4. Find an equation of the tangent plane to the surface x = u? + 1, y = v + 1, z = u + v at the point ( 5, 2, 3)

Q: 1. Linear equation of order one: dy-(r-2ydx=0

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. NAA 4- 3 37 2 4…

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Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x = u + v)…

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Q: The graph of a periodic function f is shown below. 3| f(4) 1.57 3.14 4.71 6.28 -2 -3 a. What is the…

A: a.according to graph peroid=1.57=π2b.Amplitude =2--22=42=2

Q: f

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Q: 13 4. Consider the function f(x)% = for a 2 (a) Draw a graph of this function on the interval [0,…

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Q: ` log x dx

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Q: Given that z=5cos (3x + 3ct) +e*+. Which ONE of the following statements is TRUE? A. a2z dx2 В. д2:…

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Q: 2. A rock thrown upward has a height given by s(1) = 49t-9.81 where s is in meters and / is in…

A: Use derivative to solve

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A: answer is in next step

Q: rental bus fee of Php. 2000 .00 per day plus Php. 10.00 per mile traveled. How much does the rental…

A: Detailed explanation is attached.

Q: Find Duf at P. f(x, y) = sin(6x – 4y); P(4, 6); 4 3 i u = j JOTE: Enter the exact answer. Duf =

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Q: f'x) = g'(x) on [4, 7] %3D S(4) = 7 %3D g(4) = -9 f(7) = 6

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Q: Consider a triangle ABC like the one below. Suppose that a=57, b=71, and c=70. (The figure is not…

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Q: x² – 25 The antiderivative of - dx is / x2 – 25 – sec-lx+ C.

A: Given,            The antiderivative of ∫x2-25xdx is x2-25-sec-1x+C.To find : To check the…

Q: Given the power series 2 2n A x(n + 3) n = 0 Use the technique that we covered in this unit to Shift…

A: To shift the index of the power series use the substitution n = R - 3

Q: Calculus question

A: Detailed explanation is attached.

Q: Sketch the graph of the given polar equations. 5 17. 0 = %3D

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Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim (203+922 8x3-8 If…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j +…

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Q: Consider A = (0, 4, 2) , B =, (6, –1,0) and C = (3,0, 1). %3D (a) Find the unit vector having the…

A: If you submitted multiple posts for this same problem, that will go to different experts. So you…

Q: L Sketch the plane curve by plotting points. Indicate the orientation of the curve. (Hint: Create a…

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Q: o evaluate the fo

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Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

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Q: Integrate the vector field over the curve C. F (x,y) =(y+1, 2x) C: x=4t, y=t², 0<t<1

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Q: Describe the graph of the equation. r = 10 sin 147 i + 10 cos 14t j O tis an ellipse in the…

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Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Which of the following is the general solution to the differential equation

A: Integrating factor of the differential equation of the form dydx+P(x)y=Q(x) is given by,I.F=e∫P(x)dx

Q: A pilot is flying over the ocean. He determines that the angles of depression to two ships are 65°…

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Q: Find the general solution of the given differential equation. (* - 9) + by = (x + 3y? v(x) = Give…

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Q: 3. Hallar una serie de potencias centrada en c = -3 para la función f(x) = 1 2х-5 a) Σ (3x)* 2-1…

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Q: Use the indicated change of variables to evaluate the double integral. 4(x2 + y²) dA X = y = (0, 1)…

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Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…

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Q: 16) Solve, finding all solutions in [0, 27). 4=4 sin? x+3 с. a. b. 1-3 tan x = 0 (d. e. sin x cos xr…

A: Question no. 16,Part b,Given,            1-3tan2x=0

Q: Find an equation of the plane that passes through the point P(4, 6, 3) and has the vector n = (1,6,…

A: I have stated the used formula in the solution.

Q: Suppose (2,1) is a critical point of a function f (x,y)· If D=4x – 5y and f=x+y, XX classify the…

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Q: he points P1(2, 0, 1), P2(3, - 2,- 3), P3(4, - 6, - 5) lie on the same line.

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Q: 3. Find the value of c guaranteed by the MVT for integrals for f(x) = cos(x), [-; 3'3 ] over this…

A: f(x)= cosx  , [ -π3,π3]as per MVT for Integrals for a function f(x) bounded and integrable on [a,b],…

Q: 1 xy Let f (x,y) =In . Then f (1. – 1)=..... 3x²+4y3 XX

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Q: 1) Sketch the curve. a) r=-2 sin O r = -2 sin O Show All Work

A: Explanation of the answer is as follows

Q: Consider the following IVP: x" + 4x = t+4 ; x(0) = 1, x'(0) = 0 Find the general solution.

A: Explanation of the answer is as follows

Q: 2. Computing Derivatives; Compute each derivative using the derivative rules: d (a) (cos-(1+ 2*) +…

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Q: | sec(/I) tan(/) dr

A: We need to solve integral.

Q: ft号+号 13 4. 4 2.

A: We can solve this as follows:

Q: If z=x²sinh then дхду O A. (-x³– 3x²y+2xy² – 32x) / 16+x²- 2xy + y² (16+x²-2xy + y²) ² O B. (x³–…

A: Given  z = x2 sinh-1x-y4 We have to find  ∂2z∂x∂y.

Q: 1. Three students were given the following problem: Unfortunately, we cannot make out the actual…

A: Three students were given the following problem.∫? dx Unfortunately, we cannot make out the actual…

Q: Write TRUE if the statement is always correct and FALSE if otherwise. Prove your answer. (c) If am…

A: c)   If an≤bn for all n∈ℕ and ∑n=1∞an is divergent, then  ∑n=1∞bn is divergent.

Q: Given the function f (x,y) = which ONE of the following statements is CORRECT? x+y? O A. f is only…

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Q: (26ー1) 不t8

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Q: Find the surface area of the sphere x^2 + y^2 + z^2 = 100 that lies above the cone z = sqrt(x^2 +…

A: We need to find surface area.