4. Integrate the function below using Algebraic Substitution and 4 lines only (solution + answer). S √2y5-y4 dy

Q: Q2/ Find the velocity, speed, unit tangent vector and acceleration of the position vector f(t) at…

A: This is a problem related to vector and derivative of the function. Based on the general formula and…

Q: (1+x)(1+ry Q14) 2x (1+x) dx - A) +C B 11 10 11 10 Q15) f f(x)=x+cosx, xe [0, ], then the function…

A: Note:- As per your demand we solve question 14 and 15 for you  Given problems:-

Q: 7. Use contour integration to evaluate (a) dr x²+x+1² de (b) 3+2 sin

A:

Q: 1. S √x dx VX +1

A:

Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: local linear (20) 1f the graph of the function f(x) is stretched vertically by a factor 2 and then…

A:

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

A:

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A:

Q: Question 7 (a) Find if x² + y² + xy = 1 dy dx (b) Identify the nature of the stationary points of…

A:

Q: 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB.

A:

Q: The linearization a at a = 0 to √8+7x is A + Br. Compute A and B. A B=

A: To Find: Linearization for fx=8+7x at a=0

Q: A clothing store buys scarves for $22.00 less 27% for buying over 50 pairs, and less a further 24-%…

A:

Q: _2. Which of the following series is divergent? 1 1 1 (α) Ση=12n-1 (b) En=1,3 (c) En=13 Σ n2 _3.…

A:

Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A:

Q: Determine if there are any inflexions on the graph given by y=2x4-3x³+ x²+6. Proof they are points…

A: The given function y=2x4-3x3+x2+6

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: xy = 1, y = 0, x = 1, and x = 2 is rotated about the line x=-1.

A:

Q: 4. f 30x²5x³+3 dx e

A:

Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [2,6] by computing the area…

A: Area using rectangle

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

A:

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) n = 4, c = 2 +2² P4(x) = = =

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 1.9² as follows: Let f(x) = x². The…

A:

Q: Question 7 AL Given that APOBDEA and APOCA are semicircles with centre O and P respectively. AP = 10…

A: We can solve the given question by the help of trigonometry.

Q: 3x · Se³ª sec e³ª tan e³ dx

A:

Q: Find a formula for the quadratic function whose graph is shown. y X 15 f(x) = -5 30 20 10 f 5 (5,2)…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: To find: Maximum profit

Q: The function f(x) = = √x 2+√√4x is. increasing on its natural domain increasing on (2, 3) and…

A:

Q: 10. Evaluate cos x sin² x dx

A:

Q: Which of the following is not an indeterminate form? * ∞-∞ O Option 1 0/0 O Option 2 1∞ 1/0

A: Topic = Limits Correct option = 4

Q: Find the Fourier series for the periodic extension given below: 1, x(t) = t = [0,2] te [2,4] (-1,

A:

Q: 2. If Ac B then BCA.

A:

Q: 1 (2m-3)√4m (m-3) dm ans=1 arcsec( ² m - 1) + C

A:

Q: Which of the following statements is CORRECT? x³ + x 1 = 0 has no solution in [0, 2] Ox³ + x-1=0 has…

A:

Q: DETERMINE WHETHER THE GIVEN FUNCTION n(x) IS CONTINUOUS OR DISCONTINUOUS AT x = 2 3x² +4 n(x) = if x…

A: For function to be continuous at any point, limiting value of function at that point must be equal…

Q: .. Find the derivative of each of the following functions:- 1. y=(sin ¹x²+ 1+tan x

A:

Q: What is the solution of 3x2 + 6xy2 + (6x2y + 4y2 ) y' = 0

A:

Q: 5. 3 :) dx 'tan x cos x

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: magnitude of vector BC |BC| = magnitude of vector AB | A B|= angle A (using dot product) angle B…

A:

Q: Question 6 (a) Use the Maclaurin series, In(1 + x) = x -+-+-=-1(-1) ¹+¹ ² 1+2 to derive the series…

A:

Q: (a) Any critical point of a function f is either a local maximum or local minimum for f. True False…

A:

Q: Solve the general solution of the equations in items 3-4. 2 (2x² + y²) dx - xydy = 0 C Oy-1=x-3+C…

A:

Q: Q2/ Compute the following integral: 3 x √x - 4 dx

A:

Q: a) dy dx xe ex²+ y(0)=1

A:

Q: Given the graph of the function f(x), answer the following question. B C F D -20 -10 A E -10 Of the…

A: Solution is here

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: Given problem:- Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours…

Q: Find the first derivative of f = (h+2)² (2h+1) h²+3 V using logarithmic differentiation

A:

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

A:

Q: Find the derivative dy dx dx of the function y = sec (1 + 4 + sin ¹(4 + ²)

A:

Q: ¹-(₁ (1-2 (a) Given that A= (1) AB (ii) B (iii) AT 3 5 0 206 1 4 -1 3 ar and B= -3 2, determine

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 5a) 1 x[In (2x)]3 S.₁- -dx 5b) X ² (x² - 4)" S₁²7 3/2 dx

A: As per guidelines, I can answer only one question. Since both the question are not interrelated. So…