23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: The probability density function for a continuous random variable X has the form, Find the…

A:

Q: How to find point of intersection?

A: You have to sketch the graphs using a graphing calculator like this:

Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: 3. A rectangle is inscribed under the curve of f(x) = e-*², where one side of the rectangle lies on…

A: Follow the procedure given below.

Q: Solve the trigonometric equations. (a) 2cos (x) = V3 in [0, 2n) (b) tan(x)–1 = 0 in [0, 2n) (c) V2…

A:

Q: 6. 2y²e»² dx + 2xye»*dy = 0

A:

Q: ind The Area Using Integration and Make a sketch of the grap

A: Given

Q: Letf(x) = x+3x -9x-13 (a) Find the intervals where J(x) id increasing and decreasing; (b) Find the…

A:

Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: Consider the two series: 6n (a) 5n + 39 n=1 1 (b) n2 In n n=1 Which of the following statements is…

A: Given

Q: An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y)…

A:

Q: cos(x ) + æ5.1 dx. )ln(1+x² 3 cos(x Evaluate 1+ el.61x – 68 - 3. answer

A:

Q: Evaluate the integral (Partial Fraction Decompo! X + 4 J (x2 + 2)(x² + 1):

A: Evaluate indefinite integral.

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A:

Q: The graph of one complete period of a cosine curve is given. y (a) Find the amplitude, period, and…

A:

Q: Given that f(x) = a°h(x) h( – 1) = 3 h'( – 1) = 6 Calculate f'(- 1). Hint: Use the product rule and…

A:

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Here to of the function is at point (1,5), On left side function is increasing ,and at right side…

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

A: We have to evaluate integral

Q: Assume the acceleration of the object is a(t) = -9.8 meters per second. (Neglect air resistance.)…

A: Given data÷ As you have suggested i have solved all steps of part 1.

Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) & B(-3,-7)

Q: 1. Lets say Q(x) = 5x + 2 P(x) = 3x2 - 5x +1 Find (a) Q (-3) (b) P(5) (c) 5P(x) – 20(x) (d)…

A: Let's find.

Q: Short Answer dr = Inr+c. a) True or False? Please explain your answer. b) c) = ? dz d) What does…

A: Given problems:-

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: We want to find area using geometry.

Q: Find an equation of the circle that satisfies the given conditions. Center (-1, 6); passes through…

A:

Q: Sketch the figure or analysis. Shade the needed region and draw representative vertical or…

A: Follow the procedure given below.

Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: 7. 1. A = 4 6. 4…

A: 1.A=7-346 det(A)=7×6-(-3)×4=42+12=54 2.B=4-5-19 det(B)=4×9-(-5)×(-1)=36-5=31 3.C=213-312-27…

Q: 12) y- 3x+ 2x

A: We know that ddxxn = n·xn-1

Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

A:

Q: (x S+ 3x? - 4 ) dx 12

A:

Q: 18 of 19 50 where T<0< 4r as shown in the diagram A rubber ball is being spun in a outward spiral in…

A: Let's find.

Q: 2. Solve for x the equation sin1 3x - cos1 2x = 6

A:

Q: 5 6 Consider the function f(x) x2 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

A:

Q: Is 3 A m, m being any real number, possible? Explain. [IC]

A: This is a problem related to vector parts. Based on the general formula and concepts we will answer…

Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

Q: Let f(x)=5x/2 - ex . Find the value of x for which f''(x) equals zero.  A. 0 B. 5e C. ln5 D. e5…

A: Solve for x by differentiate f(x) with respect to x.

Q: Consider the following series. 8 + e-n n = 1 What does the Test for Divergence reveal about this…

A: We know the necessary condition for the convergence of a series. A series ∑nan   is convergent…

Q: The point (4, k) lies on the ellipse 32 y? = 1. 18 Which of the following could be a value for k? 0…

A:

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: Find an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and (−1, 2, 3). Show all…

A: Here we have to obtain an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and…

Q: Find the nine roots of -256 – j256/3.

A:

Q: f (x) = sec? x +1

A:

Q: Answers

A: We will find the derivative using Chain rule.

Q: Consider the following series. s (-1)" n = 2 In(3n) Test the series for convergence or divergence…

A: According to bartleby guidelines I can only answer the first three sub-questions of the given…

Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

A:

Q: A stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 12…

A:

Q: y-axis Consider the graph shown to the right 4. lim f(x) X-axis 5. Evaluate lim f(x) X-3 6. lim f(x)…

A:

Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

A: We know that on unit circle , x co-ordinate is cosθ and y is a sinθ. Therefore cosθ=-35sinθ=45we…

Q: How did you get the expression for xtan^-1(x)? How did you relate it with the maclaurin series of…

A: Apologies for the inconvenience. Here is the correct solution.    Given that:…

Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cost î + sint j + k.…

A: