d [cos³ (x²)-csc(x²)] dx

Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

A: Given,  S'(t) = -20 t2/3   To find : Time required to manufacture computer

Q: Let f(x) = 1 52+6 f(x+h)-f(x) h . = Expand and simplify: (Enter your answer in reduced form)

A: Given function is f(x)=15x+6

Q: Find the distance from the point (-2, -2, 2) to the plane 3x−5y+5z=9.

A: given point is  (-2,-2,2)  plane is  3x-5y+5z=9standard form of plane is  ax0+by0+cz0+d=0formula for…

Q: ) lim 818 5) lim 7x³+3r²-11a √64x9 x+8 √16x² +1

A: we will find the required.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Consider the position function s(t) = 16t+112t representing the position of an object moving…

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Q: Find the value of c for which the area enclosed by the curves y = c — x² and y = x² – - c is equal…

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Q: answer so that I can understand. I sent this question before and it was answered incorrectly. Please…

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Q: Given that y is a differentiable function of the variable x, find y' if 2x²y² - 3y³ = 1.

A:

Q: Determine whether the following sequences converge or diverge. Answer "Converges" or "Diverges." nh…

A: Explanation of the answer is as follows

Q: sin 57 a sin 37 127

A: given  sin(57°)a=sin(37°)127

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Topic = Differential equation

Q: 3, 0≤t≤1 f(t)=3-4t, 1 ≤ t ≤ 3 -t², t≥ 3 = {3-

A:

Q: 30. z = -6xe

A: A detailed solution is given below.

Q: Change from rectangular to spherical coordinates. (a) (9, 3√3, 6) (P₁0, 9) = (12 (p, 0, ) = (5√2 T 6…

A: Given coordinates:- a) 9,33,6 b) 0,-5,-5

Q: f(x²) -8 f(x) T O -8 [ƒ(x) = x² + 6x| A 8 12 If we changed the 6 to a 4 in the equation of ƒ(x),…

A:

Q: Describe the transformations from the parent function, then graph: f(x) = -√√x+5+2 Endpoint: Domain:…

A: Given: f(x)=-x+5+2

Q: Implicit

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: The position of an object moving along a line is given by the function s(t)= - 3t² + 30t. Find the…

A:

Q: ) Let f(x) = c) 1 x + 3 following: a) ƒ (-3) = = defined, write "undefined". Evaluate the Undefinec…

A: We have given function  fx=1x+3 (a) Put x=-3 f-3=1-3+3=10 f-3=Undefined (b) fx+h=1x+h+3

Q: Describe the surface. y² + 72² = 7

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Q: Energy is needed to transport a substance from outside a living cell to inside the cell. This energy…

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Q: A function f(x) is continuous at an x value of aif and only if the following three conditions are…

A: Concept If a function is continuous at x = a then limx→a-f( x ) = limx→af( x ) = limx→a+f( x )

Q: Use the identity sin 20 = 2 sin cos to evaluate lim 0 → 0 sin 20 - 2 sin 0²

A: To find:- limθ→0sin2θ-2sinθθ2

Q: If consumer demand for a commodity is given by the function below (where p is the selling price in…

A:

Q: Write the equation form for the plane defined by co x1 + 1 Ex2 + -10 -0-0-0 + s 3 + t X = x3 = -1 3

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Q: -2 2 Ау 2 y = f(x) X

A:

Q: Consider the position function s(t) = -4.9t² +27t+16. Complete the following table with the…

A: A detailed solution is given below.

Q: CO: a) Find values for the parameters a and Po. Round your answer for Po to three decimal places.…

A: We are asked find the value parameters a and p0

Q: f(x)=-4 3- 2- -3- Watch the values of f(x) as the x value changes. 5 What y-value is f(x) getting…

A:

Q: An object is thrown upward at a speed of 128 feet per second by a machine from a height of 11 feet…

A: given  h(t)=-16t2+128t+111) put  h(t)=168

Q: Two rockets are fired from the same position at an angle of 90° from each other. If they both travel…

A: Given query is to find the distance between the rockets.

Q: Determine the point at which the line passing through the points P(1, 0, 6) and Q(2, -1, 2)…

A: Topic = 3D-Geometry

Q: x Inx - y Iny

A: Given fx,y=xlnx-ylny

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: Initial…

A:

Q: World population¹ is about P = 7.68(1.0103)', with P in billions and t in years since 2020. (a) What…

A: Let's solve given population problem.

Q: x − 3y = 6 Make a table of values,

A:

Q: QUESTION 4. h(x,y)=2xy+3x2+4x3y2+8   What is the value of ∂h(x,y)∂x when x = 3.1 and y = 0.7?…

A: We need to find out the partial derivative.

Q: 3. Show that the LP problem Minimize: subject to g(x1, x2) = 2x1 - 5x2 x₁ + x₂ > 2 - x12x₂ ≤0 x22x11…

A: Given:- Minimize: gx1,x2=2x1-5x2Subject to :x1+x2≥2x2-2x1≤1x1,x2≥0

Q: 4. A cup of coffee has a temperature of 80°C when it is placed outside where the temperature is…

A: The given data is: A cup of coffee has a temperature of 80 degrees celsius when it is placed outside…

Q: The demand for grass seed (in thousands of pounds) at price p dollars is given by the following…

A:

Q: QUESTION 3. h(x,y)=2xy+3x2+4x3y2+8 What is the value of ∂h(x,y)∂y when x = -2.6 and y =…

A: h(x,y)=2xy+3x2+4x3y2+8when x=-2.6  and y=0.8∂xn∂x=nxn-1∂constant∂x=0

Q: QUESTION 2. f(x)=3x2+26 What is the slope of this function when x = -9.7? (Round to the…

A: f(x)=3x2+26slope is f'(x)dxndx=nxn-1d dx(constant)=0

Q: Find the solution of the following differential equations. Show your solutions. 1. 2. (x² + 2y²)dx -…

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Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A: A detailed solution is given below.

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A: The equation is given by 4x2+9y2=36                              .......1 To determine: the x- and…

Q: 1. Differentiate, y e4x / x7

A:

Q: Compute the derivative of the vector-valued function. r(t) = teti + tln(t)j + sin(6t)k (e¹(t+1),1…

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Q: Suppose a company has a revenue stream that can be modeled by R(t) = = -0.035t² +0.77t +0.1 millions…

A: We are asked to find the maximum revenue.