Find an equation of the tangent line to the graph at the given point. (x + 2)² + (y - 3)² = 37, (-1, -3) y = Circle 9 -6 -4 X -2 (-1, -8 6 2

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 A) lim x → 2- B) lim x → 2+ 5- 4 3 2 1 D) f(2)=…

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A: The given function is  and the interval is .The current situation can represents as shown below.

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Q: tan³ x sec¹ x dx

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Q: 2. Consider the function, f(x) = 2x + 2. a) Givene> 0, find 8> 0 so that if 8 0 f(x) -도<2x+ㄹㅅㅌ ㄹㄹ ㄹ…

A: In this question, we will find the limit by using the episilon-delta definition.

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Q: 3. Differentiate with respect to the corresponding independent variable for each of the following…

A: The given function is "As per the rules, we are supposed to answer the first question, and rest of…

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Q: f(x, y) = x² - 4xy + 5 R = {(x, y): 1 ≤ x ≤ 4,0 ≤ y ≤ 2} absolute maximum absolute minimum (x, y, z)…

A: Absolute maximum : It is the maximum value of the function within the given region.Absolute minimum…

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Q: kr If f is integrable, then Sek² f(ekz) da = f(x) dx

A: Given that,  is integrable.We need to check, whether the following expression is true or false..

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Q: Use numerical evidence to estimate the value of the limit to at least 2 decimal places. x² + 2x - 63…

A: Explaination of the answer is as follows

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Q: Consider the following. Function Point √2 8 (a) Find an equation of the tangent line to the graph of…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [-8,…

A: f(x)=7, [-8,1]

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A: Distance between two points  is given as follows

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Q: Prove that if A is a square matrix, then B = (A + AT) is a symmetric matrix. Here AT denotes the…

A: The given matrix  is symmetric matrix and .The aim is to prove the matrix  is symmetric matrix.

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Q: If f(x) = 20x + 23, find ƒ'(−9).

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Q: Discuss the continuity of the function f(x)= [x², x≤1 1+x, x>1 at x = 1.

A: given function To find: continuity of the function at x=1

Q: Find k so that the following function is continuous on any interval. kcosx x ≤ 0 { x > 0 j (x) = 8x…

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Q: (a) Write 9 as a function of x. 8(x) = when x = 5 Need Help? (b) The speed of the plane is 380 miles…

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Q: Roughly 12,000 people in a certain country are diagnosed with thyroid cancer every year, which…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval…

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Q: 1 ef= ² dr. 3 x-4 Evalute (a) 0 (b) -1/4 (c) In 5 - In 3 (d) π/2 (e) The integral diverges.

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Q: Step 2 Now we can say that the volume of the solid created by rotating the region under y = 12e-x²a…

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Q: lim 8118 12x² - 15x - 12 x³ − 3x + 1

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Q: The slope of the tangent line to the parabola y = 2x² - 2x + 7 at the point where x = 5 is: The…

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Q: 1 Evaluate Σ(3x - 2)² a): 136 b) 335 c) 432 d) 353

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

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Q: 10. Show that the polynomial p(x)=x²-3x³-x² - 4x-20 has at least two distinct roots (Hin use the…

A: We have given,   f(x) = x4 - x2 - 4x - 20

Q: Find the Laplace transform, F(s) of the function f(t) = (e4t - e5t) ², t> 0 F(s) = S> 4

A: Laplace transform of exp(at) is equal to (1/(s-a)), where s&gt;a.

Q: 3. 1 2 4 -3 Let A = and let f(x) 2x3 4x + 5, g(x) g(A). Remark. In the evaluation of f(A),…

A: A=[1   2     4    -3]f(x)=2x3-4x+5g(x)=x2+2x+1Findf(A) and g(A)

Q: Find dy/dx by implicit differentiation. x6 + y² = 23 Step 1 With implicit differentiation, we…

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Q: Evaluate f/4 cos³0 (sin 0) ³/² de. −1 (a) 4√2 8 (b) 5 45 (c) (d) (e) 13 90/2 5√2 12 23 90 2

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Q: In applications, most initial value problems will have a unique solution. In fact, the existence of…

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Q: f(x) = sin(0), 0 - 10 <0 <0 0 ≤0 ≤ 10 Find lime 5 f(x). If the limit does not exist, write "Does not…

A: Given: To Find .