Find the particular solution of the differential equation that satisfies the initial condition(s). (Remember to use absolute values where appropriate.) f"(x) = , f'(1) = 4, f(1) = 5 x2' f(x) =|

Q: Find the area of the shaded region. The image is not to scale. x=-Cy x=d- y? Consider c=1, d32.…

A:

Q: 4. f(x) = sin xand g(x) = 2x 5. f(x) = x² + cosx and g(x) = 3x + 4 Guide Questions: 1. How did you…

A:

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

A:

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) C=-3 2 -5 -3 -2 -1…

A:

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

A: After solving the problem, we get only one equation. But, there is three variables. So, we have to…

Q: 11.(Straightforward) Find a particular solution to each of these by using the method of variation of…

A: Since we are given with multiple number of subparts, answered according to the guideline

Q: The area of the region bounded by the x-axis and y=7x-x2 is revolved about the x-axis. The volume of…

A:

Q: Find the area of the surface obtained by rotating the curve x = 3 (y + 2)3/2, 1 <y< 2, about the…

A:

Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: 1 x (In x)3

A:

Q: . Determine the values of a, b, and c such that the function f(x)=x²+ax² +bx+c has a y-intercep of 1…

A: Solving question

Q: (5n Explain why the statement "if cos , then -1 COS is true or false.

A:

Q: (a) The graph of a piecewise function, ƒ (x) is plotted in Figure 1. Discuss the continuity of f (x)…

A: Given

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A: Given problem:- A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder…

Q: Find the solution of a given the BE + =

A:

Q: The base of a three-dimensional figure is bound by the semi-circle y = V9 x. Vertical cross sections…

A:

Q: Cost 3x dх

A: The objective of the question is evaluate the indefinite integral.

Q: Find the volume of the solid generated by revolving the area of circle: (x-2)²+y²=4; about the x…

A:

Q: 10. complete and

A:

Q: cos x 3. y = tan (3x)cot (3x) 4. y = 1+sin x 5. y = arctan (3x5) 6. y = x arcsin x + V1- x²

A:

Q: sinx Cosxdx

A:

Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: Given: -8 17 cose 15/17 -8/17

A:

Q: Solve the problem below. Be sure to show all calcula- tions. Explanations given to justify your…

A:

Q: Find the interval of convergence. 00 (x + 6)" (n In(n))2 n=2 (Use symbolic notation and fractions…

A: limn→∞ an+1an &lt;1limn→∞ (x+6)n+1(n ln n)2(n+1)ln(n+1)2 (x+6)n&lt;1limn→∞ (x+6)n ln nn+1…

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 3y + z = 4 x + 4y + 3z = 1 O…

A:

Q: ) of the plane and the line. (If an answer does not exist, enter DNE.) =2-5 10 plane. e nlane

A:

Q: Exercise 1. Solve and Describe The scores of individual students on a national achievement test have…

A:

Q: r = 4 sin 0 – 2 cos e by finding a Cartesian equation of the curve. Find a polar equation for the…

A:

Q: 2) Choose one of the following options, which interprets best the area under f(x) on the interval 12…

A:

Q: Evaluate the following rational function with the following (a, b, c, and d). 5+3x*+4x3-13x2+13x-1…

A: Let's find.

Q: Bx Bんt2

A:

Q: 3- 4- f Cx,y) = 2 Lux +Lny-4X-y

A:

Q: (b) Given -3x + P for x7 Determine the value of p if f(x) is continuous at x=7. TEST DMI123

A:

Q: Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as…

A: Explanation of the answer is as follows

Q: Find minima, bmakima and Sndtle pointr for the funetionss fex,y)=4x 6xy+ 5y- 20 x +2by…

A: a) If df/dx=0 , d2f/dx2&lt;0 at x=a then fx attains maxima and maxima  value is f(a) . b)   If…

Q: Consider the function f(x) whose second derivative is f''(x) = 10x + 3 sin(x). %3D If f(0) = 2 and…

A:

Q: Answer the following about the function f (x) = (1/3)x^3 − (1/2)x^2 −2x + 1 1.Find intervals for…

A:

Q: 38. f («) — е -3a; c= 2

A:

Q: Scacix dx

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. бх — 5y + z %3D4 x + 2y + 4z = 1…

A:

Q: If the multiplicity root m = 2 which wil converge faster newtons method or biscection method? Give…

A: The multiplicity of the root is 2.  Hence, the curve will either remain on the one side of the…

Q: The function g(x) is defined for-3 5xs3. The behaviour of g'(x) and g"(x) is given below. -3 <x<-2…

A: Given problem:-

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

A: Given: I=∫08dxx3   As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1

Q: 1. Which of the following is the solution to the equation below? cos? æ + 3 cos a – 4 = 0 x = 1+…

A:

Q: 2)Given :f ( x ) = 2x3-3x2-36x+14 Find the critical numbers.b)Find the relative (local) extrema.

A: Given,            fx=2x3-3x2-36x+14To find : a Find the critical numbers.                 b Find the…

Q: Consider the following. 2|x- 91 X - 9 f(x) = Find the x-value (if any) at which f is not continuous.…

A: The given function,   f(x)=2x-9x-9 Note:      Multiple questions are given, we are answer only one…

Q: 22. f (x) = e² + sin x

A: The given function is f(x)=ex+sinx .......................................... (1)

Q: g(x)=arcsec(4e^x) Find the derivative

A: Find the derivative of the function.      g(x)=sec-14ex

Q: (2x-4y)dydx 3.

A: