1. lim f(x) = *-5+ 2. lim f(x) = +0-x 3. lim f(x) = X-7- 4. lim f(x) = 1-24

Q: • (√x + 1)² √√x -dx

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A: This question is related to equation of sphere, we will solve it using given information.

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Q: 2. Evaluate the double integral over the rectangular region R. (a) ffx√1-x² d4; R={(x,y):0≤x≤1,…

A: dA is the small changes in area due to small change in lenght and breadth i.e dx and dy so dA can be…

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A: (s). Given: I=∫25-x2dx   ...1   As we know the common integrals;…

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Q: Choose the angle (in radian) between the following two vectors u = and v = O 2.059 00 - O None of…

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Q: 2.) dy 1) = x - (²2²) y = x ² ex ; x = 1, y = 0 dx P(x) = = = = Q(x) = x² ex X Standard form: dy dx…

A: Given differential equation dydx-2x y=x2 ex  ; x=1 y=0

Q: [5] The graphs of f(x) (in red) and f'(x) (in blue) are shown. Determine.... 1. [4.1, 4.2, and 4.3]…

A: Let's solve.

Q: 1 S. dx 3 (2x 012

A: Consider I=∫1( e2x-9)32 dx

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A: To find out the solution of the differential equation.

Q: Use the rules for sums of powers of integers to compute the sum. 18 Σ; j=5

A: We can find the answer in the following steps.

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Q: Assume x and y are functions of t. Evaluate dt y³ = 2x² +6: dx dt -=4, x= 1, y = 2 for the…

A: Please follow the next step.

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A: Here we have to find the shortest distance.

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Q: In the following limit, identify f(x), a, and L. Select the correct answer below: O f(x) = -x + 2; a…

A: A detailed solution is given below

Q: 4 B 6) Find the value of cot t if cos t = a) √/3 O b) 01/12 c)0 V₂ d) 0 1 Previous Next - and T < t…

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Q: Exercise: Find the area 1. 2. of the region bonnetest bounded y= q x², x=0, x=2, x-axis. y=x²+₁,…

A: See this solution in below

Q: write this on paper. I need a step by step handwritten work not just the online calculator

A: Given the series,     ∑k=1∞3k3+3k2+5

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Q: Evaluate the integrals: 1. ftan5 x dx 2. f sin 2x cos 3x dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: n. >()=x+5 t: 0/2 t 1 of 2 op)(x) = X S 8 E

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Q: Compute dy if y=U³₁, V= dx 4x+1

A: Differential

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A: Here we have to use Riemann right end sum

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Q: \(\) The vectors u= and U= are not orthogonal if and only if x=-136 Select one: O True O False

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Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)=

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Q: What does the index value of 78.8 in 1990 mean? Explain your reasoning. Year 1960 1970 1980 1990…

A: Ratio of the gas price index in 1990 to the gas price index in 2000 is 0.788.

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A: Given: To determine: value of a and b

Q: Fundamental

A: We have to explain the Fundamental theorem of calculus

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A: Solution of given question is written in below steps.

Q: Find the general solution of the differential equation 49y" + 112y + 64y = 0. NOTE: Use C₁, C₂ for…

A: We have to find general solution of given DE.

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Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

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A: This question is based on application of integration.

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Q: SOLVE THE EQUATION X = ex-1

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Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: Solve the initial value problem y"+y' - 56y = 0, y(0) = a, y′(0) = 48. Find a so that the solution…

A: Solve the given differential equation as following:-