Find the area under the graph of the function over the interval given. 13) y =ex; [-9,4] A) e 13 B) e 4+e9 C) e4-e9 D) e 4_ 1

Q: Inside r, = 3 sin x but outside r, 1+ sin x

A: This is a problem related to area calculation by integration. Based on the given graph we will…

Q: solve for two cases . | csc²20 cot 20 do

A:

Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: The ladder 7.5 meters long is leaning agains the wall of a house.  The base of the ladder is being…

A:

Q: 1. Obtain the general solution unless otherwise instructed d²y 1. y = 10sin²x dx2 %3D - SUMMARY OF…

A:

Q: Consider the two series: 2n + 3 (а) n² In n n=1 00 1+ (n – 1)! (b) E n! n=1 Which of the following…

A: 1) Hee, note that the first series first term it self a infinity.

Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

A:

Q: number 3 please...clear solution

A: Topic:- limits calculus

Q: S V25 – 4x2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Lagrange Multipliers will be used in order to solve the following: Maximize f(x, y, z) = 4x + 2y + z…

A: We want  to maximize the function.

Q: Write each of the other trigonometric functions of e in terms of cos(e). (En sin(e) = V1- cos (0)…

A: P

Q: (x+68y)e dydx %3D 1J0

A: This is a problem related to double integration. based on the general formula of integration we will…

Q: The volume of the solid bounded below by the xy-plane, on the sides by p-33, and above by

A:

Q: Use the conditions csc(e) = and tan(e) < 0 to find the values of all six trigonometric functions.…

A:

Q: Problem #6: Find the equation of the line tangent to f(x) cos? x – sin? ( at x =

A:

Q: Work Problem .. Question 1.. a) ]: Show your work. e]: Determine whether the series 1 Σ n=1 (2n- 1)4…

A: This question can be solved using the concept of integral test for first part and root test for…

Q: Find the divergence of the following vector field. F= (3xyz, - 2xy z, - 4xyz?) %3D The divergence of…

A:

Q: dy Do not simplify your answers. dx IV. Find Vsec-1r sin æ 1. y = (use logarithmic differentiation)…

A:

Q: Find 8 L-1 s2+4s+20.

A:

Q: Obtain the Taylor series expansion of f(x)=e*+1 at a=0.5(the center of expansion) %3D Howlarge can…

A:

Q: Suppose a curve is defined by the equation 16(?2+?2)=45.16(x2+y2)=45. Show that if you translate the…

A:

Q: Evaluate the integrals in the following questions using integration by parts For O cos T0 do

A:

Q: Express the following sum.. using sigma notation. 1 d. 9 1 Σ 12 + + + 10 11 k= 1

A:

Q: 5Sine cose do 4. Sin²e+ 3sine - 4

A: Given problem:-

Q: 6. Solve the differential equation: 2хydx + (x? - 1)dy -D 0 A. x'y - 1 = C B. x*y - y = C С. x' y =…

A:

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). (4, -7) sin(2u) -0.87 |x…

A: Topic:- trigonometry ratios

Q: Evaluate the integrals in the following questions using integration by parts For Soc 0 cos T0 do

A: Explanation of the answer is as follows

Q: Q2: Find a root of x – 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

A: We have to find the root of given function by Newton Raphson method.

Q: If f(x, y) = y cos(x) – x³ In(y), find the second partial derivative dy dx

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r² +y…

A: Max   f(x,y,z)=4x+2y+zsubject to x2+y+z2=1

Q: 12. Find the inverse Laplace: Lª 1 |(s- 4)ª [* et А. e443 В. e44 e43 D. 6 C. E. None 24

A: Inverse Laplace transform shifting property:

Q: Find the vertical asymptote(s) of the graph of the function. -2 3. (0) -+3)

A: Find vertical asymptotes

Q: 1- v extends from (0,0) to (-3,2). Vector W extends from (0,0) to (-3,5). a- Find the magnitude of V…

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

Q: x = y+ Vz? – y² O y = x cos(ln|æ|+ C) O y = = sin(ln|æ| + C) sin -In|피 3 C cos-" (2) – In|æ| =C

A:

Q: Solve the following indefinite integral. Show complete solutions. Please make sure that your…

A: Solving the problem by finding the value of integration.

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A:

Q: Determine whether the series converges or diverges. Σ n2 + 5 n = 1 converges O diverges

A:

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

A:

Q: 7x +4 1+1 if I1 1. Evaluate f(-3) (A) –17 (C) 11 (B) 10 (D) undefined 2. Evaluate f – 2() (A) –10…

A: Topic:- function

Q: Find the differential equation having as solution of y = x sin(xtc) .

A:

Q: (D2 + 4)V=4 cot 2x

A:

Q: ) What number is next in the equence? 2, 4, 16...

A: What number is next in the sequence? 2, 4, 16 ...

Q: B- derive expressions of the height, flight time and range of a projectile in terms of the initial…

A: We need to derive formula.

Q: -3 0 5] 1-3 0 5 18) 00 0 1 1 00 0 0 0 A) 5 B) 4 C) 3 D) 2

A: Consider the matrix

Q: 2 and v2 = 3 be Work Problem 2 : Let vj = two vectors in R?. (a) i Determine whether v = belongs to…

A:

Q: Part (2) Double Integration in Polar coordinates: 1) Find the area of the region cut from the first…

A:

Q: Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Here we have to use the logistic growth model. I have appended the formula used in the solution part…

Q: Consider the function f(x) = : x2. (a) Find the intercepts of the graph of f (if any). (b) Find the…

A:

Q: Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(3,-2, 2), Q(5, 1, 5),…

A:

Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. a. te-3t +…

A: