In Exercises 1 and 2, compute the solution of the given IVP. 1. d²y dt2 +9y2 cos(3), 2 cos(3t), y(0)=2, y'(0) = -9

Q: (a) Find the slope of the tangent line to the given polar curve at the point specified by the value…

A: We have to find the slope of the given polar curve at the point specified.

Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] fox)…

A: We have to solve and draw the graph.

Q: A region is bounded by the y=x2 and y=6x-x², Which of the following integrals would approximate the…

A: Option (a)

Q: 45. 2 (2-x)² √2+x I = (A) 2 √2=x dx = ²√ √/²³ (x) + (B) 1 +c, then f '(1) is equal to - c (C) 4

A: If, I=∫22-x22-x2+x3 dx=34f2x3+c, then to determine the value of f'1.

Q: B. In the diagram below, not drawn to scale, A, B, C and D are points on the circumference of a…

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Q: Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = -2q + 890, what profit can the…

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Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

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Q: Use the theorems to evaluate the limit. 1 lim x → ∞ x2 ||

A: We have to evaluate the limit.

Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: ·S. Given : 1 value of -AB AB. 3 72 40 8x + 1 20 3 280 3 4x - 3 4x - 3 dx. If we let the…

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Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…

Q: 1. Evaluate the integral: (a-1/3 - 2/3) da X

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: 2. Limx cosx x-o sinz sin²x

A: The given limit,    limx→0x2cosxsin212x

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: Topic:- calculus

Q: 10. 2z + 3 2+2 11. 2z - i iz + 2

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.

Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: lim x-0 x - tan x3 X

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Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

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Q: Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 8, which V makes with the positive…

A: We have to find the vector and angle.

Q: 1³(x³ + x) dx

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Q: (a) √738(t - 4)dt (b) 738(t + 2)dt (c) √²38(t+4)dt (d) f²3x²8(t-4)dt (e) ¹3x²8 (t+2)dt -3 (f) ²3x²8…

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Q: (e) Find the exact length of the curve. x = e cost, y = et sint, 0 ≤ t ≤n.

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Q: soon as posible

A: We will use substitution.

Q: - First Order Linear Differential Equation Direction: Solve the general solution of the following…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: FCILICI. B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION:

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Q: + [ ] [ f(x, y, z)dV, where f(x, y, z) = 2² yz and S is the solid bounded by the elliptic paraboloid…

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Q: What is the mass in both (a) slugs and (b) kilograms of a 4390-lb car? Answers: (a) m = slugs (b) m…

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Q: A force is specified by the vector F = (155i +80j - 200k) N. Calculate the angles made by F with the…

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Q: Find the general solution to differential equations 2 #) (-2xy) dx + (Siny-x²) dy +³

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Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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Q: Simplify to an expression involving a single trigonometric function. Please show work so i can…

A: SOLUTION-

Q: (d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of…

A: Question d and e has been solved as per the request of the student.

Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: Evaluate √√√1 + sin x dx.

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Q: FCILICI B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra

Q: H.W : Prave the orthogonality. Conditions for the Sine and casine functions....

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Q: Basic Ca Derivatives Water is being poured at a rate of 5m^3/s into an inverted conical tank of…

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Q: A. Given that f(x)=2x-3 and g(x) = 6x-1. calculate the value of f(5). derive an expression for…

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Q: Find the area of the region enclosed by the graphs of f(x)=x²-10x and g(x)=6x 50-64

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Q: 6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer…

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Q: The graph C' of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: 12. y = 3t 1+t³ X= 3t² 1+t³

A: We can find y' using chain rule as below.

Q: M Gmail ▸ YouTube Maps Google Homework Help On... Ciudades inteligent... ¿Qué es Ingeniería I...…

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Q: 7. Evaluate the volume generated by revolving the area bounded by the given curves using the hollow…

A: The given curves are x=4y-y2, y=x.   Now find the point of intersection between the curves…

Q: y = 2sinx and y = 0 from x = T to x = 4 π 2

A: The given curves are y=2sinx and y=0 from x=-π4 to x=π2. So, the bounded region is as shown below;…

Q: COS cos t 1 - sin t - dt

A: To evaluate: I=∫0π2cos t1-sin tdt

Q: Q3: Fill in the blanks in the following: 1. If a=(3,-2, 6) and b =(4,-1,-6) the axb = ********* 2.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…