15. Consider the curve y 9 X + 1 x-1 Find the x-coordinates of the points on the curve where the gradient is zero.

Q: 4. If cos x = -2/3 and x is an angle with terminal side in Quadrant III, use the identity sin² x +…

A:

Q: A plane P₁ in R³is perpendicular to the vector n = (6, 9, 6), and contains the point (-4, 1,6).

A:

Q: Determine the point (x, y) on the unit circle associated with the following real number s. Write the…

A:

Q: 3 If f(x) = (5x − 2)³. (5x² + 4)³, find f'(x) - using logarithmic differentiation.

A:

Q: Evaluate s's' √y³ +1 dy dx

A:

Q: 12. Consider the fun. four important ir A, and C are the defined at BP of garabre will not Find A…

A: Given function  f( x ) = 6x + 8x-1We can find the critical points by f'( x ) = 0

Q: provided in clear format please

A: The given function fθ=2sinθ-9secθtanθ. We have to find the antiderivative of the function. Formulas…

Q: Consider the function f(x) www x² - 2x - 3 x + 5 a. Find the first derivative. f'(x) = b. List any…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Write the e-system obtained via slack variables for the given linear programming problem. Maximize P…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the equation. 3 xét tốt dx dt An implicit solution in the form F(t, x) = C is =C, where C is…

A:

Q: Find the cross product a x b. a(t, 2, 1/t), b =(², ², 1) Verify that it is orthogonal to both a and…

A:

Q: √x³ X x² + 1 dx

A: ∫ x5x2+1

Q: Find all local extreme values of f(x) = 2 3 x + 8x² 30x50. The FIRST local extreme value, moving…

A: Given: f(x)=-23x3+8x2-30x-50 To find the local extreme values of a function, we differentiate the…

Q: Construct the exponential model that satisfies the given initial value problem. dy dx an 0.4y, y(0)…

A:

Q: 8. A stone is d ground with high (in feet) i Note the 32 ft sec² Cr

A: v = 2ghWhere v = velocity g = acceleration g = 32 fts2h = initial height

Q: 2.1 Consider the region between the curve y = 2² and the x-axis on the interval [0, 2], shaded…

A: Curve y=x2, x=0, [0,2]

Q: Determine if the function is continuos. If the function is not continuous, find the x-axis location…

A:

Q: .) Find the derivative of y = x(2x - 1)³

A: y=x2x-13

Q: Find the derivative(s) of the explicit solution(s). dy (Use a comma to separate answers as needed.)…

A:

Q: The angle of elevation of a flying kite is 77°11′53″ . If the other end of the 198 -foot long string…

A: Given: The angle of elevation of a flying kite is 77°11′53″. The other end of the 198 foot long…

Q: Explain the meaning (by using intuitive definition) of each of the following equations. tan x (a).…

A: Given,limx→0 tan(x)x = 1we need to explain how we get this.as x→0 , tan(x)→0 and x =0 so, we get the…

Q: If f(x) = e* and g(x)=xe-e-*

A:

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A:

Q: 5. Sketch: y=2sin(t) {two cycles} Step one: Find the length of one cycle: Step two: Break cycle into…

A: To sketch the function y=2 sinπ2t for two cycles.

Q: 3-9-34

A:

Q: Use the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A:

Q: The piece-wise function, f(x), is given below. Find values of a and b that would make f(x)…

A:

Q: The marginal cost of producing the xth box of CDs is given by 12 - x/(x² + 1)². The total cost to…

A: We have to find the total cost function C(x) . Given that total cost to produce 2 boxes is $1100. We…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 6x², x = 1, and y = 0,…

A:

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots of multiplicity 1…

A:

Q: S²10 f(x) dx = -10, Use these values to evaluate the given definite integrals. 2 1) ²³ (f(x) + g(x))…

A:

Q: Jx³√x² + 1dx

A:

Q: Determine the amplitude of the function whose graph is given below. Give your answer in exact form…

A: We are required to: Find the amplitude of the function whose graph is given below.

Q: (a) S₁ 2 x² - 2x dx (0) 1/2₂ dx (c) .f x¹ ln x dx, n ‡ −1

A: (a) Here, we have given an integral, I=∫122x2-2xdx. To integrate ∫122x(x-2)dx, we can use…

Q: Fast pls solve this question correctly in 5 min pls I will give u instant 3 like for sure Mnty…

A: Given function g( t ) = t - t( t )18 Formula used ddxxn = nxn-1

Q: Find parametric equations for the line segment from (10, 4, 1) to (6, 6, -1). (Use the parameter t.)…

A:

Q: Evaluate the integral. Check your result by differentiation. (Remember the constant of integration.)…

A:

Q: Use the given vectors to answer the following questions. b = (-1, 1, 0), c = (0, 0, -5) a =(4, 2,…

A: We have to find the vector triple product.

Q: 5. P(x) = {² 17 dt S f" (14) = { " I dt. litt's

A:

Q: A manufacture has been selling 1300 television sets a week at $360 each. A market survey indicates…

A: A manufacturer has been selling 1300 television sets a week at $360 each. A market survey indicates…

Q: Consider the one-parameter family of functions given by g(x) = xe¹-Ax where A > 0.

A:

Q: Find the area of the part of the plane 3x + 2y + z = 6 that lies in the first octant. Step 1 The…

A:

Q: A rectangle has one side on the positive x-axis, one side on the positive y-axis, one corner at the…

A:

Q: In a upcoming Blues Music Festival, Caring Catering has been granted exclusive rights to cater all…

A: To find out the quantity that will maximize the profit, the selling price at that quantity and the…

Q: 12. At which point A, B, C, D, or E on the graph of y = f(x) are both y' and y" positive? (a) A (b)…

A: Consider the curve

Q: 1. For all n > 2,¹ 1, e, 4. For all n > e, arctan(n) n³ In(n) n In(n) >, and the series n >, and…

A: we are not allow to solve more than 3 subpart in each question.  Thank you

Q: Find f(x + (x + 2)(x − 7)dx

A: We know that the integral of x^ndx =x^(n+1)/(n+1)+C  Where C is an constant

Q: Find the indefinite integral. (Use C for the constant of integration.) [ 14. (4 + x + 2ex) dx

A: We need to find indefinite integral ∫(4+x+2ex) dx We know from integration formulas that, 1. ∫(a)…

Q: At time t (in minutes), an object's distance (in meters) from a point is given by s(t) = cos(+1 (a)…

A: the objet's distance s(t)=cos(t2+1)where,s(t) in meterst in minutes

Q: Find the area of the surface. the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x²…

A: We have to find the area of the surface. First we will find partial derivatives of z and then use…