S 1 xvx²-2x dx = √x²-2x X +C

Q: -0.4t The rate, r, at which people get sick during an epidemic of the flu can be approximated by r…

A: Solved below.

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Q: (3x-x²) dx x² Reciprocal Substitution

A: Let's find.

Q: . Consider the integral f sin ¹x dx. If we let u = sin-¹x and dv = dx, the integral can be written…

A: answer is in next step

Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

A: We have to find k(t)

Q: Given: √√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? A…

A: The given integral is: I=∫-x2+4x+5dx=∫9-4+4x-x2dx=∫9-4+4x-x2dx=∫9-(x-2)2dx

Q: 2z+8 (z+7)4 dz

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Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the…

A: Concept: As we know that a equation of the line through the point (α,β,γ) and perpendicular to the…

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Q: √x²+a² =dx = _ (x²+a²)² 3a²x³ +c

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Q: Using partial fraction in evaluating Ⓒ-1/2 (2x+1)+ 7/7/ A B 2x-6 © 1/2-(2x+1)= 1/7/2 D 6-2x…

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Q: || ti + t²j||dt|

A: Explanation of the answer is as follows

Q: rage value of the function over the given interval and al e function equals its average value. =…

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Q: y = 1 V25-x2

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Q: List intervals on which the following function is INCREASING. Use INF for infinity, use no spaces,…

A: The given function,    fx=3x2-1

Q: -2√4x²+k

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Q: d d Calculate[ri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and…

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Q: Choose ALL of the following intervals on which the following function is continuous. 2-4 f(x) = 2²²6…

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Q: the graph of y = x³ - 6x² + 9x - 2 where the t

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Q: Cristina wants to enclose a rectangular field with four internal partitions as shown. If there is…

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Q: What can you say about the series Σan in each of the following cases using the Ratio Test? Answer…

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Q: A B Consider the integral f sin ¹x dx. If we let u = sin-¹x and dv= dx, the integral can be written…

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Q: Given the integral [ cot³x csc5x dx. If u = cscx, then the integral can be re - written as: (a). f…

A: We will substitute u=cscx and then calculate the rest.

Q: Find the inverse of f(x) f-¹(z) = . ✓ 3z + 1 -3x+4

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Q: lim 3 24-8 LIMIT VALUE: H 11-2r

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Q: . The voltage,V, in a circuit is slowly dropping at a rate of -0.01 volt/sec as the battery wears…

A: I have appended the formula used in the solution part.

Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Determine the number and type of solutions for the equation - 3x² + 14z 15 0 =

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Q: Find the area of region bounded by the graphs of the equations. 1. y = 5x² + 2, x = 0, x = 2, y = 0

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Q: Find the radius of convergence, R, of the series. Σ (x - 7)" 07 n=1 R = Find the interval, I, of…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: dx 1+tan x

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: Given the integral S cot³x csc5x dx. If u = cscx, then the integral can be re-written as: (a). f (u²…

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Q: Using integration by parts, Then k is? (a) - 1.5136 [x² cos(x²) dx = k - [*x sin(x³) dx fx 0 (b) -…

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Q: f(x, y) = 3x² - y x4 x² + 2y ² 1 (x, y) = (0,0) 2 D (X,Y)= (0,0) 1 Determine if f is continuous at…

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Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

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Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: Find F'(x). +2 x+² (4t + 1)dt a. F(x) = b. F(x) = ft³dt sinx c. F(x)=√t dt d. F(x) = f sin t² dt e.…

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Q: Find F'(x). SOLUTION IN HANDWRITTEN x 1. F(x) = sin √t dt 2. F(x) = sin t² dt

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Q: The height y (in feet) of a ball thrown by a child is 1 y 162² +42 +5 where a is the horizontal…

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Q: 8 x²-1 x³+x A. -1 dx = √( + g(x)) + g(x) a dx, then A + f C. 1 g(x) dx is c B. -1 + In(5/2) to D.…

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Q: Find the exact value of each expression by applying trig formulas (Addition and Subtraction…

A: We have to find the exact values.

Q: d d [ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiatin dt Calculate the product directly and…

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Q: mby f(x) = (lnx) (sin x). The figure above

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Q: N) dy x dx X (1+y) y (1-x)

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Q: Find the exact value of the trigonometric function of using the given format: 5T Let 8 = then is in…

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