10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

Q: 04: Find dy/dx for the following function: (1) y=sinh-1(tanx)

A: Given problem:- y=sinh-1(tanx)  Find dy/dx

Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations.…

A:

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A:

Q: All Solve the following by L apace transformy" + 4y' + 3y = 0 ,y(0) = 3 y'(0) = 1

A: Given :y''+4y'+3y=0 y(0)=3 and y'(0)=1

Q: A movie stuntman receives an annual salary of $110,000, but becomes a quadriplegic after jumping…

A:

Q: 3- If √secx + 5cosx find y

A:

Q: 3x+2 2+9x+1 dx

A:

Q: 3. The point zo = 1 + i is Zo |z| ≤ 1? A. an interior B. a boundary C. an exterior D. an isolated…

A:

Q: Which of the following statement is TRUE? (i) If Σα o an = and bn = then Στο bn n=0 2 an 3 (ii) If…

A: Solution is given below:

Q: d.x (1) √₂√(1+√5)²

A:

Q: 4) 4 6 9 тоон 3 -3 2 -2 0 0 Х2 X3 ХА 44 66 124/

A: The given system of equations,1-13-240-30602095-25x1x2x3x4=-14466124

Q: QUESTION 16 hexagons can form a tiling of the plane. A. All OB. No C.Some

A: Option (C) is correct.See below the answer and explanation

Q: 06: b: dw (1) Find if dt w= w = tanx and x = 4t³ + t.

A:

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A:

Q: Sir Lancelot 40 TO 54° X = Sir Robin 1000 4x-12 X= 26° Sir Galahad C X= Sir Bedivere 16 16 9 2x + 34…

A: Concept: Secant and tangent: A secant line connects two or more curve points.A tangent line only…

Q: Solve dy +4y=2 dx

A:

Q: Find the Wronskian of the functions f(t) = 3et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

A:

Q: Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0

A: Please see the below picture for detailed solution.

Q: Evaluate the integral. 1 √2√2 ²² √2-4° dt t³

A:

Q: Differentiate: 3. y = log₂ (x¹ - x)

A: y = log9(x4 -x) here logerithmic function is given  dlogax/dx = 1/x(lna) use this formula and chain…

Q: 05: Solve the following system of equations by Gramer's Rule. 2x - 4y 0 x+y+z=1

A: Use Cramer rule to solve the system

Q: Find the partial derivative of z with respect to x (32) for z = (3x² + 1) cos(x²y) O None of the…

A:

Q: In Step 2, why did you multiple the 1st equation by 1, and the 2nd equation by 2 then adding. Rather…

A: We have to tell why in step 2 multiply the 1st  equation by 1, and the 2nd equation by 2 then…

Q: Find the domain of the following function. 5 f(x) = 81-x² The domain is (Type your answer in…

A:

Q: TC d) x² sinx dx e) ₁x² Inx dx f) so xe dx

A:

Q: Part 2. Find the Standard Equation 2. circle with center at (4,-5), diameter is 6

A: Standard form of Equation of circle is {(x-h)^2}+{(y-k)^2}=r^2 Where, h,k = center of circle =…

Q: Find the absolute minimum and absolute maximum of the function f(x) = (x2 − 1)3 defined on the…

A:

Q: Q5-Show if the following series are converging or diverge π 1) Σ=1 η 10 Σ=1 (33) 1 της 2) 3) Σ=1

A:

Q: (6) Solve the following differential equations of 1 xy³dx + (x²y² +1) dy = 0

A: To solve the differential equation.

Q: 1. S^₂(x²-x)dx

A: Find the integral

Q: Question Find F" (2) given that F(a) = *(1+2²)¹³ (1 +15) ¹5 dt. (Do not include "F" (a) =" in your…

A:

Q: The point (-1,-4) lies on the circle whose center is at (3,-1). Write the standard form of the…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: 5) The function A(x) = A₂e-0.0077x models the amount in pounds of a particular radioactive material…

A: Both 5 and 6 has been solved as per the request of the student.

Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: given foci =(-2,-5),(-2,7) vertices=(-2,-4),(-2,6)

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x(40x²…

A:

Q: Solve the following differential equations of 1-(x+3x' sin y) dx + (x* cos y)dy =

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: (x) (x) How?! (x) (x) = (2x+3) (x) = (x+3) रे (2x+3) २ २ - D (2x+3) [₁ + [+] 2x+3 २ _2x +5 २ 1 +..…

A:

Q: Q2-Solve the differential equation dy = - y xcos² (-) dx

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

Q: To measure a stone face carved on the side of a mountain, two sightings 850 feet from the base of…

A: Height and distance

Q: X (X+2)5 d x

A: Explanation of the answer is as follows

Q: Ⓒa Given f(x) = 4- ; x ≤ 1 ; x > 1 Find k if Skf(x) dx = -1.

A: Since the student has posted multiple questions and has mentioned to solve question number 1 and 4.…

Q: Q3/A/Find the surface area generated by rotating the curve y = cos h(x) about x axis for 0≤x≤1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

A:

Q: Find dy/dx for the following function:: √y-etanx = 2

A:

Q: Solve the following differential equations of 3x d'y dx² +9y=2e³x +18x+18

A: We need to solve D.E.

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A:

Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

A: We have to find derivative of given trigonometric term.

Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 X x>0

A: Solution is given below:

Q: Consider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: Consider the vector between (-2,-5, -3) and (5, 10,7).

Q: (2) Show that y = x sinx is a solution to y"+y= 2 cos x.

A: