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Q: Simplify the difference quotient. f(x) = 3x2 + 4x — 2 show ALL of your work in order to receive…

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Q: If the rate of change of R is inversely proportional to R(x) where R > 0, and if R(1) = 35, and R(4)…

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Q: Determine if the sequence converges or diverges. If it converges, state the limit. cos²n an = -,n≥1…

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Q: 14) The solid is generated by rotating R about y = -3. 15) The solid is generated by rotating R…

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Q: Use the graph of h(x) shown below to evaluate lim h(x), if possible. If the limit does not exist,…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Given problem:- Evaluate the integral ∫√(x2+6x) dx

Q: 7 Show that: sech x dx = Sin¹ (tankx) + ( S note: * & Sim'u = dx 1-U² dx Cam multiply sechx by * you…

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Q: Find the Maclaurin series for e^(x^4). What is the radius of convergence

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Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

Q: Find the min and max of (f)

A: This question can be solved using the concept of maxima and minima.

Q: solve using laplace transform y" + y = f(t) 69- where: y (0)=0 y'(0)=1 1 1 0, 0≤ t 2π

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Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: Suppose that vectors and ware such that || = 5, |w| = 3, and the angle between them is 30°.…

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Q: 2) The diagram shows two squares. Name a single vector equivalent to each expression. B M F E D a)…

A: Given

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Find dy/dx using implicit differentiation a. tan y=x+y b. cos x=x(1+cot y)

A: For (a),     tany=x+yDifferentiating both sides we get,⇒sec2y y'=1+y'⇒dydx=1sec2y-1

Q: Evaluate using u-substitution j²x²√x²1 x²1 dx Evaluate using u-Substitution (Inx) 3 St dx x

A: 1. ∫12x2x3-1dx2. ∫ln x3xdx3. ∫2θ-5 cos2θ dθ

Q: 18 [™ f(z)dz where a = 11 - F f(x)dr = [² (² and b 0 f(x)dr

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Q: OAATTAM ni 9Tuoy casinu Find the measure of each side indicated. Round to the nearest tenth. 9) B…

A: As per bartleby guidelines we only give three subpart question answer. Please repost for other…

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

A: The given function:fx=e5xWe need to find the Taylor series centered at 0.

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: The equation of circle : Centre (h,k) & radius = r (x-h)2 + (y-k)2 = r2 Given the circle withe…

Q: 6. Find the derivative of y= 2x² (3x-4). A. 6x³ - 8x² B. 18x² - 16x C. 15x² - 6x D. 6x-4

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Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

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Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x)…

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Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √√₁-x² dy = 0, y(0) = 1/2…

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Q: x+y (a) 아.. separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none…

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Q: Calculate the operational determinant of the given system in order to determine how many arbitrary…

A: Concept: Elimination method: We can now and again combine equations as we do in linear algebra to…

Q: Find a limit if FedEx says if it does not exist right in DNE limit X to zero cosx tanx/2x

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Q: 4. Determine a value of k for which the line L₁ : x=2s, y = 1+ks, z = 2-s, se R and the line…

A: Topic = Geometry As per guidelines , At a time only one question can be answered. please repost for…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: The given DE is: xdydx+y=1y2⇒y2dydx+y3x=1x...(1) Now, substitute y3=u⇒3y2dydx=dudx⇒y2dydx=13dudx

Q: Find the absolute maximum and minimum values of the following function over the indicated interval,…

A: To find the absolute maxima and minima  of a function f(x)(i) find x such that f'(x)=0(ii)  find the…

Q: Indeterminate Form 12. lim tln 1+ X- 13. lim [w² In(4²)] 14. lim[e* +x] 15. lim[cos2y] yo* x0*

A: Solution is given below...

Q: (i)_ xyy' + y² = 2x separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in…

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 2 and…

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Q: Find the derivative of f(x) = 7. A. 7 B. 0 What is the derivative of In(x)? A. xin(x) B. 1/x C. 7x…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: (6) Using suitable transformations, evaluate closed region in the first octant bounded by the…

A: We have to solve given Questions.

Q: 3. [ (sec²(a) — csc²(a) + π) da

A: We will use formulas of integration to solve it

Q: Which of these series converges? Α.Σ2 k=1 ∞ k Β.Σ 20K-3 1 C. √√k k=1 3 Dak√k Ο.Σ.

A: See the details solution in below

Q: Question 4. Find an equation of the line of intersection of the planes -x+2y+z= 1 and x+y+z=0.

A: This is a problem related to geometry. Based on the general formula and concept we will answer the…

Q: 6 + 5 4 3 2 1 What is the least possible degree of the polynomial graphed above?

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Q: f(x) = x²+6x+5 2-1

A: I am attaching image so that you understand each and every step.

Q: 1. If f(x, y) = sin(4x-2y)+ln(x²-2y) find fy fyx

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Q: In Problems 6-10, let R be the region bounded by y=x² + 1 and y = x + 1.Each problem will describe a…

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Q: Question 9: Use left-endpoint approximation to approximate the area under the curve…

A: Solve the following

Q: Find an explicit solution of the given initial-value problem. dx = dt = 2(x² +1), x(77) = 1 11 X

A: Given :dxdt=2x2+1xπ4=1

Q: A hyperbola has aymptotes y=+-3x/2 and vertices at (0,+-6). Find an equation of this hyperbola.

A: Given Asymptotes   ;   y=3x2   ,   y=-3x2Vertices         :     (0, 6)    and    (0,-6)

Q: A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

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Q: For #s 7-8. Choose from the given options the slope of the curve at the given point. 7. y = x² +…

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Q: 5x-4 (x²+4)(x+2) Evaluate S dx using Partial fractions.

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