f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

Q: 3 Find the area between the curve of X = and the y-axis on the interval [2, 5]. 2.749 3.296 4.159…

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Q: 10-8-8-4 191 6 30 O 45 X 10

A: Topic = Functions

Q: 4 Find the coefficient of the given term when the expression is expanded by the binomial theorem…

A: Find the coefficient of x2y7 in (2x+3y)9 using binomial expression.

Q: 3 X and f'(-2) if f(x) = 6x. 8 (-2)=(Simplify your answer. Type

A: Given: f(x)=x38-6xTo find:f'(-2)

Q: Given that f(x) = (x - 6)² and g(x) = 1 and g(x) = 1 – 2x, find

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Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: lim x²+3x sin x x-0 0 3 01 O does not exist 0 0

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Q: 4. Express the integral as an equivalent integral with the order of integration reversed. 2√x (a) ff…

A: The process of switching between dxdy order and dydx order in double integrals is called changing…

Q: The total cost (in dollars) of producing x food processors is C(x) = 1600+50x-0.4x². Find the…

A: Derivative of total cost function gives the marginal cost function

Q: Suppose the Candy Company chose to use design C. How many cubic centimeters of material would they…

A: Concept: The volume of the Cylinder: V=πr2h Here r is the radius of the base of the cylinder and h…

Q: e tangent to the function f(x

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Q: For the curve f(x) = 2-5x +4x², the slope of the tangent is -5 + 8a at the general point where x =…

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

Q: Write the inequality in interval notation and graph the interval. -5<x<5 The interval is 0

A: Use interval notation

Q: )

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Q: Consider the following equations. 3 y = 9- -1/2x², y = X₁ x = -2, x = 2 Sketch the region bounded by…

A: Here we have to find the area and the graph of the functions.

Q: coplanar.

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Q: 3. Evaluate the double integrals. -1/2 (a) [fx(1+ y²) d4; R is the region in the first quadrant…

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Q: dx (x+3)²-25 7.57

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Q: Determine the Cartesian equation of a plane that is perpendicular to the plane x - 2y + z = 6 and…

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Q: What is the bounded region between the parabola x = -y2 and the line y = x + 6. Round the answer…

A: This question can be solved using the concept of area bounded by two curves.

Q: Use the Inverse Function Theorem to find (s−¹)' (6) given that s(x)=√√-8x - 4. Note that s(-5) = 6.…

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Q: ■ Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(-1, -2, -3)…

A: Distance of a point from plane

Q: Use the Table of Integrals to evaluate the integral. xdx S 2 x - 10x Select the correct answer. X -…

A: We have to find integration of given question.

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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

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Q: Find the absolute extrema of the function f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. 1. Find the…

A: Graph: For (1), Given: f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. From the graph, it can be…

Q: Write the logarithmic equation y = log5x² in exponential form.

A: We are authorised to solve only one question please repost remaining questions Logarithm

Q: Find the area of the shaded region. y y=8x-r 15 (6, 12) 10 A y=2x 2 4 6 Step 1 To find the area…

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Q: Solve dy dx +4y=2.

A: Solving the differential equation by seperation of variables

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 6,    (3, 1)

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Q: Use implicit differentiation to find y' and then evaluate y' at (-1,1). 3 x Iny+4y= 2x³ y'l(-1,1)=…

A: We have given  xlny+4y=2x3  Find y' and y' at (-1,1)

Q: answer

A: We will find the anti derivative.

Q: Əw 1. If w=x" f() show that x ax +y Əw ду = nw where n = integer.

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Q: > For y, polynomial x = y₁ 1 D²-2 [x²] y, = [-1-D² +...]. [2x+3]

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Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

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

A: Follow the procedure given below.

Q: d²y dx² +6 dy dx +9y = 0

A: The given differential equation is;  d2y/dx2 + 6dy/dx +9y=0

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…

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Q: cel You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour)…

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

Q: 10 End of block exercise: Pase 1002 find a solution: general solution of the differential equation…

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Q: Consider the following. de Use the substitution u = sin(0) to rewrite the given integral. SCC du The…

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Q: Is the series absolutely convergent, conditionally convergent, or divergent? Justify your answer,…

A: We have to find out convergent test As per guidelines we have to solve one question Please repost…

Q: (I) Find the critical points of the function f(x) = x + x² + 1

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Q: On which of the following interval is f(x) S O (0, +∞0) ○ (2, +∞) O [2, +∞0) 0 (-∞, +∞0) 1 x-2…

A: We will the fact that root value should be positive.

Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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Q: Evaluate the integral. 5 0 √ x² + 25 dx

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Q: 3)The solution of the differential equation=x+1-y is y=(x-e-xc). True O False

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Q: B)Solve differential equation dx = -(x²+y) x+siny

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Q: Solve the initial value problem y" + 4y′ − 32y = 0, y(0) = a, y′(0) = -80. Find a so that the…

A: We can solve this as follows:

Q: 1(3). If f(x) = 2 cos x + x³, find 06 2 4 8

A: