1. Find the area of the region bounded by the line y=x+7 and the parabola y=x^2+4x+3 and also illlustrate the graph.

Q: D) Find the general solution to the differential equation y"+5y" +6y+2y 0. Hint: Look for a rational...

A: Given differential equation to find general solution.

Q: 2 Find u, 3v, v – u, and 2u + 5v. | (7, 6), v = (4, –4) 2. (a) 3 (b) 3v (c) V - u (d) 2u + 5v

A: u=7i+6jv=4i-4ja) 23u23u=23(7i+6j)23u=237i+23*6j23u=143i+4jb) 3v=3(4i-4j)3v=12i-12jc)v-u=(4i-4j)-(7i-...

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

A: To find out the terminal point. 

Q: , evaluate the given double integral. I sinxcos(y – n)dxdy 10.

A:

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

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

A: Find your answer below 

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: Find dy/dx by implicit differentiation. exly = 4x – y

A:

Q: Distinguish Between Partial Derivative and Ordinary Derivative ?

A: ## Distinguish  Between Partial Derivative and Ordinary Derivative....

Q: Consider the following two series A = E and B= n=1 n=1 Which of the following statements is TRUE? O ...

A:

Q: Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate pla...

A:

Q: (c) Use regression in Desmos to check your answer to Part (b) by entering the table and typing expre...

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A:

Q: - 121, (11,-11) the correct graph below. O B. OC. O D. 20- 20- -20 w gmrm 20 -20 20 -20- -20 quation...

A: We will use the concept of tangent line.

Q: f(x) = 3x - 5x² 1. c = 2

A: Given: fx=3x-5x2  ; c=2   The function will be continuous at x=c when, limx→c-fx=limx→c+fx=finite va...

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

A:

Q: Find a) any critical values and b) any relative extrema. g(x) = x - 27x+ 56 a) Select the correct ch...

A: for (a) - critical values is +3 and -3  for (b) - the relative maximum point is x = -3 and relative ...

Q: he trigonometric function y =2 sinz-) We will fil out the table and plot S points so that we can see...

A:

Q: (d) Assume that a particular Android phone has a value, A(t), that is always $100 less than the iPho...

A:

Q: The radius of convergence of the series 2- is equal to ........

A:

Q: evaluate the given double integral. (1– y)x² dxdy

A:

Q: A box is constructed out of two different types of metal. The metal for the top and bottom, which ar...

A:

Q: In the given first-order differential equation below, xy – 2y= x2In(x), y(1) = 5 (i) Identify the ty...

A: Given a differential equation.  

Q: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

Q: 5. f(x) = [(x + 5)5 – 1]* %3D

A: Questiopn 5,Given,           fx=x+55-14To find : The derivative using the chain rule.

Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 2j +k as adjacent sides. %3D NOTE: En...

A:

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

A: Topic = Vector

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: N3 + 4 N4 N2 to evaluate the limit. 4 Use linearity and the formula 2 j=1 N 24 lim > N4 N→∞ i=1 (Exp...

A: This is a problem related to limit of the function based on the general formula and concept we will ...

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

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

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: Calculate R3 and L3 for f(x) = x² - 7x + 4 over [1,4]. (Give your answers as whole or exact numbers....

A:

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

A: Explained below 

Q: x² +6x, x< a Find all values of a such that the function, g(x)= is continuous 2x-4 , x2 a everywhere...

A:

Q: find the orthogonal trajectory of the family of curves r^n = a sin n theta

A:

Q: 2. The population of a small town has been growing and is shown in the table below t, the years sinc...

A:

Q: п — 3 - an

A:

Q: wing series is convergent or divergent using the appropriate test cos 3n (g) 1+ (1.2)" n=1 (h) (1+ 2...

A:

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and d...

A: topic - function and application of derivatives

Q: CHECK

A:

Q: Find the angle 0 between the vectors in radians and in degrees u = 9i + 5j + k v = 5i – 9j (a) radia...

A:

Q: Find the angle 0 between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) %3D | (a) ra...

A:

Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

A: To determine whether the given function is continuous or not.

Q: To prove quotient rule formula using the definition of derivative or limits, let the function f(x) =...

A:

Q: (2t+1)(2t-1) dt

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: (x³ +4) 4. f(x) = 3x*-2

A:

Q: xy dx (x² + 3y) dy = 0 -

A:

Q: 2. Set up triple integrals in cylindrical coordinates that compute the volumes of the following regi...

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

A: