11. lim 아 1 1 3 3x x-1 x → 1

Q: the answer I have is probably wrong. write it in a similar format though.

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Q: Integral 2: 1/2 1/2 e* dx √ x ex

A: 2​e​​−2π​erfi(2​1​)​≈0.32085932

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A: Question 1: Volume of a Cylinder in Terms of r Given:The volume of a cylinder: V=πr2hThe constraint:…

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A: To solve the initial value problem (y′+xk​y=0)with the initial condition ( y(1) = 3 ), we can follow…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Only one option is true

A: Solution-  Examining each statement carefully:(a): This is a direct application of the Mean Value…

Q: QUESTION 3 Evaluate the integral. 3 cost 5x dx ○ 9 X 2x + 2/10 sin 5x + 3 sin 10x + C 160 O 9 3 X +…

A: If you have any problem let me know in comment box thankyou.

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Q: Question 2 1 pts For the same curve as above, x(t) = t cos(t/2), y(t) = t², z(t) = t sin(t/2), a…

A: Step 1: Calculate acal Step 2: Solve using the formula for A.  Step 3: Use the given correct value…

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A: Step 1:Calculate the sum of the vectors (-i+3j-k) and…

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Q: Find the point - on the sphere (x - 4)² + y² + (z − 8)² = 1 nearest to the point (6, 0, 8).

A: To find the point on the sphere((x−4)2+y2+(z−8)2=1)that is nearest to the point ((6, 0, 8)), we'll…

Q: Verify by substitution that the given function is a solution of the given differential equation.…

A: ANS :7 ​​Fory1​=exCosx​​  Fory1​=exSinx​​     ANS :12 ​​Fory1​=xCos(lnx)​​ Fory2​=xSin(lnx)​​

Q: b Let a = (-3, 0, -1) and 6 = (3, -3, -2). Find the component of b onto a.

A: To find the component of vector b onto vector a, we use the formula: Component of b onto…

Q: 3 Approximate 10 using the linearization, L, for f (x) = ✓✓✓ centered at C = 8, given below. L(x) =…

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Q: Verify that the function is a solution of the initial value problem.

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Q: Find 6 +0 such that b = So (x − 1)dx - – = 0. Previous Page Next Page Submit Quiz 0 of 25 questions…

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Q: Solve the Clairaut Differential Equation: y = xp + ep dy Where p = dx

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Q: A. find dy/de if 0+5 y = 8 cos 0 y = ln B. find dy/dx if C. Using the rules of logarithms, rewrite…

A: Step 1:Let z(x)=f(g(x)). Then the chain rule states: z′(x)=f′(g(x)).g′(x) (A.) It is provided…

Q: Evaluate the integral. dx S (4x+715 1 + C 24(4x+7)6 4 + C 4(4x+7)4 1 16(4x+7)4 4 + C 4(4x+7)5 +C

A: We evaluate the integral∫(4x+7)51​dx by using a substitution method. Step 1: SubstitutionLet u = 4x…

Q: Evaluating Limits Graphically Below is the graph of the function f: -18 10 15 + 10 -10 Determine the…

A: • From the given graph webfind that the vertical line x = 1 is asymptotic to the given curve, i. e.,…

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Q: Evaluate the integral √x-2 dx √x x = 4√√√x+C - x+4√√√x+C Ох - √ Main Content x = √√x + C Previous…

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Q: (3)

A: We are given the function f(x)=sin(x)*cos(x). This is a product of two functions, sin(x) and cos(x).

Q: 2. Solve a. f b. S C. S. dz 22-25 dx 9-4x-x2 dx x²+6x+16 d. S e. S dx dx √25-x2

A: Let's solve each of the integrals one by one: (a) ∫z2−25dz​ This integral can be solved using the…

Q: 3. Find the limits a) lim X-70 4 3x

A: Step 1: Understanding the FunctionThe expression we're considering is 4/3x1/3​, where x1/3 is the…

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A: Given:Differential equation: y' = (x2 + y2)2Initial condition: y(x0) = y0Theorem 2.3.1…

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Q: Find solutions to the following initial value problems. 2) y' = 64 b) y = tet AAGA PAAAAAAAAAAAAA…

A: Problem 1: y' = 6y  Step 1: Identify the Type of Equation This is a first-order linear ordinary…

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Q: 11. Factor the following polynomials: a) x²-4x-5 b) x²+10x+25 c) x3 +64 d) 10x219x - 15 e)…

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Q: 8. Simply the expression exp [In(x²+3x)-2 ln(x+3)].

A: If you have any problem let me know in comment box thankyou.

Q: Solve the equation for X : S² (4t — 9) d t = −4. 4 or 0.5 -4 4 no such X Previous Page Next Page…

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Q: - Determine the following: a. S b. S. c. S d. S e. S 1 49-y2 dx 5+Cos²x 2 dx dy x²+14x60 dz…

A: Problem (a): ∫ (1/√(49 - y²)) dy Step 1: Recognize the Standard Integral FormThis integral is of the…

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A: Step 1: Assign x-values based on the graph (I will use as many x-values as possible in order to make…

Q: Let f(x) = 4+x if x < −2 if -2 ≤ x < 2. 6 x - if x ≥ 2 Sketch the graph of f. y 4 SH 3 2 4 2 2 4 2 X

A: ANSWER :​​   I have provided another graph without points, so it'll  be clearly visible .Here it is…

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A: The given values are:Number of marriages per year in the US = 2.2 millionNumber of hours in a year =…

Q: a direction field is drawn for the given equation. Sketch some integral curves.

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