Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1 Increasing: Decreasing: 1 1 2

Q: Let C be the curve f(x) = the length of C, as follows: In(x) X 2 4 - between x = 1 and x = e.…

A: Arc length

Q: Part b pls

A:

Q: Determine the solution of the following differential equation d) xy' + (1+x)y = ex sin(2x)

A:

Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

A:

Q: A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is…

A:

Q: Question Find the Laplace transformation s²+2 S3 L {f(t)} if f(t)= (t + 1)² ? O None of them…

A:

Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

A:

Q: Solve the following initial valuc problem using the method of Laplace transforms y" - 4y + 5y = 8c³;…

A:

Q: Suppose c is inversely proportional to the square of d. If c = 8 when d = 2, find the constant of…

A: Function

Q: 13) y = [X²+2x-1'; dy = ? A) X+ Xt y B) 4y (x+1) (XH) (x²+2x-1) 3/2 D) - () ㅗ 2\x²2x-1

A: Question number 13 solved

Q: Differentiate the function. f'(v) = f(v) = 3 √√√v - 3vev V V

A:

Q: 11 . (870), they y equals; c) 3 mx 7) + y = x² lux, (X>0), they q) 3+hX D) 3+3nX B) 3+2nX E) 2+X+X

A:

Q: Find a Cartesian equation for the curve and identify it. cos(20) = 1 O limaçon Ohyperbola O circle O…

A:

Q: Consider the function f(x) = 6x2−4x+ 5 and the interval 1 ≤x ≤6. Find the number c that satisfies…

A:

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the inclined portion of the…

A: Given query is to find indicated angle.

Q: y = x^ex

A:

Q: ector v is shown in the graph. -10 6 (-5, 12) 00 15 6 4 7 3 N O v = (-5, 12); ||v|| = 13 T 13 لمه 12…

A: Vector

Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

A:

Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

A:

Q: -X d) xy' + (1 + x)y = e¯* sin(2x)

A:

Q: If g(x) = f* √u² + 2 du, what is d²g / dx²? 0

A:

Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

A:

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: Find the general solution of the D.E. (4D³ − 3D+1)y=0. Ⓒy=c₁e²x+c₁₂e-²x Ⓒy=c₁₂e-*+c₂e² Ⓒy=c₁e²+c₁₂e…

A:

Q: Find the slope of the curve at the given point. 3y⁹+8x8 = 2y + 9x at (1,1)

A: According to question,Given curve,3y9 + 8x8 = 2y + 9xat given point 1, 1

Q: 7. The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A:

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

A:

Q: Two oil tankers crash in the Pacific Ocean. The spreading oil slick has a circular shape, and the…

A: We need to find radius and area.

Q: Find the equation of the line through the point (-5, 4) and perpendicular to the line y = 2-5.…

A: In this question, we want to find a equation of the line perpendicular to the given line passing…

Q: 2. Find an equation for the tangent line to the cycloid x = et + 3, y = t² et - 3et + 2 at the point…

A:

Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: Use geometry to evaluate the following integral. 5 frixe 1 f(x)dx, where f(x) = 2x if 1≤x≤2 6-2x if…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  first we need to…

Q: Find the average rate of change of the function over the given interval. P(0)=03-202+60; [1,2] ΔΡ ΔΘ…

A:

Q: Find the derivative of the function. y' = x cos - x cos-¹(x) y = √1-x² 1- x² -

A: Given that y=1-x2-xcos-1(x)

Q: Find the general solution of the homogeneous differential equation (D³+2D²+D+2)y=0

A:

Q: Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the…

A:

Q: Question Which of the following is the Laplace transformation O L {f(t)} if f(t) = (cos(-3t))² ? s²…

A:

Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= ax…

A: According to question, Given Function,gx = axif x<0x2-7xif x≥0

Q: 2 Find the area between the graph of y = 5 – 5x³ and x-axis and − 1 ≤ x ≤ 8 using properties of…

A:

Q: Graph the circle given below by moving the key points: To graph the circle, drag the center point to…

A:

Q: 6. Given that (a) sin csc x=3, 90° <x<180° find X 3+2√2 6 ×IN Answer: sin- 2

A:

Q: √2² This can be transformed into a basic integral by letting Consider the indefinite integral U= du-…

A: We have given an indefinite integral  ∫x5·x6-24 dx Let,  u=x6-2 du=6x5 dx So, integral will be…

Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 22) Determine the value of f(t)dt given that £15 f(t)dt = -10 and 5,5 f(t)dt = 9.

A:

Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

A:

Q: If f(x)= f'(x) = = tan z sec x -4

A:

Q: Differentiate. f'(t) = f(t) = 8t t³t-1

A: