f(x) = x² In(x)

Q: Determine the following limit. 32w² +7w+3 lim W-∞ 16w 3 +W

A: limw→∞​16w4+w3​32w2+7w+3​=limw→∞​w216w4+w3​​32+w27w​+w23​​=limw→∞​w416w4​+w4w3​​32+w7​+w23​​=limw→∞​…

Q: A cylindrical tank with radius 5m is being filled with water at a rate of 2 m3/min. How fast is the…

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Q: Only one can be true

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Q: Use the graph of h in the given figure to find the following values or state that they do not exist.…

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Q: PLEASE DO IT ON PAPER. This is calculus show all work

A: Everything in RED is just for your understanding. Please don't include those in your answer!

Q: solle не ۱/۱ 2 z² + 1 ²+1 dz 3 3 cus x sin³ x dx で T=T [く] M

A: We have two integrals to solve:∫ (1/2) z² + 1 dz∫ sin³ x dx

Q: 6. Solve the following wave PDE with Fourier transformation. a² Ou Ot2 მ2 +Po, BC: Lu(0,t) = {(l,t)…

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Q: Homework.aspx?homeworkId=67490304 lus L Question 1, 2.1.15 Part 1 of 4 د Use the graph of the…

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Q: 5. Find the acute angle between the lines and 11 r1(t) = (0,2,0) + t₁(−5, −1, −2) : l2 : r2(t2) =…

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Q: I need help with this problem and an explanation for the solution described below. (Calculus 3:…

A: The first problem is asking us to evaluate the line integral of a vector field F along the boundary…

Q: 22. Let ƒ be the function defined by ƒ (x) = 2x³ – 3x² – 12x + 18. - On which of the following…

A: Solution of the given question is like as

Q: Find the derivative of the function. y = 2x² +3 x² +1 y' = ...

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Q: Can you determine the intervals where f is increasing and intervals where f is decreasing and can…

A: The function given is f(x)=3x(x-1))2.

Q: Evaluate indefinite integral

A: Step 1:The provided indefinite integral is:∫x2169x2−100​64​dx Let x=1310​sec(t)Then,…

Q: x² 23.x 4469 The velocity of a car in miles per hour varies according to the function F(x) = + where…

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Q: HELP EVALUATE THE INTEGRAL PLEASE

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Q: Use the second derivative test to identify any critical points and determine whether each critical…

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Q: Determine the following limit. lim (30π²) 30元 X-3500

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Q: Consider the function f(x) = 6x - 9 on the interval [-7, 4]. Find the absolute extrema for the…

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Q: √x² +25 x4 -dx :/

A: The solution above contains some errors in the simplification steps. Let's re-evaluate the integral…

Q: Don't use chatgpt will upvote and provide solution in Handwritten form neat and clean and please be…

A: If your computer does not support -86.577 0 then put +86.5770 south of west.  sorry for latethank…

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Q: If h(x) h'(1) = 25 = 3+2f(x), where f(1) = 3 and f'(1) : × = 5, find h'(1).

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Q: C Assessment - All Derivatives, All the Time! Outcome 8: Applying Derivative Rules for Complex…

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Q: MAT 134 - 770 Summer 2024 = Homework: Section 1.1 Homework Question list Question 1 Question 2 K…

A: The function given is G(x) = 1 / (x + 4). This is a rational function, where the numerator is a…

Q: 9:35 AM Wed Jun 19 ← Save & Exit Certify Lesson: 3.4 Increasing and Decreasing Inte... Question 2 of…

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Q: Let F(x) = f(x)+ g(x), where the graphs of f and g are shown in the figure to the right. Find F'(2).…

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Q: INSTRUCTIONS: As mentioned, try your best on the following questions, being sure to show your work…

A: Step 1: To find g(3) Step 2:To determine the open intervals on which g is both increasing and…

Q: оне dx 2 X√1+Lu² (x²) Secx sin 3x d x ۱/۱ ✓ で [H T =T TH ☑ M

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Q: Evaluate the following integrals, clearly showing all of your work.

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Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

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Q: (x²+2 if x 1 (a) Determine the value of a for which f is continuous from the left at 1. (b)…

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Q: Use a linear approximation (or differentials) to estimate the given number. (Round your answer to…

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Q: Use the table given below to find h'(1), where h(x) = g(f(x)). xf(x) g(x) f'(x) g'(x) OA OB Oc D A.…

A: We are asked for the value of h'(1) or the derivative of h at x = 1.  First let's solve for the…

Q: 4. Find parametric equations for the line on which the planes x+y z=0 and x + z = 3 meet.

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Q: On what interval(s) is the function f(x)=x-4x³ both decreasing and concave up? (Enter your answer…

A: Step 1: Find the first derivative f'(x) to know which intervals f(x) are decreasing.Remember, f'…

Q: Write a polar equation for the graph below. Enter theta for if needed. 999 777779 T(0) = Question…

A: 1. The figure shows a circle centered at the origin.For a circle centered at the origin, the polar…

Q: Given the graph of f'(x) shown below, find all r-values where f(x) has a local minimum. OA OB C A. x…

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

Q: Find the value of the determinant. -3 7 -32 The value of the determinant is

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Q: Suppose that a large mixing tank holds 400 gallons of water in which 60 pounds of salt have been…

A: To determine the differential equation for the amount of salt A(t) in the tank at time t, we need to…

Q: - - Let f(x) = x48x3 + 2x + 3. (a) Find the interval(s) where f(x) is concave up. (Enter your answer…

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Q: Use the definitions of hyperbolic functions to find the numerical value of each expression. You must…

A: Step 1: Identify the definitions for all hyperbolic functionssinh(x) = (ex - e-x)/2cosh(x) = (ex +…

Q: 1 Determine whether the following sequences converge or diverge. Justify your answer. (a) { 2, 10,…

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Q: 1 Find each of the following values given that f(x) = and g(x)=4x+2. √√x+5 a. (f+g)(-1) c. (f⚫g)(-4)…

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Q: 3 Find the area of surfaces generated by revolving the curves indicated below about the stated…

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Q: Evaluate the following integrals, clearly showing all of your work.

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Q: please help thank you somuch

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Q: Directions Listen - Use graph transformations to draw a graph of the function g(x) = −32x+1+7. Show…

A: To graph the function  g(x)=−32x+1+7  using graph transformations, we will follow these steps: ###…

Q: dy ☐ ☐ 4. For the differential equation Δη = dx 0.2, use Euler's Method to estimate the y-value at x…

A: ###(4)Euler's Method is a numerical technique for solving ordinary differential equations (ODEs)…