² + 2x + 1) (2x² + 4x + 2) (Use the Product Rule) 10x² 20x+10 2x-2 (Use the…

A: E. Given that y=fx=x2+2x+12x2+4x+2using product…

Q: T(i) = (1,2), T(j) = (3,1), T(k) = (5,-2). Find T(2,1,3) (1,20) (5,-2) (20,-1) (3,-2)

A: T(i)=(1,2), T(j)=(3,1), T(k)=(5,-2).

Q: Find the length of side x in simplest radical form with a rational denominator. Answer: T= 45° 6…

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Q: Let R be the region enclosed by the line y = -1, the line x = 2, and the curve y = x² - 1. 0 -1 Y…

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Q: The graph below is the function f(x) 5- 4- 02 -5 -4 -3 -2 -1 1 -1 -2 0-3 4 -5 1 2 3 4 5 Find lim…

A: Graph of the function is given, we have to find the values of limx→-1-fxlimx→-1+fxlimx→-1fxf-1.

Q: Evaluate the integral f fxy dA, where R is the triangle x + y ≤ 8, x ≥ 0, y ≥ 0. NOTE: Enter the…

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Q: Calculate the distance between the points K+(-2,-2) and F((2,1) in the coordinate plane. Give an…

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Q: et M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by ² +…

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Q: A real estate office handles an apartment complex with 50 units. When the rent per unit is $580 per…

A: Given: A real estate office handles an apartment complex with 50 units. When the rent per unit is…

Q: I A N In the above picture, 0≤x, y, z ≤ 2. Points A and B are located on the face of the cube where…

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…

Q: When a species of pigs is introduced onto an island, its population increases 15% each year. This…

A: Given equation P = k( a )t where k and a are the constantsP = population after time t

Q: Find M3 for f(x) = 4x + 7 over the interval [0,2]

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Q: When a species of pigs is introduced onto an island, its population increases 15% each year. This…

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Q: F(s) = 45+5 (S-1)²(s+3)

A: Topic = Laplace Transform

Q: Consider the equation y=-2 cos 2x - The amplitude is = The period is p = The midline is y = The 5…

A: Consider the equation y=-2·cos2x-π2-12.Then to determine the following.The amplitude, period,…

Q: Find the center and radius of the sphere with equation (x+5)^2+(y−6)^2+(z+4)^2= 49

A: given  (x+5)2+(y-6)2+(z+4)2=49 standard form is (x-a)2+(y-b)2+(z-c)2=r2 where centrev is  (a,b,c)…

Q: Find the rules for the composite functions f. g and g. f. 1 f(x)=√x+10; g(x) = x-10

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Q: F(s) = 6s+17 s²+8s+17

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Q: Wilderness Fanatic, a manufacturer of outdoor goods, is willing to supply 1100 of its Blue Thrash…

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Q: Evaluate the limit lim Y→ 2 5(y² - 1) 4y² (y - 1)³

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Q: 22. The National Head Injury Foundation estimates that every 15 seconds, someone in the United…

A: Given data enery 15 sec , someone will sustain a brain injury approx 750000 people per year require…

Q: K Simplify the function algebraically and find the limit. x²+2x-8 lim X→2X²-4x+4 Simplify the given…

A: The given limit is: limx→2x2+2x-8x2-4x+4

Q: Find the volume of the solid formed by rotating the region enclosed by about the z-axis. Volume=…

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Q: dr dV Here is a graph of = dt dt where 1) What is the meaning of lim, d 4πr constant rate of the…

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Q: Find the limit. 7- 7 tan(x) X→π/4 sin(x) = cos(x) lim

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Q: Perform the following calculations by expressing the complex function in exponential form using the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (d) Find the work done by the force in moving an object from point (-2,4) to point (1, 1) along the…

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Q: A person standing at the edge of a cliff throws a rock upward from a height of 240 ft above ground…

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Q: Find the midpoint M of the line segment joining the points S=(7,5) and T=(3,-3).

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Q: Use a definite integral to find the area under the curve between the given x-values. 3 f(x) = from x…

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Q: 11. f(x)=x²+x; x = 0

A: Asked question 11) f( x ) = x2 + x

Q: Determine the infinite limit. O 8 -0 8 lim cot(x) .+ X→π

A: Given: limx→π+cot(x)

Q: Find an equation of the sphere with center C(3, 4, 5) that passes through the point A(1, 3, 3).

A: Question - Find an equation of the sphere with center C(3, 4, 5) that passes through the point A(1,…

Q: A theater manager graphed weekly profits as a function of the number of patrons and found that the…

A: Solution of given question is written in below steps.

Q: You are given the dollar value of a product in 2015 and the rate at which the value of the product…

A: Given  value in  2015  is $ 137  t = 15 for 2015  rate - $3.50 increase per year

Q: Given f(x) f'(x)= = 2 9 x X " find f'(x) using the limit definition of the derivative.

A: Given: f(x)= (2-x)/(9-x)

Q: If the equation: P=40e^-0.101t is rewritten in the form P=P0a^t What is P0? what is a? Is this…

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Q: Find the center and radius of the sphere with equation (x+1)^2 + (y+4)^2 + (z−3)^2= 81

A: standard form of sphere is (x-x1)2+(y-y1)2+(z-z1)2=r2 centre is  (x1,y1,z1)   and  radius=rgiven…

Q: 4. Determine a and b so that the following piecewise function is continuous everywhere. if x 1

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Q: Suppose f is a continuous function on [-2, 2] such that f(-2) = 1, f(2) = -1. Which of the…

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Q: Find the equation which satisfies the separable differential equation dy dx -13x Y with the initial…

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Q: Is this function g(t) continuous on the given interval? - Ists ts I 7 sint on

A: Given : interval

Q: The rectangular coordinates (x, y, z) of a point are given. Find the cylindrical coordinates (r, 0,…

A: Given rectangular coordinates ( x , y , z ) → ( 1 , 3 , 3 ) we want to find out corresponding…

Q: Calculate the work done in Joules for stretching a spring from the rest position x = 0 onto x = 5…

A: Given; x=0 to x=5 F(x)=36x2

Q: Find the Laplace transform of the given function f(t) = e-tsin4tcos4t

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: What is the length of the curve y = 1- cos x from x = 0 to x = 4T ? A B C 11.314 15.281 18.850…

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