1. If lul=lyl=2 and u+v+w=0, what is lwl? u, v, w are drawn below. u W

Q: 1) Find the Laplace transform of the following functions 1. e¹¹t+5

A:

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet)…

A:

Q: Let V R. For u, v EV and a ER define vector addition by uv :-u+v-1 and scalar multiplication by a Eu…

A:

Q: Find the product of -2 + 1i and its conjugate. The answer is a + bi where The real number a equals…

A: To find the product of  and its conjugate.Note: Since the student has posted two questions and has…

Q: Q-1: a) Using the definition of the derivative find dx of f(x) =

A:

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: given graph of a function to find limits

Q: Use Newton’s method to find the positive root of 3 sin(x) = x correct to six decimal places.   *Try…

A:

Q: Find two values of the paremeter k for which y(x) = ekx is a solution of the differential equation…

A: To find the two values of the parameter  for which is a solution of the following differential…

Q: [r³√x x³√x² + 1 dx V

A:

Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

A:

Q: all answers given are wrong , please can you check . thanks .

A: We knoiw that integration by parts, is given by

Q: For the following parts, do not round your answer at any point. For any  ?>0 , suppose that there…

A: given the fact that N>0 and ε>0we are given…

Q: c) Hence write down the indefinite integral: (Don't forget the constant of integration as this is an…

A:

Q: Determine limits, then analyze horizontal asymptotes

A: We have to use the concept of limits

Q: Find the quotient a+bi. 1 + 2i 7i The real number a equals The real number b equals and write the…

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

Q: Sketch the graph of the function. -2 f(x)=x-1 In(x) -1 if x ≤ 0 if 0 < x < 1 if x ≥ 1 y 2 y 1 2 X…

A:

Q: Sketch the graph of the following function and use it to answer the following questions. 6 if x < -3…

A:

Q: X x²-4 2.9 2x x 3 x 3 (b) (i) lim 2.99 2.999 (ii) lim x 3+ X 2.9999 2x 3 3 2x x-3-x-3 (iii) lim…

A: To find

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The upper curve is,The lower curve is,.The lower and upper limits are:

Q: Determine the sum of the following series. (3)"-1 8n n=1

A:

Q: Please help me with this question.

A:

Q: Find the difference quotient of f; that is, find f(x) = 3x² - 2x + 4 f(x+h)-f(x) h (Simplify your…

A:

Q: Sketch the graph of the function shown below. From the graph, find its domain and range. f(x) = xif…

A: The graph is shown below:

Q: Write the function whose graph is the graph of y=√√x +4, but is reflected about the y-axis. y =…

A: The given function is

Q: Using the following graph 4 31 2 AS -3 -2 -1 3 4 5 6 a) At which values does the function…

A:

Q: Consider the following. f(x) = √5-x 2x - 3 Find each limit. (If the limit

A:

Q: Determine the area of the surface of z = x² + y² that lies below the plane z = 4.

A: We have to determine the area of the surface.

Q: 2 if x > 0 -2 if x < 0 c. Find the domain and Let f(x) = a. f(-13) = a. Find f(-13) and f(11). b.…

A: The function is given as÷

Q: Given the series: Σ [In(2(k+ 1)) - In(2k)] k=4 does this series converge or diverge? O diverges O…

A:

Q: 2 2 Given the series + 9 81 2 729 Does this series converge or diverge? O converges O diverges If…

A:

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A:

Q: 6. Use integration to answer parts (a) and (b) below. (a) If f is continuous and f(x) dx = 10, find…

A:

Q: The plane 816 + y → 100 + N 10 = 1 intersects the x-, y-, and z-axes in points P, Q, R. Find the…

A:

Q: A concert loudspeaker suspended high off the ground emits 30.0 W of sound power. A small microphone…

A:

Q: Solve the IVP for y(x): dy 3 + -y=7y³, y(1) = 1 dx X y(x) =

A:

Q: csc^(-1)(-6.0233) Find the angle in radians.

A: To find

Q: Problems 5-8, Find the average rate of change of the function over the given interval. Write the…

A:

Q: Using separation of variables, solve the differential equation, Use C to represent the arbitrary…

A:

Q: 9. Find a function f such that ƒ'(x) = x5 + 20 and the line 12x + y = −20 is tangent to the graph of…

A:

Q: Provide me with the answer for part C

A: We have to evaluate the integral in part C.

Q: all answers given are wrong , please can you check . thanks .

A: To integrate the expression ∫(6x cos(x)) dx, we can use integration by parts. Integration by parts…

Q: Solve the equation. Give exact answers. Do not use your calculator. e2x - 5ex + 4 = 0 X = X =…

A:

Q: Solve the triangle. Round side lengths and angle measures to the nearest tenth when necessary. 0 0 0…

A:

Q: Consider the following. lim (3x) x-2 y 2 1 1 2 Use the graph to find the limit (if it exists). (If…

A: The limit of a function y=f(x) at a point x=a is the value y approaches as x approaches a from both…

Q: Consider the following. |x - 61 lim x 6 x 6 -10 y 4 2 -2 50 10 X Use the graph to find the limit (if…

A: we have given a graph of function in which at x=6 , function is discontinuous.we have to find the…

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Given

Q: Using separation of variables, solve the initial value problem, dy dx - x¹e² = 8e", y(0) = 5

A:

Q: Consider f(x, y) = x² - y²x - xy. The three crtitical points are (i) (0,0) (ii) (0,-1) and 1 (iii)…

A:

Q: How is 10 x 10 x 10 x 10 expressed in base 10? (Use^ to indicate 'to the power of) If (y/5)-3-8,…

A: We need to choose correct option for each problem.

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) ✔ x+3…

A: