3*-7* x-0 2-15x d. lim

Q: Use Stokes' Theorem to evaluate fr. F. dr. C F(x, y, z) = 5xyi + 5yzj + 5zxk where is the triangle…

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A: The given differential equation is xy3 dx + ex2 dy =0,     x=0: y=1 we solve the differential…

Q: second derivative tests. =) has a relative Choose one Choose one maximum minimum at the point (?, ?)

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Q: Solve the following Bernoulli’s differential equations 2ydx + x (x^2 ln y - 1)  dy = 0

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Q: 3. f(x) = 3+ |2x − 4|, a = 2;

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Q: 7- Differentiate Y= f(g(x*)) h3(Vx)

A: Follow next step

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A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Find the arc length L of the graph of r(t). L r(t) = 12 cos(t)i + 12 sin(t)j + tk, 0≤t≤ 2m

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Q: dw the functions w= -5x²-3y².x= cost, and y=sint, express as a function of t, both by using the…

A: Use chain rule for derivative

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A: To integrate by using the trigonometric substitution.

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Q: 3. In evaluating the integral S fractions. Let x² dx (x-1)²(x²+1)' you will decompose x² dx…

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Q: List the first four terms of the SEQUENCE {3n+1}n=1* Find the limit of the sequence or determine…

A: The given sequence is 2n/(3n+1)

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Q: d. Sketch the piecewise function x²2x-5 -4 ≤ x < 7 F(x) = 30 - 7 ≤ x ≤ 12 -x + 72 5 e. Describe the…

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Q: ∫cos(7t) dt Evaluate the following integral using substitution rule or integration by substitution

A: ∫cos(7t)dtSubstitute u=7t→dudt=7→dt=17du

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Q: ∫10x9−12x3−5 dx Evaluate indefinite anti-differentiation

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Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx = 17 and x terminates in quadrant I.

A: Given that  cos x = 1517 and x terminates in quadrant I. We have to find  sin 2x, cos 2x, and tan…

Q: 2) Use the definition of the derivative, f'(x) = lim Ax-0 derivative of f(x) = 5x² + 3. f(x+Ax)-f(x)…

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Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

A: No Partial fraction formula is incorrect. Actually it is, x2x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1Multiply…

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: This question can be solved using the concept of mid point rule of definite integrals.

Q: (3x+4)2dx Evaluate indefinite anti-differentiation

A: The given integral is (3x+4)2.

Q: answer

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Q: ex csex ex

A: Use integration by parts formula.

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Q: 1. x²y + 2xy-5y³ =0

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Q: Evaluate the definite integral. (20ti+e-¹j+t kat

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Q: 10 cm K L h cm 6 cm LL 11 cm Part 1: Part 2: Part 3: Part 4: Let ʼn be the height of AJKL. Find the…

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Q: ∫12v (7+6v2)9 dv Evaluate the following integral using substitution rule or integration by…

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Q: Consider the following. y 5 4 3 y = x + 2 y = x² -3 -1 1 2 (a) Find the points of intersection of…

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Q: Find the average value ha of the function h on the given interval. ave h(u) = (14 - 13u)-¹, [−1, 1]…

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Q: Non-Exact H.W: (2xy ey+2xy³+y)dx + (x²y^ey-x'y-3x)dy=0

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Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…

A: Solution is done in step 2

Q: Using Disk Method solution, R is bounded by x-axis, y-axis and the line 2x + 3y = 1. This is…

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Q: -1.5 (-0.7,02) -0.5 2+ 1.57 1 3 0.5 (0.7,0.2) -0.5- (-1.2,-1) -1.5- -2 are the critical values of f?…

A: Given query is to find critical points and interval where derivative is greater than zero and less…

Q: 3. Find the area of the surface cut from the nose of the paraboloid x = 1-y²-z² by the yz-plane. Do…

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Q: ep 1 Begin by rewriting the integral into the following form. 1 1= du/dx u x² + 8x + 5 x³ + 12x² +…

A: To integrate..

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Q: The function f(x) = − 6x³ – 29.07x² + 433.242x – 5. is increasing on the open interval ( It is…

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Q: Use Newton's method to approximate a root of the equation 3z7 + 2z¹ + 2 = 0 as follows. 3 be the…

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ - r(t) = t²i+t³j to find k(t).

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Q: Evaluate the limit 5 + 71 lim 2 - 5x

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Q: Verify Green's Theorem by evaluating both integrals dA [_v² dx + x² dy = [ ] (ON-OM) DA ду for the…

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Q: The graph of g consists of two straight lines and a semicircle as shown in the figure. y 20 y = g(x)…

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