Find the equation of the tangent plane to the graph of f(x, y) = In (13x² 10y²) %3D at the point (1, 1). (Use symbolic notation and fractions where needed. Enter your answer using x-, y-, z-coordinates.)

Q: 1- V1+ 36x2 Let f-(x) = 2x V1+ 36x? 2x f(f-(x)) %3D 1. V1+36x 6. - 2x

A: Here, the given function is: f-1(x)=1-1+36x22x Let, f-1(x)=y⇒y=1-1+36x22x⇒2xy-1=-1+36x2⇒(2xy-1)2=1+3...

Q: Let an​ be an arithmetic progression, for which a2​=5 and a1​=−11. Find the difference of the progre...

A: The objective is to find  the difference of the progression.

Q: Q Give Some definitio ns to the Best approximation you know, and then glve the Sufficiet condition f...

A: We have to write about best approximation method

Q: What is the equation of the line Lz pass through the point ( 2,-1) that is parallel to the line L, w...

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Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0

Q: 11. Use the Shell Method to calculate the volume V of the solid obtained by rotating the region unde...

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Q: Evatuate the function at the given value of the independent vaniable. Simplity the results x) -- x) ...

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Q: Compute the volume bounded by y = x² – 2x and 3y + 2x? – 27 = O when it is revolved around the y-axi...

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Q: Sketch the region enclosed by the functions f(x) = x + 2 and g(x) = 4- x². Find the volume obtained ...

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Q: a. For the following functions and values of a, find f'(a). b. Determine an equation of the line tan...

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Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx = F(b...

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs y=x and y=x' from ...

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Q: 1. Determine el área encerrada por la elipse + = 1 y? 25 2. Determine el área de la región bajo la c...

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Q: Thus, for f(x): %3D x2 - 9 , if x 0 f-x) = %3D if x = 0

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Q: 3x-28х+49 Зx-7х a. Simplify : i) ii) /x'y . /xy. Write the answer in radical form. b. Solve the equa...

A: i)=3x2-28x+493x2-7x=3x2-7x-21x+493x2-7x=(x-7)(3x-7)3x2-7x=(x-7)(3x-7)x(3x-7)=x-7xor=1-7x

Q: Find F' (x) if F(x) = L Vt² + 1dt.

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Q: Integrating Hyperbolic Functions 13. Evaluate, | sinh* x cosh x dx 14. Evaluate, dx xVx? +16 15. Eva...

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am ...

Q: a Disaster Strikes Gridtown: there is a pothole on 8th ave between Seh st and 10th st. How many rout...

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Q: Graph the function and find its average value over the given interval. a. g(x) = -|x| on [-1,0] b. f...

A: The objective is to graph the functions and find its average value over the given interval.

Q: The vector n = (7, –4, 2) is normal to the tangent plane to z = h(x, y) at (4, –5,6). Estimate h(4.0...

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Q: Determine the area bounded by the curve y=9x/5 and the line y=x-2 A. 3.43 sq. units B. 6.86 sq. unit...

A: Let's find. 

Q: Use left endpoints and 6 rectangles to find the approximation of the area of the region between the ...

A: Let's find. 

Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10 element...

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the area bounded by the curves y? = 6x and x? = 6y. A. 15 sq. units B. 18 sq. units c. 9 sq. un...

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Q: Michael needs Php 10,000 for the renovation of their house. If he will apply for a discounted one ye...

A: Simple interest(I) of principal amount P, with rate of interest r% for t years is given by, I= Prt/1...

Q: + y*)dx dy B. 19/2 Evaluate A. 35/2 C. 37/2 D. 17/2 A

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Q: 9. Sketch the solid obtained by rotating the region underneath the graph of the function f(x) = Vx2 ...

A: The answer is in step 2.

Q: Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Wher...

A: This is a problem related to numerical method. Here two ways are given to solve differential equatio...

Q: Let a = ci +j andb = 3i + 4j. Find c so that the angle between a and b is. Round your answers to fou...

A: Topic = Vectors

Q: Let f(x) = -cos(x). Compute ộ = coto + C1T1 where to = 1 and 1i = x. %3D Compute the discrete approx...

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Q: Figure 1: Continuous and differentiable Figure 2: Continuous but not differentiable Figure 3: Differ...

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Q: S sine sin (cose) de A. cos (cose) –cos³(cose) -cos B. cos (cose) + cos (cose) +cos (cose) + C C. co...

A: Solving the problem by finding the derivative.

Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v orth...

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Q: リ=!-Cos2x 1+(os 2x prove y = 2 tanx .secx

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Q: Find the fifth partial sum, S5 = C-1 4()"* n-1 Write as a fraction reduced to lowest n=1 terms in th...

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Q: 1 2 3 v(t) 30 50 40 60 The table above gives the velocity v(t), in miles per hour, of a truck at sel...

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Q: 2. Suppose g(2) = 8 and g(5) = 512. (a) Write an equation for g(x) assuming it is linear. (b) Write ...

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Q: a(t) =D 글 i+ j+ cott k. Find v(t) if

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Q: Find the area bounded by the given curves and lines. 1 y? (2-2) x = -2 x = 0

A: Area under the curve y2=12-x3/2, -2≤x≤0

Q: dy 1. Using Logarithmic Differentiation, find * given that dr -3 sec-(VI) y = 4"(log2 r ech z

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Q: Solve for the Linear Differential Equation: y' + y = sin(e^x)

A: Given differential equation is y'+y=sin(ex)

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. 2n + 1 (b)...

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

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = y² – x² su...

A: f(x,y)=y2-x2g(x,y)=14x2+y2-1=0∇f=-2x, 2y∇g=x2, 2ySet up:∇f=λ∇g and g(x,y)=02y(λ-1)=0-2x-λx2=0x24+y2=...

Q: S dx Evaluate: А. п B. VT c. VT3 в. D. еп A B C D

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Q: С.) 8.3° D.) -345°

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Q: 120 150 30 360 11 240 300

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Q: -3m c2n n S " S" (sin x + cos y)e? dx dy dz A. 2n(e2" + e3") B. 2n(e2". c. 2n(e3 + e2") D. 2n(e – e2...

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Q: olve the initial-value problem 2xy = In x, y(1) = 2 t? + 3u, t> 0, u(2) = y + x² sin x, y(7) = 0 dy

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