Use implicit differentiation to find y' and then evaluate y' at (6,-5). 6xy+y+185=0 y' = ☐ y' | (6,-5) (Simplify your answer.)

Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

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Q: Please don't provide handwritten solution ...

A: Ans: V=π∑i=07​(4e−(0.125/2+i×0.125)2)2×0.125,  calculate the sum to get the approximate…

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series S ∞ 1 1 =2(+2) Σ n=4 n+1…

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Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

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Q: Let ā = (5, 1, −1) and ỗ = (2, 1, 4). Find a. b.

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Q: Pleasev don't provide handwritten solution ...

A: FINAL ANSWER: The series (∑n=1∞​n21+cos(n)​) is converges.   Thabk YouExplanation:STEP−1 To…

Q: Solve by method of sines and cosines f3e3x sen² (e3x) dx

A: Since you have asked multiple question, we will solve the first one for you. If you want any…

Q: 8) Write the expression -3sinx + 4cosx in the form ksin(x + a) for 0 < a < 2. Round a to three…

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Q: K 7 The position of a particle in the xy-plane at time t is r(t)=eli+j. Find an equation in x and y…

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Q: onsider the vector whose initial point is P(0, -5) and terminal point is Q(−4, 5). e position…

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Q: 11. Compute (fog)(x), (fog)(-2), (go f)(x), and (go f)(-2) for each pair of functions. (a) f(x) = x²…

A: (a) :(f o g)(x)  = 9x2-21x-6(f o g)(-2) = 72(g o f)(x)   = -3x2+9x+14(g o f)(-2) = -16 (b)  :(f o…

Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

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Q: For which of the points on the graph of the function f(x) shown below is f(x)0? 1. C 2. D 3.…

A: For Point Athe Y axis for point a is positive therefore,f(x) &gt; 0The slope of the tangent line at…

Q: Find the area of one petal of r = 9cos30

A: r=9cos⁡3θFor the area of one petalr=0cos⁡(3θ)=03θ=−π2,π2θ=−π6,π6−π6≤θ≤π6

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time interval…

A: Given that the a particle with position  as t varies,

Q: (f'(x))² = 4 (52 – 8) - 25 = 20x 32 (f'(x))2 into the surface area equation above to find Surface…

A: To show

Q: The population, P, of a bacteria colony at t hours can be modelled by: P(t) 450+130t+ 15t² + 2t3 a.…

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Q: if f(x)= 5 sin to the negative one power ( x to the thrid power) then what is f prime of x

A: The objective of the question is to find the derivative of the function f(x) = 5sin^(-1)(x^3). This…

Q: Consider the logarithmic function: = g(x) 3 log2(1-x) - 6 a) State the range of this function in…

A: a) (−∞,−6)b)  x = 1c) (−∞,1)Explanation:a)To find the range of the function (g(x)=3log2​(1−x)−6),…

Q: The shaded region shown below is bounded by the functions f, of, x, equals, minus, 3, x, squared,…

A: Given that the region is bounded by the curves and  and the x-axis and the y-axis.

Q: Rewrite the following iterated integral in the order dy dx dz: f(x, y, z) dz dy dx.

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Q: Exercise: Solve the equation d³y dy dx3 +3d²y +3d+ y = 0 dx2 dx

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Q: Answer the following questions for the function defined on the interval [-15, 17]. 3 f(x) x = x² -…

A: a) Vertical Asymptotes   -4, 4 b) Concave Up  (−4,0)∪(4,17) c) Inflection point x-coordinate…

Q: Let f(x)=sin(x), find each of the following: find the second derivative, the thrid derivitie and the…

A: The objective of this question is to find the second, third, and fourth derivatives of the function…

Q: Solve dy = ex-y+x²ey dx

A: In this question, we need to solve this problem.

Q: Find к for the space curve r(t) =2ti + (2a cosh (t/a))), a > 0. K(t)= (Type an exact answer, using…

A: Given:space curve- To find:

Q: Use implicit differentiation to determine dy/dx given the equation x squared+y to the fourth power…

A: The objective of this question is to find the derivative of y with respect to x, denoted as dy/dx,…

Q: Consider the function f(x) = 2x³ − 12x² − 72x + 9 on the interval [−5, 7]. Find the average or mean…

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Q: 5 A polar curve is given by r = (3-cos(e)) What angle corresponds to the point on the curve with an…

A: Hence the final answer is : θ≈2.42,3.86 Explanation:To find the angle θ corresponding to the point…

Q: Find the exact length of the curve described by the parametric equations. x = 7+ 3t², y = 7+ 2+³, 0…

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Q: You can see that the amount of medication enters the therapeutic window quickly, but goes below the…

A: Solution is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: let f(x) = In (1+x). find second degree taylors polynomial centered at x=1 for f(x): f" T₂ (x) = f…

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Q: Pls help me with this word problem thks!

A: The objective of this question is to find the dimensions of the garden that will maximize the…

Q: Let ā = (-1, -2, 2) and 6 = (0, 4, −4). Find the angle between the vector (in radians)

A: To find the angle between two vectors a→ and b, we can use the…

Q: Simplify cos(4t) + cos(2t) sin(4t) + sin(2t) single trigonometric function. to an expression…

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Q: πT Find the length of the curver = 11sece over the interval 0≤0 Round 3 your answer to two decimal…

A: Answer is option C)19.05. Explanation:

Q: ns; (fog)(x) = F(x) or (go f)(x) = F(x) Refer to the graphs of the functions f, g, and h to compute…

A: a.f[g(3)]=1b.g[f(3)]=−3c.f[h(3)]=−1d.(h∘g)(2)=2e.h{f[g(3)]}=2f.(g∘f∘h∘f)(2)=−3Explanation:Given the…

Q: f(x, y, z) = √x + yz, P(1, 1, 3), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: A) "&gt;&lt;2x+yz​1​,2x+yz​z​,2x+yz​y​&gt;B) "&gt;&lt;41​,43​,41​&gt;C)2815​Explanation:

Q: 4) Graph one complete period of the function y = 3 tan (2x+)+ 1. Identify the period, phase shift…

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Q: Let  f(x) = e19 − 18x^2. (a) Find the interval(s) where  f(x)  is concave up. (Enter your…

A: The answers are: (a) f(x) is concave up on no intervals, so the answer is None ( ∅ ). (b) f(x) is…

Q: horizontal asymtotes of  1 (x−3)2

A: The objective of this question is to find the horizontal asymptotes of the function 1/(x-3)^2. A…

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: Question No. (d):Given: An adult human at rest inhales and exhales approximately 520 ml of air…

Q: Consider the function f(x) = 1. Find the first derivative of f(x) with respect to x. 2. Determine…

A: In this query, we tackle differentiation. We focus on the function f(x) = , exploring its derivative…

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec2(4t) tan²(4t)…

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Q: For the function f(x)=x^4+3x^3−36x^2−68x+240, find the intervals where f(x)>0 but f′(x)5 C. x5

A: Given:To find:the intervals where f(x)&gt;0 but f′(x)&lt;0.

Q: If z = tan (金) and x = u² + v² and y = u² – v², find the - following partial derivatives using the…

A: Formula for the total partial derivative is given as follows

Q: Find all points of intersection of the graphs of the equations. r = 1 + sine r = 3 sinė Select one:…

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Q: Let ā = (−4, −5, −3) and 6 = (-5, −4, 4) Find a × 6. V >

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Q: can you solve this question for me

A: The objective of this question is to determine whether the given series converges or diverges. If it…

Q: -olve 2 cos² (w) - 3 cos(w) + 1 = 0 for all solutions ≤w<2π พ

A: Explanation of the answer is as follows