Find the solution of the differential equation that satisfies the given initial condition. dL=kL2 In(t), L(1) = -8 dt

Q: Given z = (e-2) (siny), find dr -2x O-2 e 2² (cos y) O-2 e 2 (sin y) O-2 e 2 (sin y) +e-2 (cos y)…

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Q: lim- x-0 X

A: Given :limx→05x

Q: Establish the identity. sec ² (-0)-1 = tan ²0 Which of the following four statements establishes the…

A: See the answer below

Q: Find the value of if the equationxy + z³x - 2yz = 0. Find the value of dz/dx&dz/dx at the point…

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Q: Q2. Find the standard deviation for the data: 5,10,7,12,0,20 7

A: We have to find the standard deviation for the data: 5,10,7,12,0,20

Q: Question 4 a) It costs $1500 plus $5.00 per bottle to produce the lotion. If x represents the number…

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Q: Problem 1: The graph of f and g are given. Use them to evaluate each limit, if it exists. If the…

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Q: Domain: [-00,00]; Range : [1] Domain: [1]; Range: [1] option 2 O Option 4 O ? The domain and range…

A: Domain : The domain of a function is the set of numbers x for which the function f(x) is defined…

Q: How much did Speedy Movers borrow for a debt that accumulated to $58,040.76 in five years? The…

A: To find out the borrowed amount.

Q: (x) (2) : (x+yi)

A: Follow the procedure given below.

Q: 34. Compute the surface area generated when the first quadrant portion of the curve x² - 4y + 8 = 0…

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Q: - Second order : non- homogeneous Equations with Constant Coefficients d²y 4-- + 16y = 10 cos 4x dx²

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Q: Evaluate the function below from x = 2 up to x = 4. ex S(7+2)dx All associated angles are in…

A: We need to evaluate integral.

Q: APPLICATIONS OF DERIVATIVES PROBLEM: An 80 cm piece of wire is cut into two pieces. One piece is…

A: TOPIC = APPLICATIONS OF DERIVATIVES

Q: 9. If the cones below are similar, what is the ratio of the surface area of the larger cone to the…

A: Given two similar cones with the given dimensions To find the ratio of the surface area of the…

Q: #2.) Calculate the slope of the tangent to the given function at the given point or value of x b.)…

A: 2.b) gx=x+2, P-1,1d) fx=5x-2, P4,52 Note:     multiple questions are given, we are answer only one…

Q: 27. Find the area enclosed by the curve r = a (1 - sin e). A B. 2a² C. 3a² D.

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Q: Find the volume bounded by the function z=f(x,y)=xy√√x² - y² over the rectangular region 8≤x≤10 and…

A: Volume bounded bya function z=f(x,y) and a region R is given byV=∬Rfx,ydydx

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

Q: solve the following diff. eque. of едис. 2 -2 O x ý76 Xý tay =

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Q: 1). 8. Determine the Cartesian equation of the plane that contains the line 7=(2, 3, 2) + t(1, 1,…

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Q: 9. Expand and simplify the answer. (2x - 2)°

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Q: f(x) = -3 sin x [0, 3T]

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Q: Solve the following problem by the two-phase method: Maximize -₁ - 2x2 subject to 3x₁ + 4x₂ ≤ 12 X1…

A: We need to maximize the value.

Q: Let e 2* = 2 find dy dx at x = 1

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Q: 4. √₁² (x²³/2 + x ²¹/2₂ - x^²/2) dx

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Q: Consider the functions. f(u) = u + u g(x) = cos(x) Find the following function and derivatives.…

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Q: If an arithmetic sequence has terms as = 20 and ag = 36, what is a15? 50 O 56 O 60 O 80

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Q: 41. What is the derivative of f(x) = secx + 3 csc x? A. f¹(x) = sec xtanx + 3cscx cotx 3cscx tanx C.…

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Q: 2. The mode score on the 6th grade math test was 94. Which of these interpretations must be correct?…

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Q: Question 9 Given f = xy² In (3y + 2x) + (xy)e* (ry), find dy

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Q: termine the angle between 0 and 2π that is coterminal with 4 11 5m 3m 그믐

A: Given query is to find coterminal angle.

Q: What is the sum of the infinite geometric series? 25-10+4-+ The series diverges. NIG 5 0 50 125 7 87…

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Q: 1. It is the unique real value that f(x) will approach as x approaches c. A. asymptote C. infinity…

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Q: To find the volume formed by the function z=f(x, y) = x²y over the triangular region bounded by the…

A: Given problem:- To find the volume formed by the function z= f(x,y)=x2y over the triangular region…

Q: Solve the following integral step by step 4x² + 3x - 1 -dx x²(x - 1)

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Q: Find the future value P of the amount Po = $200,000 invested for time period t = 2 years at interest…

A: Future value of P of an amount P0 for time t in years with rate of interest k compunded continuously…

Q: 4) X(-1,2,6) and Y (5,5,125 are two points in R³ a Determine the components of a position vector…

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Q: The gradient of the function 2x1 + x2-3 evaluated in x = (0 0 0) is: OA. Vf = (1 2 3)T OB. Vf=(0 0…

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Q: A) Find (). If (x,y,z)variables, and (2) a function in (x, y), and achieve the equation: 1 z+y²+…

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Q: Is the function f(x) = (x^2)+2 Even O Odd O Neither even nor odd O Even and odd O

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Q: eets 1 X STBunn Truck Sheet - Goo X Shelton State X LG myShelton Compute the derivative of the…

A: Given;  Sqrt(9+4x+sinx).

Q: 8. f sec² (3x - 1) dx

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Q: In reference to the following function: f(x) = x^2 + 7x + 13 / x + 4 What is f’(x)?

A: Given problem:- f(x) = x2 + 7x + 13/x + 4 Find:-f’(x)?

Q: Evaluate the function below from x = 2 up to x = 4. S((1+x) √æ -)dx All associated angles are in…

A: To evaluate the value of function given from x=2 to x=4.

Q: To form an ellipse, what is the relationship between the base of the cone and the angle of the plane…

A: We can answer the question as below.

Q: Let y=cscx then d³ y dx³

A: I am attaching image so that you understand each and every step.

Q: Use the Chain Rule to find the derivative. y = cos (e40) (Express numbers in exact form. Use…

A: Given.

Q: 7. For the sinusoidal function given below, find: a) The period and the equation of the axis -120°…

A: a) Here, from the graph to find the period and the equation of the axis.

Q: A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the…

A: A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the…