Find the limit: ху lim (x,y)→(1,1) x² + y²

Q: VALUE INSIDE THE CIRCLE cos² x Yp = D²+1 For given particular integral multiplying and dividing by 2…

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Q: = sin (5√) at the point (7²,0). Enclose numerators and denominators in parentheses. For example, (a…

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Q: For the differential equation y(n) + P₁(t)y(n-¹)+...+Pn(t)y=0 with solutions y₁, , yn Abel's formula…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞, co). f₁(x)…

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Q: Find the Jacobian (x, y) / d(u, v) for the indicated change of variables. x=u-v², y = u + v a(x, y)…

A: Follow the procedure given below.

Q: Rewrite the equation in exponential form.   ln(b)=n

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Q: Find the dimensions (in inches) of the open-top cylindrical tin can with volume 125 cubic inches…

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Q: Find the smallest number n of terms needed to obtain an approximation of the series 10 -6 n = k=1…

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Q: y = x², y = 4x - x²

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Q: f(x) = (x-1)^3 (x-1) (x-2)

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Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (0,2) 5 4…

A: Please see the below picture for detailed solution.

Q: Perform Basic Vector Operations Given d = (-5, - 10) and b = ( − 3, 3), find ||ď – 6|| and ||ď || –…

A: This is a problem related to vector operation. Please follow the procedure given below.

Q: Example 8 -[ If K= = A 12 9 12 15 3 0 2 } what is the value of k₁3 +k₁₁? B 9 C 3 D 5 E 18

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Q: Evaluate the integral. (Use C for the constant of integration.) s¯¹(x) dx COS

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Given: f(x)=1+3x-5x3

Q: 12. Let x be a positive real number and f(x) = log₁0x. Then f(10-x-2) is equal to: I1 f(x) B.…

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Q: Differentiate the following function: f'(x) = f(x) = e" + ce 니

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Q: (3x²-33x+90) 5x²-10x-120

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Q: 3. What is the arc length of y=e* from x= 1 to x=5? Draw the curve

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, ƒ'(1) = 1, g'(1) = 5. For the following…

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Q: Let f(x) be defined by f(x) = x² sin(x) + x³. Find f'(1). Note: Your answer (if it's not an integer)…

A: Please see the below picture for detailed solution.

Q: At the beginning of an experiment, a scientist has 160 grams of radioactive goo. After 90 minutes,…

A: topic- exponential function

Q: Consider the following second-order differential equation. 5y" + y = 0 Find all the roots of the…

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Q: Find the curve of best fit of the type y = aebx to the following data by the method of least…

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Q: Find the minimum distance from the point (-6, -6, 0) to the surface z = O√√559 O 3√61 09 O√773 O√69…

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Q: Find the derivative of f (y) 30% In(y) Enclose arguments of functions, numerators, and denominators…

A: To find the derivative of the given function.

Q: Evaluate the integral using the following values. 8 [³x x³ dx = 1,020, 2 [²x dx '8 8 L³x dx - 30,…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = √√√x, 3≤ y…

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Q: Estimate the slope of the graph at the points (x₁, y₁) and (x2, Y₂). At (x₁, y₁), slope At (x, y₂),…

A: We know:- sllope of a line passing through two points =y2-y1x2-x1

Q: The following chart shows student population in a certain elementary school over a 5 year period.…

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

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Q: A cube of ice is melting so that each edge is decreasing at the rate of 2 inches per hour. Find how…

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Q: Let f(x) be defined by f(x) = Answer: 3x² + 5x + 2 x + 2 Find f'(1). Note: Your answer (if it's not…

A: Topic - derivative of a function

Q: Exercise (c) Use the results of part (b) to estimate the slope of the tangent line to the graph of…

A: Given.

Q: Jse polar coordinates to describe the region shown. y -2 -1 1 1 2 Xx

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Q: A) Let g(x)=x² (5x+24 (2x + 8 a) lim x-1 b) lim X-0 a) lim g(x), lim g(x) x--3 x-0 B) Find the…

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Q: Describe a plane vector u 9 Vector Match the vectors p, q, r, s, and t with one of the combinations…

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. - 1/2 (u = v), y = 1/2 (u…

A: Jacobian ∂(x,y)/∂(u,v)= ∂x/∂u* ∂y/∂v - ∂y/∂u* ∂x/∂v

Q: Use Newton's method to approximate the given number correct to eight decimal places. √47 1.89969104…

A: Use Newton's method to approximate the given number correct to eight decimal places.476

Q: 5. The sum of thrice a number and two equals 6 less than four times the number. Find the number.

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Q: You are making a rectangular box with a square base. Its volume must be 8 ft^3 . Find the dimensions…

A: A rectangular box with a square base. Its volume must be 8 ft3

Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

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Q: Find div(F x G) = V. (F x G). F(x, y, z)= i + 7xj + 8yk G(x, y, z) = xi - yj + zk

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Q: Graph the solution to the following inequality on the number line. x² +8x≥-12 Note that you ca…

A: First we will find the zeroes and then fix the interval.

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: Given 16y''-40y'+25y=0

Q: Find the following limits (if they don't exist write DNE, ∞o or -∞o as appropriate): Answer: lim h→0…

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Q: Let f(x) be defined by f(x) = 3x² + 5x – 40. Let (a, b) be the point on the curve y = f(x) such that…

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Q: 2 + y²

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Q: The radius of a spherical tumor is growing by. centimeter per week. Find how rapidly the volume is…

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Q: 8 26 Type your answer without fractional or negative exponents. Use sqrt(x) for √√T. Find the…

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