Evaluate the following limits: x² -9 i) lim x-1 √x-3

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A: Step 1: Step 2: Step 3: Steps are given for solution of this.  Step 4:   If the solution was…

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Q: #4, 17 Hello! Can you please help me solve this Calculus problem? It's seen in the attached image.…

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Q: Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use…

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Q: Please help on all questions asked. Please show all work and steps. Please circle the final answer.

A: 1:   2:

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Q: The differential equation 2 bx [a y sin(5x) + 2e³× cos(4 y) +mx²] dx + [cos(cx) + 2e³ * sin(4y)] dy…

A: Step 1:Step 2: Step 3: Step 4:

Q: 1) y=x-2x² - 3 a) Finding all intercepts (Hint: Equation factors into (x² - 3)(x² + 1)! b) First…

A: b)Part d

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Q: Find the following using the table below. X 1 2 3 4 f(x) 2 1 3 4 f'(x) 1 4 2 3 g(x) 2 1 4 3 g'(x) 2…

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Q: Let S be the parabolic arch given by r(u, v) = (u+v, u−v, 4-u²) where (u, v) € [−2, 2]×[0, 1].…

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Q: Given that et cos (2 t) equation y + and b is equal to " a y is a solution of the constant…

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A: The second derivative test determines where the function is concave up or concave down.Remember that…

Q: #4, 13 Hello! Can you please help me solve this Calculus problem? It's seen in the attached image.…

A: f(x) is continuous for each x, where −∞<x<∞

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Q: Find D f(1,2). น f(x,y) = 2x2 3xy + 6y

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Q: The Method of Cy X MTH 252 6.4 Volumes X MTH 252 6.4 Volumes X myPSU…

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Q: find by lagrong theorm Soultion general Soultion: (y +1) P + (x + 1) q = 2+1+)

A: Step 1: Step 2: Step 3: Step 4:

Q: X 0 1 23 4 f(x) 3 2 1-2 3 f'(x) -2 -1 2 4 1 0 540 6 4 W3 0 X 0 1 2 g(x) 13 5 g'(x) 2 3 -2 320 756 4…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculus Question

A: Approach to Solving the Question: After reviewing the screenshots, I can provide a step-by-step…

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Q: This question builds on an earlier problem. The randomized numbers may have changed, but have your…

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = x…

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A: a. As x approaches 2 from the right, f(x) approaches -1.b. As x approaches 2 from the left, f(x)…

Q: Evaluating the limit it comes out to be lim lim 7x35 xx-x²+6x 7x3 - 5 x9 + zx— xxxx " Write the…

A: Step 1: Step 2: Step 3: Step 4:

Q: 5. √ sin³ x cos² x dx

A: To integrate sin3(x)cos2(x)dx, use the trigonometric identities and substitution. Here's how to…

Q: Answer the given questions. Please show step by step working outs

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Please help on all asked questions. Please show all work and steps. Pls circle the final answer.

A: ANS : ( a )​​   ANS : ( b )​​

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A: 4. A standard parabola y=x2 has a vertex at the origin (0,0) and opens upwards. In order to shift…

Q: Which of the following is a solution of the initial value problem S 1 Sy ln(y) dx + x dy = 0 \y(e) =…

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A: Given that : The vector field : Explanation: Given vector field is written here. Part(a): Step 1:…

Q: Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use…

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Q: Please help on all asked questions. Please show all work and steps. Pls circle the final answer. pls…

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Q: Please help on all asked questions, Pls show all work and steps, and circle the final answer.

A: We need to evaluate:limx→2−​x2−4​ Step 1: Simplify the Expression Inside the Square RootThe…

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Q: Express the number as a ratio of integers. 4.739 = 4.739739739...

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Classify each of the following first order differential equations (x + 1) y' + (x + y)² = x² У xy…

A: Explanation:

Q: P1:Solve the following differential equation using laplace transform 2- y₁ = -y 2 y₁₂ = y₁ y₁(0)=1…

A: Q1: System of Differential EquationsGiven:y₁' = -y₂y₂' = y₁y₁(0) = 1y₂(0) = 0Solution:1. Apply…

Q: Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use…

A: Step 1:Step 2: Step 3: Step 4:

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