(a) Find an equation of the tangent plane to the surface of z = ye(3ry-y²) at (-1, –3, –3). (b) Given that the function x = flr u) is a differentiable function with

Q: If h(2) 9 and h'(2) = -4, find %3D %3D d (h(x) dx x = 2

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3x3-3 Evaluate lim 4x3 – 5x +7

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Q: 2. Determine the first and second derivatixe for the following function. Show all work. f(x) = (2x² ...

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Q: In Exercises 3 to 7, find the extrema of f subject to the stated constraints. A=x=y+z_ subject to x²...

A: Extrema

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A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: H.W: 1. find the derivative of the function f(x, y, z) = xy+ yz+ zx ,at the point P,(1,-1,2) in the ...

A:

Q: If a country experiences a doubling time of 45 years with a growth rate of 1.5%, then we can infer a...

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Q: 1 (iv) If f(t) = e2ºH(t), its Fourier transform is F(@) = -2+iw

A: In this question we have to find whether it is true or false.

Q: Step 2 of 3: Use the following information to find (g •f)(x). fte) = (r + 5)* and g(x) = x2-5 %3D An...

A: The given function is: fx=x+512 and gx=x2-5 To find the value of gofx.

Q: The graph of Y = = Vx is given below: 5- 4 -5 -4 -3 -2 -1 1 2 3 4 5 3.

A:

Q: In 2010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. R...

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Q: 3 Consider the following function f(x,y) = +y° + 2xy - 6x- 3y + 4 3 3 3, 2 The critical points are A...

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to ...

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Q: Select all that apply. Solve for x, 0° g x< 360° sin 2x + 2 sinx cosx = 0 270 360 90 180

A:

Q: Use the method of partial fractions to evaluate each of the following integrals. dx 206 J-10x² +9

A: Given:   ∫1x4-10x2+9dx

Q: Find a polynomial P(x) with real coefficients that satisfies the given conditions. Degree 3; roots i...

A: NOTE: Refresh your page if you can't see any equations. . the first root is x=3+i so the second root...

Q: Find the derivative of the function using the product rule. (a) f(x) = (x3 − 2)(6x − 5) (b) f(x) = 3...

A: First I have written the product rule of derivative and then using it and find the required derivati...

Q: Find the relative extrema of f|S in Exercises 8 to 11. 8. f: R² → R, (x, y) → x² + y?, S = {(x, 2) |...

A: Given that: f:ℝ2→ℝ, x,y↦x2+y2, S=x,2 | x∈ℝ. We have  to find the relative extrema of f|S.  

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

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Q: 16. Find the volume of the solid formed by revolving the region bounded by the following equations a...

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Q: The critical points of the function f (x, y) = 1 – x² + 6x – y + 8y2 are - O a) (3,0) and (-3,0) O b...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Suppose F (x, y) = (2xe-", 2y – a²e="} (a) Find a scalar function f (x, y) such that F = Vf (b) Use ...

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Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum...

A: Given that Geometric series8+7+498+34364+...........Solution:8+7+498+34364+.......common ratio,r=78C...

Q: Expand the function in a power series E a„x" with center c = 0. Find a,x". 7+6x n=0 (Express numbers...

A: Radius of convergence of the power series ∑n=0∞anxn is given by, R=limn→∞anan+1 The series ∑n=0∞1np ...

Q: The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) from a triangle of area √6. Determine the value(s) ...

A:

Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

Q: Find the derivative of the function using the power rule.(5 pts each) (a) f(x) = 3/5x5 − 4x −4/3x-3 ...

A: a.

Q: PART II. Solve the following, Show the necessary solution= 4. Find the fourth term in a proportion i...

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Q: Question 2. Prove g*g"t" is not regular.

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Q: ketch the region enclosed by the given curves. x 6y2, x 4 + 5y2 y 20 15 10 10 15 20 O-21 20 15 10 15...

A: Given curves are x=6y2 and x=4+5y2 Sketch the region and find the area

Q: Ex/ show that f(x) = x+7x + 4 x + 1 has an inverse. %3D

A: In this question we have to find whether the function has an inverse.

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Q: 9 Chapter 3.4, Problem 187E Express the rational function as a sum or difference of two simpler rati...

A: Concept -factorized the rational express

Q: A. List the first four terms of the infinite sequence with the given rule. 1. ап — п? — 4 2. аn 3 n?...

A: Please refer to the image below

Q: 5-4x2 dx 3+ 2x

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Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

A: This question is based on gradient of function.

Q: 2x – x3 - 1. Evaluate dx. J (x – 1)²(x² + 1) - 2. Use the previous item to determine if the improper...

A: We have to solve integration

Q: The equation of the normal line to the surface X - y² – z² = 1 through the point (3, –1, 1) is O a) ...

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Q: Find y' and y''. y = lnx + (7+x^2)^1/2

A: We can find y' and y'' as below

Q: Select all that apply. Solve for x, 0° g xs 3600 sin 2x + 2 sinx cosx = 0 270 360 90 180

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Q: d²s dt2 sin 3t + cos 3t |

A: In this question, we need to find s.

Q: Given the series Σ (n!)³ (4n)! n=1 an+1 find the ratio an (Express numbers in exact form. Use symbol...

A: Given query is to find series converges or diverges 

Q: Consider the integral 16–z² x? dz dy dx x²+y²

A:

Q: Use integration by parts to show that for n > 2: / sin" x dx: 1 sin- x cos x + /sin-2 x dx.

A: To evaluate: ∫sinnx dx

Q: Initial value Problem : Find the particular solution given the initial values in explicit form y' = ...

A: Given differential equation, y'=yx+(2x3y)cos(x2)⇒yy'-y2x=2x3cos(x2).....(i)

Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -; ...

A:

Q: Determine whether the series is convergent or divergent. n - 1 5n - 1 n = 1 convergent divergent If ...

A: Given:    Limit equations is given

Q: %3D Let f(x) = e* g(x), where g(0) = 1 and g'(0) = 5. Find f'(0).

A: Given query is to find indicated derivative.

Q: t' sin (2t*) dt Evaluate O 1/8 t^4 sin(2t^4) - 1/16 cos(2t^4 )+c O -1/8 t^4 sin(2t^4 )+1/16 cos(2t^4...

A: