lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

Q: Find dy/dx and d²y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: We assume that in a village there are farmers, carpenters, and tailors, who provide the three…

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Q: Sketch the region enclosed by the given curves, y = 3x² and y = x² + 4. Find the area of the region.

A: Given curves are y=3x2 and y=x2+4.

Q: Air traffic controllers continuously monitor the angles of elevation and to an airplane from the…

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

Q: The price (in $) of a cookbook is determined by the number of cookbooks x demanded by consumers and…

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Q: If tan(0) Hint = sin(0) = cos(0) = sec (0) = 15 - 8 ) 0 ≤0 ≤ 90°, then the exact value of

A: Here we have to find the other trignometric function.

Q: Show that the following function is decreasing on [1, +∞)

A: Let, f(n)=2-nn Now, to find f'(n) using the quotient rule for derivative…

Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

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Q: (y³ − 3y + 2)√9+ x²dx + x²dy = 0

A: To find the general solution to the given differential equation.y3-3y+29+x2 dx+x2 dy=0

Q: ASIC ( Determine the intervals on which the given function is concave up or concave down and find…

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Q: A = 21° 45', a = 9.5, b = 22 se 1: = ° (smaller B-value) Case 2: B = C = C = O X (larger B-value)

A: topic:- trigonometry ratio in triangle

Q: (b) | sin³(x)dx

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Q: M8 3k Σ k=0 ³√/K³ +2 elect the correct choice below and fill in the answer box to complete your…

A: Given :∑k=0∞3kk3+23

Q: (c) (i) Show that the equation (3x²y²-10xy²)dx + (2x³y-10x²y)dy = 0 is an exact equation. (ii) Then,…

A: We need to show that the given differential equation is exact and also we need to find out the…

Q: Find the linear least squares polynomial approximation to f(x) on the d. f(x)= e, [C

A: The solution is given below

Q: In some manufacture company, which sales certain product, the price function p and the cost function…

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Q: Find the x-coordinate of the centroid of the area bounded by y (x² − 9) = 1, y = 0, x = 7, and x = 9…

A: Given: yx2-9=1

Q: Find the domain of the following rational function. 20x² H(x)= + X O A. x² +2 Select the correct…

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Q: (a) Find the derivative of f (x) = (x² + 2) (4x − 3) by first expanding the polynomials. Enter the…

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Q: Consider the following equation. y Find any intercepts. (If an answer does not exist, enter DNE.)…

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Q: Determine if the differential equation (3x2y + ey)dx +(x3 + xey - 2y)dy = 0 is or is not exact; if…

A: Given problem:- Determine if the differential equation (3x2 y + ey )dx +(x3 + xey - 2y)dy = 0 is or…

Q: Use a graphing utility to find the points of intersection of the graphs of the equations. Check your…

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Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

A: Given problem:- f(x) =-13/(x2 -11x+36)  To find:- Critical points where local maximum and minimum…

Q: 2. 3 6x - 12 is divisible by 3x 4. There is no remainder. Find the value of 9. Show all your work. -…

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Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

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Q: Let f(x) = (x - 11)3/5. Find the critical points c that correspond to local minima. (Use symbolic…

A: topic - critical points , Local extrema and points of inflection

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

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Q: 2. Find the gradient of the following functions a. F=x²sin(5y) b. F = x¹yz c. F=x³exy + ²x

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Q: Use the figure, which shows two lines whose equations are y₁ = m₁x + b₁ and y2 = m₂x + b₂. Assume…

A: The solution is given below

Q: Your broker has suggested that you diversify your investments by splitting your portfolio among…

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Q: (a) Find the derivative of f (x) = (x² + 2) (4x − 3) by first expanding the polynomials. Enter the…

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Q: We assume that in a village there are farmers, carpenters, and tailors, who provide the three…

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Q: Question 8 If f(x) = x² + 1, choose the correct value of f(x + 1). (a) f(x + 1) = x² + 2 (b) f(x +…

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Q: Calculate the first eight terms of the sequence of partial sums correct to (-1)^-1 n! 1 2 لیا A 5 N…

A: Topic:- sequence and series

Q: 9. 23/2 3√x+1 - S dx

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Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v= 26 m/s on Mars,…

A: NOTE: Refresh your page if you can't see any equations. . the initial velocity is the gravity of…

Q: The table below shows the velocity of an object (cm/sec) at each sec as it moves along a track for…

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Q: List the terms of the sequence below from n = 1 to n = 5

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Q: Find the vector component of v = (4,-1,7) along b = (4,4,-7) and the vector component of v…

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Q: Solve the equation. (Find all solutions of the equation in the interval [0, 2π). Enter your answers…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find the directional derivative of the function at a given point in a unit direction.

Q: Find the interest rate needed for an investment of $10,000 to grow to an amount of $13,000 in 6…

A: I have appended the formula used in the solution part of the question

Q: Find u - v, 2(u + 3v), and 2v - u. 8 u = (6,-8, 4, 3), v = (-2,3-3-1) (a) u-v=

A: Please refer to the image below

Q: By using the substitution z = cos y, show that the differential equation dy cot y dx X can be reduce…

A: Given differential equation,dydx - cot yx = e3x cosec y

Q: 5 Find a parametrization for the line segment joining the points (0, 2) and (4,0) using the angle in…

A: A parametrization for the line segment joining the points (0,2) and (4,0) using the angle θ in the…

Q: 1. Explain what it intuitively means for function f(x,y) to be continuous in some domain D.

A: To explain the meaning of the given statement.

Q: 2. Calculate (4x³ – 6x² – 14) (x + 6) using long division. Show your work! -

A: Perform long division method

Q: Using Trapezoidal Rule, with n = 10, approximate the ntegral below. Give the error of approximation…

A: To solve the following problem using trapezoidal rule

Q: Compute derivative for the of the

A: Given: hx=log2x232x3

Q: ∞ (-1)kk5 Σ 12 k=1 √k +4 Does the series Σak converge absolutely, converge conditionally, or…

A: Given series: ∑k=1∞-1kk5k12+4We need to to check its convergence.