u=(-8,16) Find the magnitude (lu) of u=

Q: Find the centroid of the region bounded by the graphs of the functions y = 6x2, y = x2 +7 The centro...

A: This is a problem related to integration. By integration we will solve the centroid of intersected r...

Q: Activity 3 Find Your Rate at this Moment Directions: Differentiate the following functions and deter...

A: "Since you have asked multiple questions, we will solve the 1st question for you. If you want any sp...

Q: Laura borrowed a total of $25,000 from two different banks to start a business. One bank charged int...

A: Total money borrowed=$25000first bank chaged 5% simple interest.second bank charged 6.5% interest.ti...

Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2 A = 2+ j3

A:

Q: Let f(x)= x/x-2.Show that there is no value c ∈ (1, 4) such that f'(c) = f(4)−f(1)/4−1.Why is this n...

A: Given: f(x) = x/(x - 2) Show that there is no value c ∈ (1, 4) f'(c) = f(4) − f(1)/(4 - 1) If f(x) i...

Q: dx dy =1.95. dt Given y = x. Find when y= 3 and %3D - - dt (Simplify your answer.) dt

A:

Q: The quantity of a drug in the bloodstream t hours after a tablet is swallowed is given, in mg, by q(...

A: Given:  a)     The quantity of a drug in the bloodstream t hours after tablet is swallowed is given ...

Q: 1- Find the vector P P2 and P2P1 a - P.(3,2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) P1(0,3,3), P2...

A: To find the vector P1P2 & P2P1

Q: Let f(x) = 4x^3 − 3x^2 − 18x + 5. (a) Find the critical numbers of f. (b) Find the open interval(s) ...

A: Answer is given below.

Q: Question 5 Find the value or values of c that satisfy the conclusion of the mean value theorem in th...

A: Use mean value theorem

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A:

Q: Find the Maclaurin series of each of the following functions by using one of the series listed in th...

A:

Q: The points (6, 9, 7), (9, 2 , 0) and (12, -5, -6) lie on the same line. True False

A:

Q: Let d be a metric on X. Determine all constants k such that the following is a metrie On X (a) kd, (...

A:

Q: Find the unit vector in the direction of v. v = -6.9i + 2.5j U =

A:

Q: Write down an equation of the tangent line to the graph of 2x-3 f(x) = at a= – 1 %3D X+4 y 11 y= 6. ...

A: Topic: function and derivatives

Q: Solve the initial value problem. d?y = 6-30x, y'(0) = 8, and y(0) = 4 dx? %3D y(x) = |

A: According to question,Given differential equation,d2ydx2 = 6-30x,y'0 = 8y0 =4

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A:

Q: | (r – 1)³ + 1, if x 2 1. Determine if g(x) = is differentiable at x = 2.

A: Checking continuity:=limx→2- g(x)=limx→2- (x-1)3+1  limx→2- g(x) =2Right hand side limit=limx→2+ g(x...

Q: The masses m; are located at the points P;. Find the center of mass of the system. m1 = 7, m2 = 2, m...

A: Given : The masses mi are located at the point Pi.m1=7   ,m2=2   , m3=9P1=(-8,-8)   , P2=(-9,-8)  , ...

Q: d'y dy y = aebx is a solution of %3D dx2

A:

Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3), P2(5,...

A: We can solve the given problem as follows:

Q: Explain the following true or false questions in full detailed sentences and answers. Explain your t...

A: 1. Answer true

Q: Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. 2 4n + 4n ...

A: To determine whether the sequence an converges or diverges. To find the limit of the sequence if it ...

Q: rert your original pair of complox pu

A: We have to convert in polar form of the given complex number

Q: Functions 1. The following table shows the most medals won by any country in the given year of the O...

A:   There are two relations: Relation 1: Olympic year and the number of the most medals by any country...

Q: Vn +1- Vn –1 Σ n n=1

A: Limit Comparison Test : Suppose that we have two series ∑an and ∑bn with an≥0, bn>0 for all n. De...

Q: Determine if the sequence {a) converges or diverges. Find the limit if the sequence converges. (-1)+...

A: Solution is given below:

Q: Find the coordinates of the point P on the line and a vector v parallel to the line x = 3t, y = 1 – ...

A: Given parametric equation of line x=3t, y=1-t, z=3+5t

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cub...

A: Solution ) volume of cylinder = 250 πr2h = 250 h = 250/πr2 Cost = 0.02( 2πrh ) + 0.02 πr2 + 0.06 πr2...

Q: ind two vectors in opposite directions that are orthogonal to the vector u. (The answers are not uni...

A:

Q: Activity 1. Slope of the Tangent The rate of change at any point on a function is the slope of the t...

A: We want to find rate of change of the function at the given point. 

Q: 2 - Find: (a) 3a ,(b) a +b , (c) a-b , (d) la + b|, (e) a- b|, (f) 3a – 4b and (g) | 5a + 2b|. If 1....

A:

Q: d²y dy y = e * is a solution of dx2 = 0 dx

A:

Q: Use the alternative form of the dot product to find u · v. ||u|| = 30, ||v|| = 50, and the angle bet...

A: Solution is given below:

Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+j3

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), В(-4, -5,...

A:

Q: In a lake, a large fish feeds on a medium-size fish, and the population of the large fish is given b...

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Given problem:- sets of parametric equations and symmetric equations of the line that passes through...

Q: Determine whether each point lies on the line. x = -2 + t, y = 6t, z = 4 + t (a) (0, 12, 6) O Yes O ...

A:

Q: Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 21, (1, 4, 2...

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

Q: (b) Sketch the vector with its initial point at the origin. Consider the following graph. 6 5- (4, 4...

A:

Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

A:

Q: In your notes, create an interval table for f(x) = x* - 8x? by testing values around the critical va...

A:

Q: Verify that the two planes are parallel. -x + 6y + 2z = 8 -x + 3y + z = 9 2. Find the normal vector,...

A: Find your answer below 

Q: Consider the points A(2, –3, 4), B(4, –5, 1), C(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of ...

A:

Q: Find the interval of convergence of the series k(x+ 2)* 5k+1 k=1

A: The given series is: ∑k=1∞k(x+2)k5k+1...(1) Let, ak=k(x+2)k5k+1; k≥1

Q: Consider the following. u = 9i + 4j, v = 8i + 2j %3D (a) Find the projection of u onto v. (b) Find t...

A: Given u=9i+4j, v= 8i+2j Aim To find projection of u on v We know that projection of u on v is u.vv=(...

Q: Determine the limit of the sequence an = (2n)^(3/n) or show that the sequence diverges. If it conver...

A: We have to check the convergence of the sequence  an = (2n)3n.

Q: dy Find a continuous function function y on (-0,00) satisfying -6/7 = 9x dx and y(-1)= -4. dy -6/7 T...

A: Given query is to solve the differential equation.