Graph the function. y = 3 Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and two points with positive x-values. Then click on the graph-a-function button.

Q: dy = sin(x+4) dx

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Q: The evaluation of 2xe¹³ dxdy is 3e-1 O e-3 O e-1 O None of them O -3e C

A: Topic = Integration None of them

Q: Define R as the region that is bounded by the graph of the function f(x) = -2e, the x-axis, x = 0,…

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Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 2 6 2 O 8 O 4 O None of them O

A: The objective of the question is determine the length of the curve given in polar form.

Q: 00 To test the series Σ as is the case with all series of this type.) According to the P-test: the…

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Q: Choose the angle (in radian) between the following two vectors u = and U = - O 2.059 00 O None of…

A: We know that the angle between two vectors u and v is θ = cos-1 u·vuv

Q: Which of the following is the area of the region bounded by the function y = x ^ 2 the vertical…

A: To find area of the bounded by the function.

Q: The reverse order of ² sinx cos² dxdy is ² ² ½ sinx cos² dydx y x False O True O

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Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: <2, U = < 4, 5, x

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Q: 5. A spherical balloon is being inflated at a rate of 10 cubic centimeters per second. dr A. Find an…

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Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: 3. Find the solution of the following system of liner inequalities by graphing: (K + 2y > 5x + 3y…

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Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

A: Take y common from RHS

Q: On the moon, all free-fall distance functions are of the form s(t) = 0.81t², where t is in seconds…

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Q: The orthogonal trajectories of the family of curves r = c(cosec 0 + cot ) are given by: (a) ke-cos e…

A: See this solution in below

Q: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

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Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

A: In this question, we want to compute the length of the curve.

Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…

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Q: ·S In (x) √xln(x)-x =dx

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Q: -arc sin y dy 5 Answer with text and/or attachments:

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Q: Which of the following vectors is in the same direction as the vector a = 5i - 4j + 3k? Select one:…

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Q: 2л 1. The region R is bounded by the x-axis, x = 0, x=- 3 A. Find the area of R. 3sin(). 2 and…

A: Given:

Q: 2 E2 72-00 (i = 1 Express lim + Si ⅱ) (2) as a definate integral.

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Q: If then, find f'(x). O f(x) = ²* √e² + 1 dt, 2√e +1 O None of them. O Ve +1+ C O √e™ +1 e

A: Use fundamental theorem of calculus for finding the derivative

Q: √ 2*+3* dx 5*

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - Z = z…

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Q: Given L1 and L2 who's parametric equations are: Given. I).Show that L1 and L2 intersect at a…

A: Concept: The calculation of the angle between two lines in a three-dimensional space is comparable…

Q: Perform a first derivative test on the function f(x) = 2x³ + 3x² - 36x +4; [-3,5]. a. Locate the…

A: To find out the critical points, maximum and minimum and absolute maximum and minimum.

Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: Find the derivative of the function y = 4 sec¹ (x + 2). (Use symbolic notation and fractions where…

A: We can find the derivative as below.

Q: (d) dx Oseparable exact linear in x linear in y homogeneous 0 Bernoulli in x Bernoulli in y Onone of…

A: Explanation of the answer is as follows

Q: xy²dy=y³x³y(1)=2 3 3 ху

A: See the answer below

Q: Here are some patterns made from sticks. 8 8 Pattern 1 Pattern 2 a) Complete this table. Pattern…

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Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

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Q: dy (8) The solution of differential equation: + y = xy³ is dx (a) = x + ²+ce²ª, y (b) = x² + + ce²x,…

A: Using differential equations

Q: CONVERSATION/OBSERVATION Understanding Types Of Graphs 1. Imagine you were given three different…

A: According to the company rule, we can answer only first question and rest can be reposted.

Q: The Maclaurin series of the function f(x) = 8x² sin(6x) can be written as f(x) = Σ₂² n=0 where a few…

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Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

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Q: Lim x tends to pi/4- (LHL) √(1-√sin2x)/(pi - 4x)

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Q: Express in p/q form 0.005

A: Express in p/q form 0.005

Q: Solve the given initial-value problem. X (x + y)² dx + (2xy + x² - 2) dy = 0, y(1) = 1 + 6xy²-6y=1

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Q: 6. If : G H and 8: H K are both homomorphism, so is 0. • : G → K.

A: We can solve as follows

Q: 2. (x² + y² + 1)dx + x(x − 2y)dy = 0

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Q: The geometric representation of the equation is a circle in R3. Select one: O True O False -3x²-3y²…

A: Given: -3x2-3y2=-18

Q: 7. Obtain the MacLaurin series representation of f(x) = In(1-x).

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Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is y O X O None of…

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Q: (1) Suppose directional derivatives of the scalar function f(P) at a point P = (x, y), in the…

A: Solution: Let ∇f=xi+yj Then ∇f.3i+4j5=1⇒xi+yj.3i+4j5=1⇒3x5+4y5=1⇒3x+4y=5............(1)

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: Q21 Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: we need to tell whether given statements are true or not