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Q: For which of the following limit expressions does L'Hospital's Rule not apply lim x-1 x 1 - lim…

A: The L'Hospital's Rule applies when the limit in the form of To check the following limits…

Q: Consider the following. u = (2,-1), v = (4, 1) (a) Find u . v. U⚫v= (b) Find the angle between u and…

A: Step 1: Given vectors are;u= <2,−1> and <4,1>∴u=2i^−j^​ and v=4i^+j^​ Step 2:…

Q: 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9≤ x²+ y² ≤25 by converting…

A: To evaluate the double integral  over the region by converting to polar coordinates.

Q: 2. Given the following graph of velocity versus time, find the displacement and the distance…

A: Given the following graph of velocity versus time, to find the displacement and the distance…

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Q: 2. Area of a circle: Consider the polar equation r = 2Rsine. Sketch the graph and note the limits…

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Q: evaluate the following limits x approaches infiniy square root (7+11xsqaured)/5+8x). and x…

A: Step 1:Step 2:

Q: 20 Σ 24 1822 i=1 8 + 323 4 - 3r² + 15 5 12

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Q: Complete the given table. (Enter the logarithm function in the form log(b).) Exponential Form 45 =…

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Q: For the given function, (a) find the slope of the tangent line to the graph at the given point; (b)…

A: Need to find out the slope of the tangent line to the given function.

Q: Find the maximum volume of a rectangular box whose surface area is 1300 cm² and whose total edge…

A: The surface area of a rectangular box is given by: A=2lw+2lh+2wh The total edge length is given by:…

Q: Consider the function f(x) = 2x²-x-5 and complete parts (a) through (c). (a) Find f(a + h); (b) Find…

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Q: show all steps please! thank you!

A: The slope of the tangent line at point (x,y) is given as

Q: Find the curvature of the curve defined by (t) = (3 cos(t), 8 sin(t)) at t = π.

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Q: (2n)! Use the binomial series to find the Maclaurin series for the function. (Use for 1 3 5...…

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Q: Solve the initial value problem t2 dy - t = 1+y+ty, y(1) = 3. dt y = =

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Q: express with spherical coords, then evaluate. show all steps

A: 2π(3−3​)Explanation:To solve this, we can use spherical coordinates: x=rsinθcosϕ   y=rsinθsinϕ…

Q: Find the maximum or minimum of the function. y = 2p2 + 10p − 4

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Q: [" (cos x + 3x4) dx

A: given integration

Q: Problem #4: Suppose that the function f(x) is defined as f(x) = 7 sin²x-3 sin x cos x + 2 cos² (2x)…

A: Step 1:Step 2:

Q: 5x²+5x+2. If Ax 0.2 at x=2, use linear approximation Let y to estimate Ay Ay

A: Let  If , then by using linear approximation to estimate .

Q: 1. Evaluate the following definite integrals: 2 b) 3x3 (3x4 - 2)5 dx re-(z2−1)/2 dx

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Q: Suppose a person wants to travel D miles at a constant speed of (60+x) mi/hr, where x could be…

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Q: Choose the integral that represents the area of the shaded region.

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

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t-u, y = stu²…

A: Given: To Find: To find

Q: Find the equation of the tangent line at the given point on the following curve. 2xexy = ex5+ yet? ‚…

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Q: series converge or both diverge. (1) Use the Limit Comparison Test to determine whether the series 1…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: (3) Find all critical points of f(x,y) = -x³+3x+13-31² and classify each as yielding local max.,…

A: Critical points: (-1,0),(-1,2),(1,0),(1,2)Saddle points: (-1,0),(1,2)Relative maximum:(1,0)Relative…

Q: HELP ASAP

A: The answer is given below.Explanation:

Q: ABC is a triangle with AB = 12, BC = 8, and AC = 5. Find cos(A). Note: You are being asked to find…

A: The objective of this question is to find the cosine of angle A in a triangle ABC, given the lengths…

Q: For the given function, (a) find the slope of the tangent line to the graph at the given point; (b)…

A:

Q: Let f be defined as follows. y = f(x) = x² - 3x (a) Find the average rate of change of y with…

A: given function

Q: I keep asking for help for the same equation and only receive partial. Please answer each section of…

A: To find the price the company should charge for the cameras and the quantity of cameras it should…

Q: 8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z…

A: The objective of the question is to determine the direction and rate of change of the elevation of a…

Q: 2) Evaluate the following definte integrals: a) 4√-3V

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: I GOT THIS WRONG CAN YOU PLEASE EXPLAIN STEP BY STEP

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Q: Test the series below for convergence using the Ratio Test. n42 6"-1 The limit of the ratio test…

A: Approach to solving the question: Detailed explanation:

Q: -17 P(X?) A X X 17

A: Step 1:Step 2:

Q: 4. Mixing Concentrations (Differential Equations) Consider a one-litre tank filled with a saline…

A: The objective of this problem is to find the mass of the salt in the tank and the concentration of…

Q: Find f(g(x)] and g[f(x)] for the given functions. f(x)=10x-8, g(x)=3-4x f(g(x)] = (Simplify your…

A: The given function is

Q: 10. Sally reasoned that if she drove 30 km/hr in one direction over a 180 km distance, and then…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Let аз +-(633) A and suppose that det A = 8. Determine det B if b3 B = a15c1a2+5c2 a3 +5c3 -3c1 -3c2…

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = √1-x2 f(x) = 1 + DO…

A: To find the Maclaurin series for f(x)=1−x2​1​, we use the binomial series expansion. By substituting…

Q: 8. Find (as described by The Mean Value Theorem for Integrals) for the following function on the…

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Q: 1 cos" (x) dx = sen(x) · cos"−1(x) + · . cos"-2(x) dx 1-1/co

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Q: Solve (t² + 4) da = (x² + 16), using separation of variables, given the inital condition x(0) = 4. x…

A: To solve the following initial value problem by using separation of variables.

Q: I need help with question 4.

A: Approach to solving the question: Detailed explanation:

Q: 6a

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the area between the curve of g(x) = 3x² · - 3 and the x-axis, from x = 1 to - x = 5.

A: Since in first question it is asking to use graphing display calculator so kindly mention if you…