O The slingshot reaches a greater height at 162 feet, which is the vertex of the parabola. The Ferrie whe acher ater height a 175 point of the circle

Q: Find the solution of the differential equation that satisfies the given initial condition. 2t +…

A: The given differential equation is dudt=2t+sec2(t)2u⇒2u du=2t+sec2(t) dt ..................... (1)

Q: can you please write it clearly I can't understand it

A: As per Bartleby guidelines rule I am answering only question number 1 as both question are different…

Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

A:

Q: We are trying to prove the following limit. lim (-3x - 2) = 1 x→-1 1 Suppose that we have found a…

A: We are trying to prove the following limit.limx→-1-3x-2=1Suppose that we have found a value of ?…

Q: Repeated Linear Factors: Examples x³ -x +3 dx (2x+ + 40x³ +300x²+1000x+1250)

A: The integration of the integral is (x3-x+3)/(2x4+40x3+300x2+1000x+1250).

Q: 55. The region in the first quadrant, which is bounded by the curve y² = 4x, and the line x = 4, is…

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Q: Which of the following graphs represents the equation (x-3)=-4(y-4)7 0 0

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Q: 9. The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300+40…

A: Given.

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

A:

Q: √9-x²2x √ O O√9-² % √9-2 - - Arcs + C +Arc3in Ễ+ế

A:

Q: Which of the following conic sections could be formed when a plane intersects both cones of a double…

A: Given.

Q: 3-6 For sketching the function y = y-intercept x-intercept horizontal asymptote concavity of the…

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Q: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

A:

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

A: See the answer below

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: 16. What is the area between y = 0, y = 3x², x = 0 and x = 2? A. 8 C. 12 B. 24 D. 6

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Q: Q.5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendicular on the plane passes through…

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Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: For Numbers 30-34. A ball is shot straight up from a building. Its height (in meters) from the…

A: In this question we have to find the following question based on the given statement. Note: As per…

Q: C) Use the Chain rule to find () (). For the following functions: (1) u=xy-1 where: x = e-2r cos-1 r…

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Q: 1. f(x√ x² -9]dx 10.

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Q: Find the function p that satisfies the following conditions (assume x>0) p’(x) = 60/x^3 ; p(2)= 7

A:

Q: 11) Find the best upper bound for the error when using Newton polynomial P3(x) to estimate f(x) =…

A: Concept: The upper error bound using the newtons polynomial: Rn≤Mnn+1!maxx∈a,bx-x0x-x1....x-xnWhere…

Q: 2. Find the surface area of the solid generated by rotating the region bounded by the graphs of f(x)…

A: In this question we have to find the surface are of the solid region generated by rotating the…

Q: Express as a single logarithm and, if possible, simplify. 1 log b +3 log c 2 log b + 3 log c = 2…

A:

Q: Question 6 dz Find the partial derivative of z with respect to x da = -2xy (3x²+1) sin(x²y) + 6æcos…

A: In this question, we want partially differentiate z with respect to x.

Q: The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000…

A: Please follow the next step.

Q: Let us see what you have learned in this module. Write answer on the spaces provided for you. A.…

A: As per the company guidelines We can first three parts only. Please understand. Kindly repost the…

Q: Evaluate the integral O 03/20 Ⓒ100 C 87² dx using the two-point Gaussian quadrature rule. 1+16z4

A:

Q: Question 10 Find the partial derivative of z with respect to x (8) f ах (22−y) = Əz C dz 2(x-y) 2²…

A:

Q: Consider the function f(t)= 3 sec^2 (t) - 3t^3. let F(t) be the anti derivative of f(t) with F(0)=0.…

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Q: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

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Q: A satellite orbits the Earth with an elliptical orbit modeled by the maximum distance between the…

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Q: Q3. Given the set: (11,13,7,9,14,18,10,13,9) a) Find the five number summary of the data set. b)…

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Q: Find the extrema of the function: f(x) = sinx cosx Find:  1. Critical Values 2. Maximum and…

A: We are given the function f(x) = sinx cosx. It can also be written as f(x)=12sin(2x). For (1), For…

Q: Q2: Find the for the following functions: dy dx 1. y = 1- and t = 1/ 2. y [In(x² + 2)²1³ 3. y = xsex

A:

Q: The plane that passes through  (9, 0, −3)  and contains the line  x = 6 − 3t, y = 2 + 5t, z = 4 +…

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Q: Determine the angle between 0 and 2m that is coterminal to 1020⁰. 10 3 5 3 3 3

A: we have to find a angle between 0 to 2π that is coterminal to 1020

Q: Find the volume of the figure. Round to the arest tenth if necessary 12 in 13 in.

A: Given query is to find the volume of the figure.

Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y

Q: You plan to invest in an account which pays 5.5​% compounded continuously. If the investment period…

A:

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: Evaluate the integral I. integral range of 0 to 1. ((9/1+t^2)j + (6t^5/1+t^6) k ) dt Using  u = 1 +…

A:

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: 4. To integrate using trigonometric substitution the functio dx -2x we let x = sec 8 - 2

A: We wil use substitute method

Q: Question 2 Let F(x, y, z) = -2y + 2x J. Use Stokes Theorem to find +√7. -d7, where C is a circle…

A:

Q: 36. Find the length of the curve r = 4sin e from 0 to 9 = 90° and also the total length of curve. A.…

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

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

A:

Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows: