2. Use trigonometric substitution to find each of the following integrals. Don't forget to go back to the original variable (if the integral is indefinite) a) S x³ · V4 – x²dx

Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: If F(x) = Stan-'t dt, evaluate F(V3), F'(V3) and F"(V3). %3D

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Q: 8r*- V Let y=f (x) + C be the antiderivative of F (x) =- determine the value of C (use 3 decimal pla...

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Q: An object is dropped from a tower, 1024 ft above the ground. The object's height above ground x seco...

A: This question can be solved by equating the given equation to zero to obtain the time and then using...

Q: 325 Given the demand function D(p) = Find the Elasticity of Demand at a price of $43

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Q: (2x³ -x²y + y³)dx – x(2x³ + y³ )dy = 0

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Q: If A= then A1=0 true fals O

A: The objective of the question is choose the correct option.

Q: sinx - cosx + 1 sinx + 1 %3D Hint: the conjugate of the denominator XS200S sinx + cosx - 1 cosx is s...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: We have given∑k=0∞(67)k+3

Q: A retailer anticipates selling 4,950 units of its product at a uniform rate over the next year. Each...

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Q: dx 2+ Vx-4

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Analysing the sequence we can see: Numerator of the sequence is 9 in every term.            Numerato...

Q: k E R and f(x, y) = x² + y² + kxy

A: Here, the given function is: f(x,y)=x2+y2+kxy First of all, suppose k≠0 Now, the critical values of ...

Q: Eliminate the arbitrary constants. Show your solution

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Q: *(1,). What is the equation of the line that is tangent to the graph of y = at (x³ + 1)?

A: We can find the equation of line as below.

Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: In x Use the change of base formula logą x = In a to show that logą x = dx x In a d d loga x = dx dx...

A: Please refer to the image below

Q: Which of the following are examples of inductive reasoning (reasoning that relies on enumerative ind...

A: The inductive reasoning is that is where we reach the conclusion of the statement at the last of the...

Q: Let both f(x) and g(x) be odd functions. If possible, determine whether each function must be even o...

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Q: Find the general solution of the given second-order differential equation. у" - у' — 30у %3D 0 y(x)

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Q: ve the given boundary-value problem. (If an answer does not exist, enter DNE.) y" + y = 0, y'(0) = 0...

A: Topic:- differential equations

Q: If two functions Fand G are both antiderivative of the function h then they differ by a constant. Tr...

A: Integration of h is F and also integration of h is G. So, F' = h  And, G' = h

Q: x3 - 4x2 - 7x + 10. Factorize the function f (x) to solve the equation f (x) = 0

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Q: V5(30+2) V5 arctan 5 15

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Q: 2 5 2 If A= 4 6. 4 then |A| is -1 2 -1. |A|=0 |A|=1 |A|=-1 O

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Q: read the following headline about COVID-19 vaccinations: "The vaccination slow down is slowing down....

A: Solution is here

Q: Question #2 ( a) Given the sketch of the following function segment, what are the signs of the first...

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Q: Use linear approximation, i.e. the tangent line, to approximate v64.2 as follows: Let f(x) = Va. The...

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Q: Example: Evaluate the following Integral CC cx=v2 ry=2 x=V2 x³e» dydx Jy=x2

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Q: PROBLEM 1 Pis known to have a value equal to 250 Ibs. Using rectangular components, determine (a) th...

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Q: 5. The sum of three numbers is 67. The biggest number is twice the smallest number. Half of the numb...

A: Let's assume, X is the smallest number, Y is the number next to the smallest one and Z is the larges...

Q: Find the implicit deriviate (dy/dx) of (2x+3y)1/3=x2

A:

Q: A retail company estimates that if it spends x thousands of dollars on advertising during the year, ...

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Q: 1. Sx2 In(x + 1) dx

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: Me

A: ∑n=9∞  1n13-2 comparing with ∑n=9∞  1n13limn→∞ anbn = limn→∞  n13n13-2= limn→∞  11-2n3= 1lim > 0 ...

Q: Find each limit. Use - 00 or oo when appropriate. 4x -8 f(x) = - (x-8)4 (A) lim f(x) (B) lim f(x) (C...

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Q: Evaluate the integral. (Use C for the constant of integration.) cos (a) da J Vsin(a)

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Q: du Answer FORMULA 8. S: Arcsin3x dx V1-x2 Arcsin x dx Ju" du AYCSIN X 4

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Q: (c) Determine with justification whether each of the following functions R → R is one-to-one, onto o...

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Q: 5. The expression (x + 3)? is equivalent to: A) x? + 6x + 4 B) x? + 4x + 9 C) x? + 2x +9 D) x? + 6x ...

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Q: dy Assuming - 3x° + 6y + 3xy =0 defines y as a differentiable function of x, use the theorem dx Fx t...

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Q: Let f(x) = (3 – a) f(1) has one critical value at A = For I < A, f(r) is Select an answer Select an ...

A: We have to find the critical point and monotonic intervals.

Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by...

A: Given query is to find the total sale for the given time period.

Q: Find all critical values for f(x) (x 10) (x + 1)". The critical values occur at x = (Enter your answ...

A: Topic:- function and application of derivatives

Q: Functions f and g are defined by g(x) = V-x+4, x<4; xeR h(x) = 2e*, x20; xeR (a) Find the composite ...

A: g(x)=-x+4, x≤4h(x)=2ex, x≥0a)   (h∘g)(x)    =h(g(x))     =h(-x+4)     =2e-x+4 ⇒(h∘g)(x)=2e-x+4   Dom...

Q: What is the reference angle for the given angle measure drawn in standard position? Drag an angle me...

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Q: 12. Simplify. 6m? + 13m – 5 9m? – 4 8m? + 16m – 10 6m2 + m – 2

A:

Q: Showing all steps show why the differential of Tan (x)is equal to sec? (x) (f) Question

A: Given problem:- Showing all steps show why the differential of Tan (x)is equal to sec²(x)

Q: 1. The expression 16x? – 25y? is equivalent to: A) (4x – 5y)? C) (4x – 5y)(4x + 5y) B) (16 – 25)(x? ...

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Q: xdy-ydx=√(x^2+y^2) dx x=1/2, and y=0 solve using homogeneous equation

A: