Find the limits of the functions below a) limr-3 x* sin x b) lim,

Q: a. Find the local extrema of the function f(x) = 3 cos 4x + sin 4x on the interval 0 sxs and say whe...

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Q: What are the coordinates of the foci of the hyperbola whose equation in standard form (x +4)² is giv...

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Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative...

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Q: Periodic Deposit $? at the end of each year Financial Goal $160,000 Rate Time 15 years |5% compounde...

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Q: ind the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2 y

A: To find the solution of initial value problem

Q: Solve number 1 and 2. No need to graph. Short solution will do.

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Q: Prove: If the characteristic equation of ay" + by' + cy = 0

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Q: if g(x)=f(x)-h(x) find the derivative of g(x)

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Q: Find all the partial derivatives of: f(x, y) = y7 In(x²) + 9y¬3 – Vx*.

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Q: y=4^20 find dy/dx

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Q: Complete the analysis and sketch the graph of the function y=x3 -x2 -8x+8. The answer should include...

A: We can analyse function as follows  

Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

Q: discontinuous

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Q: Profiles Tab Window Help Thu Mar 10 7:16 PM Chrome File Edit View History Bookmarks X N Spring 2022 ...

A: As per our guidelines we are supposed to answer only three sub parts of the problem. For the solutio...

Q: Evaluate: Il2dxdy using inner limits 0 to y and outer limits 1 to 2. O a. 0.71 O b.0.375 Ос. 3.75 d....

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Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x...

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Q: 1. Find the general solution of (y? – 1) = 4xy? dx dy 2. Find the solution of dx e2x+y that has y = ...

A: Using variable separable. Then integrate it .  According to guidelines we solve only first three par...

Q: dy Find if y= (sin x)-1 dx O csc? x O csc x cot x O cor? x X. 1 1-x²

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Q: dy Suppose that x and y are related by the equation 3x-y=2 and use implicit differentiation to deter...

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Q: The graph of the equation 2x² + 3y² + 12x – 12y + F = 0 is ether an ellipse, a point or an empty set...

A: In this question we have to find the condition for F.

Q: хр 1. y хр if 8/x + 9Vy = -14. Ap Find ||

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Q: Express lim E=1 Ax ||PI0 as a definite integral where P is a partition of [0,2]. k%3D1

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Q: Write the Taylor series for f(x) = sin(x) at x = as Cn x 2 n=0 Find the first five coefficients. Co=...

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Q: Let f(-6) = -5 and f'(-6) = 7. Then the equation of the tangent line to the graph of y= f(x) at r = ...

A: Given query is to find the equation of the tangent.

Q: Answer the following questions about the function whose derivative is f'(x) = Px-4) x# - 5. x+5 a. W...

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Q: 9) y= 3sin 0 +2 %3D TC 3T 2

A: y=3sin θ+2

Q: Eight workers are assigned to 8 different jobs. Combination Not Combination

A: Eight workers are assigned to 8 different jobs. We have to determine whether it is combination or no...

Q: A depositor opens a new savings account with $5000 at 8% compounded semiannually. At the beginning o...

A: Let's find. 

Q: If r(5)=0, then which of following must be true? Olimf(x)=0 x+5 f(x)-f(5) -o lim x-5 X-5 fis continu...

A: Here we have given that  f'(5) = 0 We have to find which option is correct.

Q: Find the critical numbers of f(x)=x²e* %3D Select your answer

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Q: For the equation given, find dy 5x3,2 5x³y² – 5x²y = 9 хр Ap pui хр 1.

A: We will do implicit differentiation with respect to x

Q: 5. A certain vessel is full of pure alcohol. Five liters are drawn and replaced by water. After mixi...

A: Topic:- algebra

Q: CALO2- INTEGRAL CALULUS INTEGRALS OF TRIGOMOMETRIC FUNCTI ONS HTE GRATE Hも FO110WIN の 5) (xcot (10x?...

A: A detailed solution is given below

Q: Find the general solution to the differential equation. dy dt = y cos(3t + 2) y =

A: We are given: dydt=y cos(3t+2) This can be solved as follows,

Q: A company estimates that it will sell N(x) units of a product after spending $x thousand on advertis...

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Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements. ...

A: Given problem:- x + y = 250 and the product P = xy as large as possible.  

Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: ...

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Q: Suppose 1 aj = 2 3 4 5 1 az = , as ', a5 = 2 – 2 3 3 4 - 4 5 - 6. 6. | a) Find an explicit formula f...

A: Given: a1=12-12, a2=23-13, a3=34-14, a4=45-15, a5=56-16, For (a), So, now the explicit formula is an...

Q: 9 Chapter 3.4, Problem 187E Express the rational function as a sum or difference of two simpler rati...

A: Concept -factorized the rational express

Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: for f(x)= l x-1 l use the definition of deferentiablity to determine if f(x) is diferentiable at c=

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Q: If a circle with center at C(2, 3) that passes through the point P(8, – 5), which if the following p...

A: NOTE: Refresh your page if you can't see any equations. . the center of the circle is  and the poin...

Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x- 3...

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at 

Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2 ...

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Q: whether the geom 08. (-7)" – 1 Σ 8" n = 1

A: Solution is given below:

Q: Find the solution to the initial-value problem. y' = 2xy(1 + 3y), y(0) = −1 y =

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Q: Find all the values of x such that the given series would converge. (х — 10)" - 10" n=1 Answer: Note...

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Q: Find the first five terms of the Taylor series for the function f(x) = ln(x) about the point a = 10....

A: We know that; The Taylor series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+… Where: centered at a or x=a...

Q: Suppose that R is the finite region bounded by f(x) : 4 and g(x) = x. %3D Find the exact value of th...

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. + 8) n= 1 li...

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