10. RdA, where R is the region bounded by the ellipse 4x²+9y² = 1; let x = ½u, y = v

Q: Let y(x)=3 Estimate the slope of the tangent line of y(x) at the point x = 2: nonzero numbers after…

A:

Q: II) For the following exercises, find zeros and its multiplicity of the polynomial functions. 1.…

A: The answers have been provided.Explanation:

Q: Let f(x)=2x²-2x and g(x) = -4x-1. Find f[g(3)]. f[g(3)] =

A: Step 1:

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Step 1:

Q: 5 Given that thet is an acute angle with tan(0) evaluate sin(20) - cos(20). 12 119 O 169 1 169 7 13…

A: The objective of this question is to evaluate the expression sin(2θ) - cos(2θ) given that tan(θ) =…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 + 5y², 1 ≤…

A: If you have any questions let me know in comment box thankyou.

Q: A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Illustrate the given situations as shown. Let AB represent the pole, and CD represent the woman.…

Q: [3] (a) Evaluate dx (b) Determine if the following integrals are convergent or divergent. Evaluate…

A: Step 1:Note that you may get confused a little bit that how the singularity is removed, so see…

Q: dw Use the chain rule to find dt dw dt II W = In x² + y² + z² x = 7 sin(t), y = 4 cos(t), z = 3…

A: dtdw​=49sin2(t)+16cos2(t)+9tan2(t)33sin(t)cos(t)+9tan(t)sec2(t)​ Note: it can be simplified in many…

Q: A rectangle in the coordinate plane has its base along the x-axis and two vertices on the parabola…

A:

Q: A ball is thrown into the air and its position is given by ℎ(t)=-6.7t^2+70t+11 where ℎ is the height…

A: Maximum height =6712987​ meters Time =67350​Explanation:Approach to solving the question: Detailed…

Q: A car is moving along a straight road. At time t seconds, the position of the car (in feet) is s(t)…

A:

Q: Find the derivative of the following function. y= (3x²+7) (4x+1) 5x-9

A:

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Step 1:

Q: Find the slope of the tangent line to the polar curve r=4-5cos(theta) at theta = pi/3

A: If you have any questions let me know in comment box thankyou for your question.

Q: A stone is thrown straight down from the edge of a roof, 1150 feet above the ground, at a speed of 5…

A:

Q: We want to use properties of limits and algebraic methods to find x²-25 lim x--5x+5 Note that the…

A:

Q: Use the quotient rule to find the derivative of the function. y' = ☐ (Simplify your answer.) 6 y=…

A: y=4x+16​let:u = 6 u' = d/dx(6) = 0 v = 4x + 1v' = d/dx(4x + 1) = 4 Solution:Substitute and simplify…

Q: Convert the Cartesian coordinate (-3,2) to polar coordinates, 0 << 2πT r = Enter exact value. 0 =

A: The objective of this question is to convert the given Cartesian coordinates (-3,2) into polar…

Q: 1. Circumference of a circle: Consider the polar equation r = 2Rsine. Sketch the graph, identify the…

A: 1. Circumference of a circle.

Q: Find the indicated derivative for the function. f'(x) for f(x)=2x-4x+4x-4 f''(x) = ☐

A:

Q: Use the product rule to find the derivative of the given function. Hint: Write the quantity as a…

A: To find the derivative of the function y = (7x^3 + 3x^2)^2 using the product rule, we first write…

Q: Use the intermediate value theorem to determine whether the function f(x)=x3+x-4 has a root or not…

A: given f(x)=X3+x-4 and x= 1 and x= 2

Q: y= -3 Cos (2π - 5x ) -1 , determine : • period , amplitude, range • three maxima • four minima…

A: Please see the attached images for a full solution. Thanks.Explanation:

Q: express with spherical coords, then evaluate. show all steps

A: 2π(3−3​)Explanation:To solve this, we can use spherical coordinates: x=rsinθcosϕ   y=rsinθsinϕ…

Q: Use Newton's method to estimate the one real solution of x3+4x-1=0. Start with x = 0 and then find…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: K Question 12 of 25 T > T Use Newton's method to find an approximate solution of In (x)=10-x. Start…

A: Step 1: Step 2: Step 3: Step 4:

Q: Differentiate the following function. y =In5x = dx

A:

Q: I need help with question 4.

A: Approach to solving the question: Detailed explanation:

Q: Solve and show all steps

A: I hoe this helps you! Thank you!  If there's any doubt please comment down i will surely be there to…

Q: Suppose a person wants to travel D miles at a constant speed of (60+x) mi/hr, where x could be…

A:

Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 25 in² The smallest…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 8900 cubic centimeters per min at the…

A: Step 1: Step 2: Step 3: Step 4:

Q: (If an answer does not exist, enter DNE.) (2,30) 20- 20 |(2,5) (9,9)

A: graph of f(x) is given

Q: Dertmine whether the sequence converges or diverges, if it converges, find the limit. an = -1n/2√n

A: Step 1: We say that a sequence converges if the sequence has a finite limit Step…

Q: Find the derivative of the given function. 7x y= 30' y' = ☐ (Type an exact answer.)

A:

Q: on 1. Solve the systems of linear equations that have been reduced to the following matrices:…

A:

Q: A) determine the domain of the function B) determine the zeros of the function C) determine the…

A:

Q: Consider the function f(x)=2x^3-12x^2-30x+2 on the interval [-6,10]. Find the average or mean slope…

A: Ans:Detailed answers in explanation please referAny confusion please ask in clarification will…

Q: Solve the problem. 10) Find the equation for the tangent plane to the surface 6x+5y - 5z = -9 at the…

A:

Q: f(x)=9x- -2 I => 4. Question Details Done Find the derivative using derivative rules. Simplify your…

A:

Q: Find the derivative of the function. s=t² In |t| ds dt

A:

Q: -17 P(X?) A X X 17

A: Step 1:Step 2:

Q: solve the non-homogenous equation y” – 2y’ = t + e^t

A:

Q: pls solve

A: Step 1: Step 2: Step 3: Step 4:

Q: 8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z…

A: The objective of the question is to determine the direction and rate of change of the elevation of a…

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A: The given equation is  and point

Q: Find the derivative of the following function. y = (In |x + 8|)5 dx ||

A:

Q: Find the error in the following work. d 2x+5 2 dx x². - 1 (2x+5)(2x)-(x²-1)2 (x²-1)² 4x²+10x-2x²+2 2…

A:

Q: When pineapple juice is left standing, it settles so that it thickens toward the bottom. Suppose a…

A: