1. 2 Vĩ-

Q: y 4 (2, 4) y = 2x y = x2 2 Using a vertical element of area, the area of the shaded region is given…

A: Solve the following

Q: Give your answer correct to Use differential to estimate the value of y 4.01 V4.01 8. four decimal…

A:

Q: 12. y" +y = séc' x tan x.

A: Let's find.

Q: from e'dv Ve4v -16

A:

Q: (c) Use de Moivre's formula to write down a formula for all o words, give a formula for the complex…

A: answer is in next step

Q: d d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly…

A:

Q: Find the 5th order Taylor polynomial about a = r for sin x.

A: To find Taylor polynomial for given function

Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

A:

Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: Explain why the function f(x) = ez is not injective (one-to-one) on its natural domain.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb…

A:

Q: Which of the following DE has separable variables? O (xy? + x)dx + (x²y-y)dy=D0 O (x- y)dx+(3x+…

A:

Q: 25. æ sec (a²) tan(æ²) dæ | sin? x dx (Hint : cos (2x) 26. 1 27. dx 4- (ӕ — 1)? 1 dx 9x² + 25 28. dx…

A:

Q: y = xx, x=4, and y =0 Revolve the area of the shaded region about the line x = 4. Using circular…

A:

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: Solution: Given data, h(x,y)=x3-3x+3xy2

Q: 1. A soccer ball is kicked with a speed of 75 mph at an angle of 30° from the horizontal. Write the…

A: Given query is to find the velocity components.

Q: Evaluate the definite integral. Use a graphing utility to verify yourr result. (sin(x) – 3) dx Step…

A: To evaluate the given difinite integral. By using a graphing utility to verify your result.∫0πsinx-3…

Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x? such that f(0)…

A: The given problem is solved below in detail..

Q: Write the given decimal as an infinite series, then find the sum of the series, and finally, use the…

A: The sum of the infinite geometric series with first term a and common ratio r is given by…

Q: x(2x² – 1)" dx After substitution is performed, which of the following is equivalent to

A: Given, ∫14x2x2-17dx

Q: Let f(x) = - 5 sec(6x) f (x) =

A:

Q: system which is represented by the given equation below, is able to work effectively ven when the…

A: Given, f(x) = 7x ^ 3 - 0.31x ^ 2 + 8x - cos(x).

Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

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

Q: Find an explicit formula for an. 1 1 4'9' 1 1 14) 1, 16' 25

A:

Q: Show that the function f defined by (r, y) = (0,0) f(x, y) = { 22 + y (r, y) # (0,0) x + y

A:

Q: 5. IF sin@=5 =E and@inthe first quadrant, find cos

A: We have to find the cos angle

Q: 20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a…

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

A:

Q: Type the correct answer In each box. -5 5 10 -20 0 a = b: and d%=

A:

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

A:

Q: Еxample 5 1 1- Vxdx ха 0,

A:

Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 6x, y = 0

A: Solution 1.  Given y=-x²+6x  And y=0 Now intersection point -x²+6x=0 X(6-x)=0 X=0 and x=6 Points…

Q: Determine convergence or divergence of the alternating series. 24) E (-1)n 6n5 + 5 n = 1

A:

Q: convert csc x/ cos x to sec^2 x/ tan x

A:

Q: So ez dr. Write out the terms of the sum, but do not evaluate it: Sum = On another sketch, represent…

A:

Q: 850 b. 450

A:

Q: 5) Find the unit vector in the direction of v = 2i + j+k 1 - i+-j+ d) i+j+k 1 1 j+ V5 а) V5 k b)

A: We can solve this as follows:

Q: y y =x - 4 y =/2x + 8 4 6 10 x -2- -6+

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Let's find.

Q: Consider the following. u = 3i + 4j, v = -7i - j (a) Find u · v. -25 u v = 5- V 50 (b) Find the…

A:

Q: Determine the vector field of F. F(x, y) = yi – xj

A: Given:     F(x,y) = yi - xj.          ---------(i) We have to determine the vector field of equation…

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A:

Q: V4.01 V4.01 Give your answer correct to Use differential to estimate the value four decimal places.…

A: topic- differentials

Q: After substitution is performed, which of the following is equivalent to (4r249)7 dx? 45 8 du u? 13…

A: We have to use the u subsitution method

Q: Find the following using the table below. 123 4 f(x) f'(x) | 3 | 1 | 4 2 2 3 4 1 (x)6 2 3 4 1 E|…

A:

Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: Which of the following equations is a homogenous DE? O (xy? + x)dx + (x²y- y)dy=D0 O (x- y)dx+ (3x+…

A:

Q: exdll Values of the six trigonometric functions of the angle. (-7, -4) sin 8 =-0.496 cos e =-0.868…

A: Find your answer below

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, ) = 4x + 2y +z subject to z +…

A: