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Q: Limiting limaçon Consider the family of limaçons r = 1 + b cos θ. Describe how the curves change as ...

A: Consider the family of limacons r = 1 + b cos θ. The family of limacons explained by the limiting cu...

Q: Determine whether Rolle's Theorem can be applied f(x) = 8 tan x, [0, A] Yes, Rolle's Theorem can be ...

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Q: Write two iterated integrals that equal ∫∫R ƒ(x, y) dA, whereR = {(x, y): -2 ≤ x ≤ 4, 1 ≤ y ≤ 5}.

A: Given: R={(x,y):-2≤x≤4 , 1≤y≤5} To determine: The two iterated integrals that equal to ∫R∫ f(x,y) dA

Q: Describing Transformations Explain how the graph of g is Obtained from the graph of f. 21. (a) f(x) ...

A: We’ll answer the first question since we answer only one question at a time. Please submit a new que...

Q: A line goes through the point (-1,3) and is parallel to the y-axis. What is the equation of this lin...

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Q: Use a double integral to find the area of the shaded region.

A: We have to use a double integral to find the area of the shaded region.

Q: 9) Analyze the graph of each function. 2x+4 a) R(x) = х-1

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Q: sin 2x, x<: 4. Suppose g(x) = - } . Is g(x)continuous at -? HINT: Need to use |cos 2x, x2 definition...

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Q: a. List each real zero and its multiplicity. b. Determine whether the graph crosses or touches the x...

A: Given that: The equation h(x) = (x - 5)2(x + 4)3 . 

Q: Solve  ignore what I put in the answer part.

A: For x=2 f(x)=2·5x+log5252xf(2)=2·52+log5252(2)f(2)=2(25)+log525f(2)=50+2f(2)=52 So the point is (2,5...

Q: Find the area of the region bounded by the given curves. y = sin?(x), y = sin°(x), o SXST

A: y=sin2x, y=sin3x,   0≤x≤π Now the diagrammatic representation of the area is,

Q: Evaluate the integral from 0 to pi/2 6 sin5(t) cos(t) i + 3 sin(t) cos2(t) j + 8 sin(t) cos(t) k

A: Given:  ∫0π26sin5tcosti+3sintcos2tj+8sintcostkdt To determine: The value of given integral.  

Q: Let y = 2æ°(x" – 9) Calculate the derivative using the product rule. f(æ) = 2x A and g(x) = x7 – 9 A...

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Q: Find values for b and c that will make ƒ(x) = sin (x + a) and g(x) = b sin x + c cos x satisfy the c...

A: Given functions are fx=sinx+a and gx=bsinx+c cosx. We have to find values of b and c for given condi...

Q: graph the function using appropriate methods fromthe graphing procedures, identifyingthe coordinates...

A: fx=x2-4x+3 Differentiating with respect to x, we get f/x=2x-4 Again differentiating with respect to ...

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 sin?(x) cos (x) dx

A: Let, z=sin(x)dz=cos(x)dx

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then...

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Q: Evaluate the integral. (Use C for the constant of integration.) | 4 tan(x) sec (x) dx

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Q: Determine whether the statement - "I can rewrite tan t as 1/cot t, as well assin t/cos t.", makes se...

A: yes, it does make sense.  as tan(t) is the inverse of cot(t)  

Q: The current population of a certain bacteria is 41634163 organism. It is believed that bacteria's po...

A: The initial bacteria population is 4163 organisms. Bacteria's population is tripling every 12 min. P...

Q: 1) Determine whether the following functions are polynomial functions. If they are, state the degree...

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Q: I need to find answers ?

A: (-9,0) is on the negative x-axis.  So the graph of option A only has (-9,0) on it.    Answer: A  

Q: Which differential equation when multiplied with y " the resulting differential equation is exact? A...

A: A  2y-3xdx+xdy=0B  x-y2dx+2xydy=0C  2xy2+ydx-xdy=0 Mdx+Ndy=0∂M∂y=∂N∂x

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = x? + 5x - 5 f'...

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Q: 5. Use spherical coordinates to evaluate the triple integral ///+y²+²dV, where E is the ball: x? +y?...

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Q: Find the values of x between 0 and π where the tangent line to the graph of y=sin⁡(x)cos⁡(x) is hori...

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Q: 9a,9b and 10

A: We'll submit the first question since the exact one wasn't specified. Please submit a new question s...

Q: a. Draw a graph of a function that satisfies the following conditions. Then, state if the function i...

A: Let us define a function which satisfies the given condition.f(x)=6-2x-2 when x≠34 when x=3 Now we w...

Q: SVx- 4, x>4| | 8– 2x, x<4]' 2. If f(x)=< , determine whether lim f(x) exists. If so, what is the val...

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Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan (x) sec(x) dx

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Q: I need help with 3

A: Statement: Suppose the population of a bacteria doubles every 2 hours a) How much time will it take ...

Q: In the following exercises, use direct substitution to show that each limit leads to the indetermina...

A: Since you have pasted multiple questions, as per our policy we will answer first question. Please re...

Q: Find all points (if any) of horizontal and vertical tangency to the curve                 x = 4 cos2...

A: Given: x = 4 cos2 θ,  and  y = 2 sin θ  To find: All points of horizontal and vertical tangency to t...

Q: Please help, I don't know the answer it is calculus and optimization

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Q: Evaluate the integral. (Use C for the constant of integration.) dx x² - 3

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Q: r³ – x + 1 Evaluate the limit lim What can we conclude? z→-∞ x – V2x6 – x³ + 2x – 1

A: We are allowed to answer only the first question. Please upload other questions separately. 

Q: In the following exercises, use direct substitution to obtain an undefined expression.  (105) lim 2x...

A: The given limit expression limx→1-2x2+7x-4x2+x-2 Evaluate the limit bu putting x=1 =2×12+7×1-412+1-2...

Q: a. Use the Product Rule to find the derivative of the given function. b. Find the derivative by expa...

A: Product Ruleg(x).h(x)'=g'(x).h(x)+g(x).h'(x)  

Q: 5x13e-x7 dx

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region b...

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Q: If f(x)=0.09e^x√x and k=7, determine f′(k). Evaluate  f′(k) and round to the nearest tenth.

A: Let f(x)=0.09exx f'x=ddx0.09exx Take the constant out  =0.09ddxexx  apply the product rule =0.09ddxe...

Q: Need help with this problem. Thanks!!

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Q: Use calculus to find a point P on the graph of f(x)=x^2+5 such that the tangent line to the graph of...

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select ...

A: Given function,  f(x) = (x + 5)/(x - 1)  in [-8, 8] To determine whether mean value theorem can be a...

Q: Determine the value of A so that the line whose equation is Ax + y - 2 = 0 is perpendicular to the l...

A: Given: Ax+y-2=0 we know that slope of given line ax+by+c=0 is given by slope=-ab similarly, slope m1...

Q: Find the values of x between 0 and π where the tangent line to the graph of y=sin⁡(x)cos⁡(x) is hori...

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Q: For the following initial value problem, compute the first two approximations u1 and u2 given by Eul...

A: Given derivative is y't=2-y and given initial condition is y0=1