2. 2 y² - 4y + 10 dy

Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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Q: The figure below shows J(a) and its local linearization at a = What is the value of a? a = 2 What is…

A: linearization

Q: turkey temperatu temperature is 75°F. After 10 minutes, the temperature of the turkey is 172°F, and…

A: Follow the procedure given below.

Q: Show that the points form the vertices of the polygon. right triangle: (−4, 5), (0, 7), (2, 3)…

A: The given points are -4,5, 0,7, 2,3

Q: USING APPROXIMATION METHOD FIND THE INTEGRATION OF THE FOLLOWING PROBLEMS: Use at least 6 decimal…

A: Given :∫-24sinx2+2dxn=6

Q: Q110 is the angle ABC: 1- Obtuse if and only if its complement is right 2-Obtuse if and only if its…

A: Consider an angle ABC.

Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A: See the details solution in below

Q: Solve the following matrix equation for a, b, c, and d. b b + c 2 [ad - [10²] = 3d + c 2a - 4d 11 6…

A:

Q: Verify that f has an inverse function. Then use the function f and the given real number a to find…

A: The given function f(x)=x-9, x>9

Q: Evaluate the following integral: * *π/2 [sin² 6 1/42 4 O - (2/63) O - (3/28) O 2/63 sin x cos³ x

A: The objective of the question is evaluate the definite integral and choose the correct option.

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Using shell method, volume is evaluated.

Q: Two people are 8 meters apart. One of them starts walking towards north at a rate in which the…

A: This question is related to rate of change, we will solve it using given.

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + B.

A:

Q: Find the tangent line approximation for √1 + x near x = = 5. ||

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Q: - 3x Find the derivative of y with respect to x if y = e

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Q: Find the equation of the tangent line to the vector function r(t) = (1-2 arctan(t), 3e¹−¹², 4ln(t²…

A:

Q: Find the derivative of the trigonometric function. y = cos((?x)8)

A:

Q: Explain why the function f(x)=3x+2/x²+5x+3 has no vertical asymptotes.create a rational function so…

A: Given function has vertical asymptote

Q: Find the orthogonal trajectories of the family of curves: y = k (csc x + cotx) Ⓒy²= 2 (C- cos x) O y…

A: This question is related to differential equations, we will solve it using given information.

Q: Determine the graph of the equation a² + y² + 2² - 6x + 2y - 4z + 19 = 0. O Sphere O Point O Empty…

A: Given :x2+y2+z2-6x+2y-4z+19=0

Q: 1. 2²₂(3x-4)dx

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

Q: The percentage of people of any particular age group that will die in a given year may be…

A:

Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

A: We need to find f(x).

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 5 about the x-axis.…

A:

Q: What is the coefficient of the second term in a binomial that is raised to the sixth power?

A: Given.

Q: The f is equal to 2x³+x X H. In (2x²+1)2 W. In +C I (2x²+1)2 K. None of the choices +C O. In R. In 1…

A:

Q: Evaluate the following: 1. [ sinh(4)dæ

A: Application of integration

Q: 7. fx√x - 1dx 8. 9. √ (2) √2² - 1 da dx 1 15. dx 5x + 1

A: 7. ∫ xx-1dx

Q: Find the derivative of the function using the chain rule. y = log10(7x)

A:

Q: (1+x² +C B [2x (1+x) dx-A)- 11 10 11 f(x)=x+cosx, xe [0,7), then the function has an inflection…

A: from graph  stationary point: point of function is a point where the derivative is equal to zero .…

Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: Given the vecor-valued function R(t) = cosht i ln(t+1) j+et k, find lim h→0 R(0+ h) - R(0) h O…

A:

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Let's find volume of solid.

Q: A population of animals starts at 484, 000 and grows continuously at 9.00% per year. Find the…

A: Given , Initial population P=484,000 rate r =9% time t=17 year

Q: 2 n (2k + n)2 k=2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the area of a parallelogram having the vertices P(1, 1, -1), Q(4, 2, 1), and R(6,3,1) O √13 O…

A: To find the area of a parallelogram having the vertices P1, 1, -1, Q4, 2, 1 and R6, 3, 1.

Q: (B) let y = 3sin5x-2cos5x show that y + 25y = 0

A: Given :y=3sin5x-2cos5x    To prove : y''+25y=0

Q: Let f(x) = 4x²(x-8) + 14. Find the critical points c that correspond to local minima. (Use symbolic…

A:

Q: (b) The Taylor series of f(x) about x = a can be expressed as f(a + x) = f(a) + Σn=1 500 x..…

A:

Q: Calculate the value of the line integral fds where f(x, y, z)=e² and C is described by X C (x, y,…

A: The objective of the question is evaluate the definite integral.

Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t+ 32) sin(t)dt

A: We nee to evaluate ∫t3-4t2+5t+32 sin(t) dt

Q: = 0? 5. Which of the following is a normal vector to the plane Z = a. C. n = (1,1,0) 72 = = (0,1,0)…

A:

Q: For each of the following functions, do the following: a. Determine if f is continuous at a. b.…

A: We are authorized to solve only one question, please repost remaining questions Continuity and…

Q: Find the orthogonal trajectories of the family of curves: y = k (csc x + cotx) Ⓒy² = 2 (C- cos x) O…

A:

Q: 3. How is the continuity of the following function at x=0? There exist Left continuity Right…

A:

Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

A:

Q: AY (1, 1) A X=1 y=x² с X (0,0) = 1, and the y-axis. Region A is bounded by the parabola x = y², the…

A: Note : As per our guidelines we are supposed to answer only 3  subparts if there are multiple…

Q: Use linear approximation, i.e. the tangent line, to approximate 101 as follows: Let f(x) = = and…

A: We need to find value using linear approximation.

Q: ind the indicated partial derivatives of the function. (a) f(x,y,z) = xy + 2yz +3zx+xª; ƒx‚ ƒy [(b)…

A:

Q: Find the tangent line approximation for √1+ x near x = 5. y = ||

A: