Find the area under the graph y = x 3 on the interval [1, 8]. 1 2 3 4 5 6 7 8 9 -NW 01 5- 4 3 2 क्त -2 -3 4 -5 O 12 O & to wŃ 45 4 43 4 45 TE

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Q: If the equal tensions T in the pulley cable are 520 N, express in vector notation the force R…

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Q: By using convolution theorem for Laplace transform, prove that 1 L-1 ;x) = { erf (2√x) PVp +4

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Q: solve your given pair of complex numbers placing them on an Argand diagram A = 2 +j3 B = 3tj2 C =…

A: Given :- A = 2+j3 B = 3+j2 C= 3-j2 D=1-J2 E = -3+j2 F= -2+j1 Find:- a) X=A+F b)Y=F-A

Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of y=f 5…

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Q: 16 12 8 0 2

A: Given problem :- Consider the solid of revolution obtained by revolving about the x-axis the region…

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A: Solution: a. We use Desmos to graph the data points given, plotting the city population n along the…

Q: Find the partial derivative of z with respect to x дz (2x−y) дх Н дz 2 О 0 = 3 - 1 " дх Т 2y 2y дz…

A: Just use the rule of partial derivative and find the required solution.Final solution is in the box.

Q: 2. find the derivative 725 - 2z² - 3z + 12 Enter your answer

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Q: Ⓒ Differenitale y = √3x-7 X

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Q: = 2. If y = sin³ (-) cos³ (1) prove that y' = sin² (x) cos(x)

A: Topic = Derivative

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Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

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Q: Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial approximation…

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Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

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Q: 5. DETAILS ZILLDIFFEQMODAP11 1.2.011. MY NOTES ASK YOUR TE In this problem, y = C₁e + c₂e is a…

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Q: Complete the following. (a) The graph of y = g(x) is shown. Draw the graph of y=2g(x−1).

A: We need to draw graph.

Q: (a) Does the point P(1, 2, -1) lie on the line & given by the vector equation (x, y, z) = (2, 1, -2)…

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Q: ii. Given g(x)= √x²+5 if x<-2 3-3x if x2-2 Find the following: d. g(-2)= e. Determine with an…

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Q: d- d³y dx3 ax d² y dx² +6- 15 dy dx Q.2-Solve the differential equation 100y = 0

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Q: Given a vector function (a) Find the domain of r(t). (b) Find the limit lim r(t). t→1 (c) Find the…

A: The objective is to solve the above question.

Q: Jo xy ds where C is the line segment from (2,0) to (5, 4). Evaluate the line integral

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Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: we have given the graphf will be decreasing in itervals where its slope is negativewe can observe…

Q: Q2: Find the following limits sin3y cot5y 3. lim y-0 ycot4y

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Q: b. Determine the gradient of the following function at Po h(x, y, z) = cos xy + e + In zx, Po(1, 0,…

A: We need to find gradient.

Q: Use synthetic division to find the quotient and remainder when 2x3 -8x2 -1 is divided by x

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Q: Given z = 7t - 43 and y = 49 sin t dy (i) de to (ii) (1₂)

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Q: Determine the infinite limit. x² x→9 (x - 9)² lim O 8 88

A: Find out the limit of the function.

Q: 6. cos x sinỗ xdx

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Q: 6X-1 4X+1 X+7<6X=1 6 OX<-89/2 (-∞, - 89/2) OX<-89 (∞, -89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2, ∞)…

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Q: Find the volumes of the solids generated by revolving the region about the given line Use the…

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Q: 2) 2xydy + (x² + y²) dy : > 0

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Q: 3. A 5-pound monkey is attached to a 20 ft hanging rope that weighs 0.3 lb/ft. the monkey climbs the…

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Q: Example (2): Find area shown in the figure bounded by (y = x²), (y = -x) and (x = 1).

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Q: Q:4) Use Green theorem and evaluate the line integral ${Mdx + Ndy} Where M(x,y)=y², N(x,y)=x², C is…

A: See the details solution in below

Q: Evaluate the following integrals. y = f(x) a. b. C. d. 16 0 f(x) dx [f(x) dx Ja (2|f(x) +3f(x) dx…

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A: Here we have to find the given vector operation

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A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Ismael made an error when he was evaluating log3 27 - log3 9. Ismael's work log3 27 - log3 9 log, 27…

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Q: 2|6x + 4 ≥ 1 OX-7/12 - 7/12 - 12/7 choose the right answer

A: we have 26x+4≥1

Q: find the higher partial derivative of the following

A: Solve the following

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Q: ) Solve the Recurrence Relation Xk+2 +4Xk+1+3Xk = 3K where x₁ = 0, x₁ = 1

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Q: Find the volume of the solid generated by revolving about the y-axis the region in the first…

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Q: ii. Given g(x)= x²+5 if x<-2 3-3x if x2-2 Find the following: 15 d. g(-2)= e. Determine with an…

A: gx=x2+5if x&lt;-23-3xif x≥-2

Q: y=? € x ² y² + (y²) ² = 11 - U

A: see below the solution and calculation

Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

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