Let y be defined implicitly by the equation 2x + 5y-4x- 7y = -2. dy at the point (1, 0). dx Use implicit differentiation to evaluate (Submit an exact answer.) Provide your answer below:

Q: Let a = ci +j and b = 6i+ 8j. Find c so that the angle between a and b is Round your answers to four...

A: Here the given vectors are a=ci+j & b=6i+8j

Q: A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write f...

A: solution

Q: Do the following for the function f(x) = 6x? + 5x. (a) Express the slope of the secant line in terms...

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C f...

A: ∫ xcos4xdx u =x          dv = cos4xdx ∫u*dv = uv - ∫ vdu so for v integrate dv ∫dv =v = (sin4x)/4 ∫...

Q: Perform the Integrations y cos 4y dy . Use the editor to format your answer

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: ution 1- u? cos x and dx 1+ u? grand to a rational function of u, and t al. If you have a CAS, use i...

A: We have to find the indefinite integral according to the given information

Q: I d²u dv² tan v sec“ V

A: Find your answer below 

Q: Find the area of the region between the parabola y = 9 - x and the x-axis. Round your answer to thre...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Let f be a function defined by z = f(x,y) = 3xy² – 4y. Find the approximate change in z when x chang...

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Q: Which of the following vectors are equal to (2, 2/2, -2)? Check all that applies. vector with magnit...

A: We have to find equivalent vector.

Q: Let A = and B = be vectors in R2. Find the following: (a) A - B (b) 2B + 3A (c) unit vector in ...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Consider the following integral. | 4x7 V4 + 15 dx With the right substitution, the integral becomes ...

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

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Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4, 1). NOTE: Enter the exa...

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Q: Determine whether the Series is convergent or divergent.Write the exact test that you use. Sin n=1

A: Using Dirichlet test. 

Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: Find all inflection points of the function given, and then find the regions where the function is co...

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Q: n (x+1)] Evaluate the limit of the function f(x) = e of Values method. as x approaches 0 using Table

A: Solution is written in below steps.

Q: Rewrite the following integral using substitution: sẽ (1 + 3x)?dx

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Q: Question 1 Find the indefinite integral of F (1) = / te*dr. A 28 e to the power of 4 t squared end e...

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Q: Decide whether the integral is improper. ** sin(x) dx 60 + x2 -00 O proper O improper Explain your r...

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Q: er the integral is improper. sin(x) 61 + x2 xp O proper O improper Explain your reasoning. (Select a...

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Q: T(E) = N= T'(4) Evoluate (t) NG) for t=L,

A: First we find r'(t) then put t=1

Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

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Q: If f(x) = 6 cot +4, then find the value of f'(-4) is

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Q: Find the arc length of the ellipse x = 11 cos t, y = sin t, (0<t< 2 T) */2 V1+sin² t dt 7/2 V1+120 s...

A: Given problem:-

Q: Given f(x) = 2/(x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x))

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: " cos Inx dx Evaluate the Integral A - sin Inx + C B sin Inx + C cos Inx + C sin Inx D - + C

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Q: Find the total differential of the function f(2, y,) : y + z' df = dæ + dy + dz (y+2)* (y+2)* y+z dz...

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Q: 2. We want to integrate a function over the region bounded by x = y2 - 1 and x = /1- y2. What should...

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Q: Provide an appropriate response. Is 4x(4x+ 1)3 dx <2(4x+1)4+C? A) No Yes B.

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Q: Suppose " f(x)dx = 8, f(x)dx = 10, S, g(x)dx = 4 , S g(x)dx = 5 Find : f(x)dx =? f(x)dx =? | [3f(x) ...

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Q: Sole (y-+y Jde - xdy -0 When x0, y=

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. dx u = dv =...

A: the selection of u and dv is based on the I LATE sequence where u is first prefered to be which come...

Q: State the trigonometric substitution you would use to find the indefinite int 2)-6 dx x(0)

A: Let's find. 

Q: Find the integral. S(-x8+ 4)6x7 dx (A -56(-x8 + 4)+C 8 1 (-x8 + 4)7+C 56 D

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Q: S(z²+2)² (x=2)dr, some are shorter or longer but correct here are more than one approach that can be...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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

Q: If dy/dx= 5y+2 and y(0)= 3. What is the value of x when y=2?

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Q: 1. In Figure 3, RK is the angle bisector of 2ORC. a. Name the postulate/theorem that justifies the c...

A: Find your answer below 

Q: Find the area of the region between the parabola y=64-x and the x-axis. Round your answer to three d...

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Q: Let a = ci + jand b = 6i + 30j. Find c so that a and b are orthogonal. c = i

A: The vectors are given by a = ci+j b = 6i+30j Condition for orthogonal vectors:  a·b = 0 To evaluate:...

Q: Evaluate the integral

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Q: 2. f(x) = x5

A: From the definition of the derivative; The expression for the derivative of the function is: f'x=lim...