Find the solution of the differential equation that satisfies the given initial condition. dy y(0) = -4 dx

Q: For what Vatuer of the Constant (k) that the funetion fayt=x'+kxy+y will have a Saddte Point b-1ocal…

A: Given

Q: 4. Given f"(x) 2x(x²-3) 2+1) find all intervals of concavity and x-values of any inflection points.

A:

Q: 1. The hiking trail starts at the foot of a steep hill that follows a trajectory described by the…

A: Find your answer below

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 24) V = a = b =

A:

Q: Find the exact area of the surface obtained by rotating the curve y =x2, 3 0<x<12, about the y-axis.…

A:

Q: of

A:

Q: 2. Given f'(x) =p find x-2)=" a) the values of all critical numbers b) intervals of increase and…

A:

Q: Just algebkaiçal fing the inverse function of f in formally VeRify that f(e10)) =x and

A: Here, to find the inverse of each function and then verify f-1(f(x))=f(f-1(x))=x

Q: If f (z, y) — е"у, then fr (1, In (3)) —??? (а) е (b) e³ (с) 1/3 (а) 3 (е) 3ln (3)

A:

Q: Express the repeating decimal as the ratio of two integers. 0.02 = 0.0222.. The ratio that…

A:

Q: 8. Find f(x)dxif fx)dx = -5 and f(x)dx = 7 %3D 8. f(x)dx

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Solution is here

Q: Activity 2. Let's Optimize! Directions: Solve the problems below. Show your complete solutions. 1.…

A:

Q: cot (3x) За co dx csc 3x + 1

A: To evaluate the given integral.∫cot33xcsc3x+1 dx

Q: Find the length of the curve defined by y = 3 In 3 from x = 8 to x = 9.

A: Use derivative of function and length of curve formula .

Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

A:

Q: solve the bernoulli equation dx +1x' + = 0 +tx dt

A:

Q: 16 2. A light at the top of a 16 ft. pole. A man 6 ft. tall walks away from the pole at a rate of 5…

A:

Q: A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating…

A:

Q: The graph of the function f is shown below. Which statement about f is true on the interval (-9,9]?…

A: This question is related to Functions, we will solve it using given information.

Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

A:

Q: 34. f (г) — 1 ; с34

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: Learning Task 1: For the given functions f(x) and g(x), find ( ° g)(x) 1. f(x) = x² and g(x) = x + 5…

A:

Q: dy 1+y+1

A:

Q: 1)Given that : f ( x ) = x3+9 x2/2 +6x-3 Find the critical numbers. b)Find the interval(s) where…

A:

Q: æ = 4;y = t-1»Y t² – 1|

A: Use the following derivative formulas:ddxxn=nxn-1ddxfxgx=ddxfxgx-ddxgxfxgx2ddx ( f(g(x) ) = f'…

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 2. Y= 2 Arccos (1-)+ v4x – x?

A:

Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (6, –5) + t(1,…

A: we can solve this as follows:

Q: B. If the measure of arc AB is 50 degrees, what is the measure of angle ADB? O 25 degrees 90 degrees…

A: As we know the degree of the arc is equal to the measure of the central angle that creates the arc.…

Q: Find the area of the shaded region. r = 3+2 cos 0 r = sin 20

A: Area of polar region =                                    integration of r^2/2 d(theta)

Q: 2Tx [e?n* + 23c] dx

A:

Q: Given vectors a = (-1,-2),5= (-2,3), c= (3,-1),đ = (-3,2) find the dot product of 5 and d. -12 -1 12…

A:

Q: Integration by trgonometric substitution 1. S_dx (4x-x2) ³12

A:

Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

A:

Q: Calculate the Maclaurin series expansion of x sec x. Give the first three terms.

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: Seax sin bx dx

A:

Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =&lt;1,2&gt; vector b =&lt;2,-1&gt; Find :- 4a-3b

Q: Imagine that the number line shown below is balanced on a fulcrum at the point x = 0. Two points are…

A: Here, given weight are W1=250, W2=400,W3=2133.33 Here, d1=4, d2=5.5 are the respective distances of…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Approximate / 1+r² dr using four rectangles and the left endpoint method (L4).

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: We have to find the parametric equation and the symmetric form of equation of the line passing…

Q: Suppose we have f (x, y) = x + 1' What is the level curve for f (x, y) = 5 ? (a) a parabola (b) a…

A: Let's find.

Q: 3.(Straightforward) Solve the separable ODEs: (a) dy/dx = y/x².

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

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: Find the Cartesian equation of the parametric equations x = a cost y = b sint 0<t< and identify its…

A:

Q: sint dt de + 0 cos t – tan t

A: