dx Evaluate the integral / by completing the square and using x² + 4x + 20 trigonometric substitution.

Q: Express as a difference of logarithms. a log-

A: Property of logarithm: log(m/n) = log(m) - log(n)

Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y ...

A:

Q: Assume cos(t) = - where <t <a. Compute the following %3D cos(-t) = sin(t) = sin(-t) =U sin(-t) + cos...

A: topic - trigonometric ratios sin(-x)=-sin(x) cos(-x)=cos(x) sin2(x)+cox2(x)=1

Q: Given the function g(t) = (t-4)(t+3)(t-1) What is It’s g - intercept is: What is It’s t- intercept i...

A: The objective is to find g - intercept and it’s t- intercept .

Q: Let f(x,y) = (x² + (G))°. Determine the directional derivative of f at the point (1,0) in the direct...

A: Explanation of the answer is as follows

Q: sin' x dx cos x 18.

A:

Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

A:

Q: Evaluate the integral: /V13 – 49a*dæ

A: Integration

Q: Determine if the function is even, odd, or neither. State its symmetry, if a (a) f(x) = x° + 2x (b) ...

A: Given: a)f(x)=x3+2xb)g(x)=2x4-4x2

Q: 1. lim x +2x2 + 3x +7 X-3 2. lim (7-8x) (9x-11) x+2 3. lim 3x2 - Vã + 4x + 27 X-8

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

Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

A: Here, the given line is: y=-5x⇒yx=-51 So,  tan θ=yx=-51 (in II quadrant)⇒oppadj=51⇒opp=5, adj=1⇒hyp2...

Q: 4. Find all the first partial derivatives of the following functions with respect to each variable. ...

A: For partial derivative, we only differentiate with respect to one variable keeping other variables a...

Q: 6. A water tank is shaped like a cone with the apex point at the bottom, where the cone has radius 5...

A:

Q: (b) If f(x) = anx", specify the domain of f. %3D

A:

Q: months

A:

Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

A: I am attaching image so that you understand each and every step.

Q: c x(x²-x+2) dx is equal to 3

A:

Q: Evaluate the expression. 3 4 O A. -81 O B. 81 Ос. 81 1 O D. (-81)

A: We can find the answer as below in simplified form.

Q: k-1 Since the series can be rewritten in the form it is a geometric series with: k=1 a = r = Give ex...

A:

Q: 1. Find the determinant of the following matrices by using elementary row operations. 4 -7 9 1 6. (d...

A:

Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: A rectangular garden of area 480 square feet is to be surrounded on three sides by a brick wall cos...

A:

Q: differential

A:

Q: 5+ 4- 3 1- -5 /-4 -3-2-1 1/2 3 4 5 -1 -3 -4 -5+ 2.

A: The graph of the polynomial is 

Q: 12) In Problems 12 through 14, given [ xa ]'= a xa-1, where a is any real exponent. =(x-1) =. Find A...

A: According to bartleby guidelines I can only answer the first question only question (12). Please rep...

Q: Question 7 If 1 = (6,9) and v2 = (2, 6), then find 30, + 202. Type your answer in component form, (...

A: Topic:- vector addition

Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: and stra ight and x:8 Let R be an area enclosed by a curve. : 1 Using the disc method, which is the ...

A:

Q: (y? cos x - 3x2y - 2х) dx + (2y sin x - х3 + Iny) dy %3D 0, when x 3D 0, у %3D е

A:

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: (-1)"n For positive integer n, let an = 3" Determine whether the sequence {a,} is convergent.

A: Determine whether the sequence is convergent ?

Q: 2 3 хе dx

A:

Q: solve the differential equation. (x - 2y + 4)dx + (2x - y + 2)dy = 0

A:

Q: Find x' for x(t) defined implicitly by x* +t"x+t-3 =0 and then evaluate x' at the point (- 1,1). ......

A:

Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

A:

Q: 1. Solve the triangle. Include all possible triangles. Round each value to one decimal place a = 3, ...

A:

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

A: The figure is shown below: △ABC represents triangular lot.△DEF represents traingular building

Q: y" - 3y' + 2y = 0 Find the General Solution:

A: y''-3y'+2y=0This is 2nd order differential equationAuxillary Equation is :m2-3m+2=0solvem2-2m-m+2=0m...

Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute u=2x→d...

Q: 22. State True or False. Let f(x)=sin'(x) + log(x) then domain of f(x) is (-*, ). a) True b) False

A: To check whether the statement is true or not. The statement is Let f(x)=sin2x+logx then domain of f...

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

A:

Q: Consider the following equations. f(x) = Vx + 5 %3D g(x) = x + 5 Sketch the region bounded by the gr...

A:

Q: Find the area of the surface obtained by rotating the curve y 5æ? about the y axis for 3 < x < 8 - N...

A: Given: y=5x2

Q: Poblam cu (a) Compute Cm 2月-/ where xe [-,]. (1) 2n 2n-1 where ze C-1,1]. (b) Gompule Cm z nっ%

A: (a) 

Q: Solve dy 2 3y dx 2.x ||

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y a...

Q: (b) Find an operator A that annihlates the following functions. i. In(x) ii. to , α ε R iii. sin(3 I...

A:

Q: (b) If f(x) = E anx", specify the domain of f. n=1 Based on your answer in Question 2(b), explain wh...

A:

Q: Find the magnitude ||i|| of the vector i = – 4i + 9j. Round your answer to 2 places after the decima...

A: If  v →= v1 i^ + v2 j ^  then v→ = v12+v22.

Q: If ö1 = (3, – 3) and v2 = (– 8, 8), then find 601 + 702. Type your answer in component form, (where...

A:

Q: Find dy of Using first principles

A: