d) 2.3 e) 2.8

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Q: Consider the integral A. Sketch the region of integration. B. Convert it to polar coordinates. C.…

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Q: Write the expression in rectangular form x + yi and in exponential form rei. 13 7π [4 [COS T5 + 1 18…

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Q: 5) Solve 3 x-6 x+2 5 IV and give your answer in interval notation.

A: To solve the following inequality.3x-6≥5x+2

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A: The given integral is t/(2t2+5)

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A: To solve the following problem and find the distance between points

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Q: Textbook Consider the function f(x) = 4x³ 4x on the interval [-4, 4]. Find the average or mean slope…

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Q: Question 7 Textbook T The smaller one is Videos [+] Consider the function f(x) = 2x³6x²90x +9 on…

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Q: If f(x) = (x6 + 4x) ³, then df(x) a) 3(x64x)² (x5 + 4) b) 3(x6 +4x)² Oc) (x6 +4x)² (6x5) da equals…

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Q: Find the slope of f (x) = ln⁡(3x^2+8)/(-2)  at (2,−1.50).

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Q: In which limits below can we use L'Hospital's Rule? ex Olim x → ∞ □ lim □ lim X Olim 1 x 0 sin(7x) x…

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Q: Question 2 and B and C Y Consider the function f(x) = 2x + 5x-1. For this function there are four…

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Q: Evaluate the following expressions. 17 a. Σκ K = 1 3 e. Σ 19 = 1 5m+5 7 7 b. Σ (2k +2) k=1 5 1. Σ…

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Q: ate the integral. 16 9 sec ²x dx sec ²x dx = [ an exact answer.)

A: Topic:- application of integration

Q: If g(1) = 5 and g' (1) = 2, find f'(1); where f(x) = xg(x).

A: Given: Now, we need to find f'(1). We have that f(x)=xg(x). So,            f'(x)=ddxxg(x)…

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Q: 1. Sketch the graph of the following function. Identify the domain and range. f(x)=√x-2 Domain:…

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Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index…

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Q: Find the length of the curve. x = 3t² +8, y = 2t³ +8,0 ≤t≤1 O 4√√2-1 O2√√2-2 4-√√2-2 O4√2 O None of…

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Q: Given F'(x) = 6, compute F(2) - F(-1). Use the formula f. ² F'(x)dr = F(b) - F(a).

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Q: 7. Differentiate: y = (x+ +9x)"

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Q: Obtain the general solution. (HOMOGENOUS EQUATION) 2. xydx (x + 2y)² dy = 0

A: The objective of the question is evaluate the differential equation.

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Q: 11. Evaluate (4t³ + 5)dt

A: let  A=∫(4t3+5)dt∫tndt=tn+1n+1+c

Q: Evaluate the definite integral. S -dz 3x² Simplify your answer. Type an integer or a fraction.

A: Given ∫1213x2dx=∫1213x-2dxNote :     ∫xndx=xn+1n+1so…

Q: 5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as…

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Q: To approximate a) [1, 5], [5, 9], [9, 13] using a Riemann sum with a partition of 3 subintervals,…

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Q: For the following vectors, (a) find the dot product vw; (b) find the angle between v and w; (c)…

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Q: (b) The polar equation r sin² 0 = 2 cos 0, 0 <0 ≤ 7/2 and the parametric equations -∞ < t < ∞…

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Q: The difference quotient of the function in the simplest form is a) 1 √x+h+5+√x+5 f(x) = 2√x+5

A: Please refer to the image below

Q: Calculate the value of ƒ (– 8, – 9) for the given function. Enter your answer as an integer or…

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Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information…

A: This question can be solved by applying the concepts of law of inhibited growth and function.

Q: Find the Jacobian of the transformation = u =u²+ 3v², y = 6uv. Question Help: Video Message…

A: jacobian(j)=∂x∂u∂x∂v∂y∂u∂y∂v∂xn∂x=nxn-1

Q: your steps in calculating i. f(x) = x³

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7 7 Suppose [f(x)dx=7₁ [f(x)dx=4, and g(x)dx= - 4. Evaluate the following integrals. [txidx= 2 2 2 2…

A: Given that a definite integral and we find the value of this integration when we change the order of…