2x lim(x,y)→(0,0) x² + x + y²

Q: Let f(x) = 4x + 7 – 17e². Then the equation of the tangent line to the graph of f (0, -10) is given…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Here is the solution:

Q: 1.) e ax sin (mx) dx -1) (0+3)(

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Q: I have a question about the problem solved…

A: The explanation of your query can be solved using the concept of function.

Q: The differential equation dy x-2y+3 ax 2x+3y-4 = is reduced to [homogenous or separable

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Q: Consider the parabola f(x) = -x² - 4x-7 i) Write the equation in vertex form. ii) Find the vertex…

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Q: (b) Consider the complex vector space C² (with complex scalars). Find the real number a, if it…

A: The objective of the question is determine the value of "a" for which given vectors are linear…

Q: Write the following expression as one integral. 5 7 5 I from S₁ •Sf(x) dx - - f(x) dx + - f(x) dx -7…

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Q: Find the partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

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Q: Find the area bounded by the curve xy=2 and the line x+y=3 O 0.11 O 0.17 O 0.22 0.05

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Q: Consider the equations of two planes. x + y + z = 0, 8x - y + z-5=0 (a) Determine whether the planes…

A: This question can be solved using the concept of angle between two planes.

Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: For the function f(x,y) = 7x² + 6y², find f(x + h,y)-f(x,y) = h f(x+h,y)-f(x,y) h

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Q: How do you know when the system of equations is solved? None of the answers are correct When one…

A: The objective of the question is choose the correct option.

Q: An arithmetic sequence has first term a = 5 and common difference d = 4. How many terms of this…

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Q: 3. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

A: Topic- application of derivatives

Q: For the given function find an equation for the inverse function f-1(x).  f(x)=3x-1

A: To find out the inverse of the function given.

Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: [xt xtan xdx

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Q: Solve the differential equation dy dx y²+7xy+16x² x² O a. x - y = O b. x + y 5 (y + 4x) In y O C. X…

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Q: Consider the function f(x) = 2 (cos(z-7)+2). Determine its amplitude, period, and midline. Enter the…

A: The midline of a periodic function is the horizontal line which is between the function's maximum…

Q: S dx 3 cos x-2 sinx+3

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Q: 40 For problems 21 function to find t C 123, use the following. following rut o

A: We will find the required.

Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Evaluate O O O O e e+1 2 e+1 In eftdz. S et +1 In e+1 2 1 2 1 2

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Q: Consider lines L₁ and L₂. L₁: x = 1 + t, y = t₁ z = 2 + t, t€ R, L₂: x-3=y-1=z - 3 (a) Verify…

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Q: 4. An oil rig lies 20 km off the coast of Newfoundland. A town lies 80 km along the coast from the…

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Q: Find the value of the given limit. lim tan(4x) I I-0 O a) 1/12 Ob) undefined Oco d) 4

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Q: Find the Taylor Series generated by f(x) = (7 · X) ² at X=6 : f'(x) =__9 (7-X) 10 90 ƒ"(x)= (7-x)"…

A: The given function is fx=17-x9 centered at x=6

Q: Find the local extrema of the following function. f(x,y) = x³ - 3xy² +12y² For the critical points…

A: the solution is given below

Q: Use cylindrical coordinates to integrate f(x, y, z) = z over the intersection (i.e. all the volume…

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Q: Evaluate lim 0 00 0 1 02 O Infinity 3x²+5 cos x-5 2x

A: Given: limx→03x2+5cosx-52x   As we know the Power rule: ddxxn=nxn-1

Q: Solve the following differential equation by using integrating factors. You may assume that * > (x +…

A: To solve the given differential equation.

Q: After an appropriate trigonometric substitution, the integral integrals? O sine. 24 (1-x²)³/2 da can…

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Q: Consider the function f(t) = 10 sec² (t) - 3t³. Let F(t) be the antiderivative of f(t) with F(0)…

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Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

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Q: cos(A) cos(B)

A: Our Aim is to find the value of cos A cos B=?

Q: Q-5: a) Find the area of the region enclosed by the two graphs y = e²x and y = 1 -x, on [0,1]. Find…

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Q: (5) Find the integrals: •ftan²(x) dx ● fsec²(x) dx • ftan³(x) dx ●

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Q: The equation for the conic section with focus (x, y) = (c, 0), direc ricity e 1, by choosing c =…

A: Topic:- geometry

Q: Solve the following differential equations y" - y'= 4cos²x

A: We have to solve the differential equation y''-y' = 4 cos2x

Q: A room in a certain factory wanted to improve the CO₂ concentration level which is a high 2500ppm.…

A: The air inside has 2500 ppm of CO2 and volume of 5000 cu.m  Fresh Air has 400 ppm of CO2    Now, let…

Q: e cos(x) = 1 + sin(xy) 2 2

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Q: of the function given by the equation derivations details.

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Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

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Q: Find the exact value of sin (77) 3 sin T 3

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Q: Use L'Hopital rule, find the following limit? lim (4x + 1) cotx x→0+

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Q: Find the derivative of the given function. g(x) = sec¹(2πx) a) g'(x) = 87 sec³ (2πx) tan(2x) Ob)…

A: I am attaching image so that you understand each and every step.

Q: Find a formula for each function graphed below. a. b. (-1,4) -3 -5 (-4,-1) (1,2) (3,-2) O -3- (1,-2)…

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Q: f(x)= x² tan(x)

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