ゴー aab

Q: dy Let r(t) = vt and y(t) = sin t. Find dr at t = 4. %3D %3D dy dr2 5, respectively. and at t = 2' V...

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Q: 9. f(x) dx = -5, evaluate the following. Given f(x) dx = 6 and (a) f(x) dx Jo (b) f(x) dx 3 (c) f(x)...

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Q: Find the domain and Range? f(x) V 2 X-2x+5

A: fx=x2-2x+5⇒fx=x2-2x+1+4⇒fx=x-12+4 Since the radicand x-12+4 is always positive, therefore domain is ...

Q: Given the quadratic function: f(x) = x2 + 2x - 8. a) Find the constants a, b and c and the vertex of...

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Q: Optical Measurement Optical methods of measurement often rely on the interference of two light waves...

A: Given: It=4A2cscθ-1secθ+tanθcscθ secθ To show :It=2Acosθ2

Q: Consider the following function. f(x) = x – logg × (a) Find the critical numbers of f. (Enter your a...

A: Application of Derivative.

Q: Consider the vectors u = 2i +j – 3k and v =i– 2j + 2k. (a) Find the vector projection projyu of u on...

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Q: show that the x corrdinate gaurentted to exist for the mean value theorm for f(x)=1/x on the interva...

A: According to the mean value theorem, if the function f(x) is continuous on the closed interval [a,b]...

Q: 105. A student made the following error on a test: re = xe-1 dx Identify the error and explain how t...

A: ex is of the form ax For the function xn, n is an integer. ddxxn=nxn-1, n is an integer. Example: dd...

Q: Q3) (Taylor and Maclaurin Series) (a) Find the Taylor series generated by f(r) = at a = 0. Write you...

A: Solve the following

Q: Please as much as step you can do. I'm new in this kind of math.

A:  (a) part Consider the given integral ∫2x2+3xx+12dx Now, ∫2x2+3xx+12dx=∫2x2xx+12+3xx+12dx∫2x2+3xx+12...

Q: Use the limit laws to evaluate the following limit. L'Hôpital's rule is not allowed. 1 sin 3x + lim ...

A: The solution is:

Q: Find the positive critical point of the function f(x) 2+3

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Q: The graph of the corresponding equation of a linear inequalityis a line that separates the xy-plane ...

A: We have complete the missing word/words.

Q: .1.Find the natural domain and range of the function f (x)=

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Write each expression as a single logarithm.

A: Given : logx2-9-logx2+7x+12

Q: Q6) (Area and Length in Polar Coordinates) circle r = 5v2 and above the liner = 5 csc 0. Find the ar...

A: Solution

Q: Use technology to approximate the given integral with (left) Riemann sums, using n = 10, n = 100, an...

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Q: Compute the directional derivative of f at the given point in the direction of the indicated vector....

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Q: 11. a. Write a variation model using k as the constant of variation if Z is directly proportional to...

A: Given- Z is directly proportional to the cube of Aand inversly proportional to the square root of B....

Q: I +1 is normal to the f(r) given by the implicit equation If the line y curve y %3D sin(y) + I = cta...

A: The slope  of a curve y = f(x) at a point  is its derivative y' at the given point

Q: (b) Describe the domain and range of f(x, y, z) = √4 − x2 − y2;

A: Given function is: fx,y=4-x2-y2 We have to find the domain and range of f(x, y).

Q: Determine whether the given series converges or diverges. Justify your workand state the name of the...

A: The given series converges by Limit Comparison Test. 

Q: The region above the x-axis and below the curve y = -for 0 < x < +∞ is revolved around the x-axis. E...

A: Consider the given curve. y=11+x2, 0≤x&lt;∞ Draw the graph.

Q: Show that the product rule works for the case f (x) = x2, g (x) = x3.

A: Given that, fx=x2gx=x3 We have to show that the product rule works for the case of given functions.

Q: The mathematical formulation of Newton’s empirical law of cooling/warming of an object isgiven by th...

A: Suppose Tt be the temperature of the object for t&gt;0 , Tm be the temperature of the medium, and S ...

Q: 2)Most dictionaries define acute angles and obtuse angles in terms of degrees. Choose the option tha...

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Q: Drug Concentration The concentration C of a certain drugin a patient’s bloodstream t hours after inj...

A: Consider the given: Ct=t2t2+1Ct=tt2t2+1tCt=12t+1tFor Horizontal Asymptote:limt→∞Ct=limt→∞12t+1t     ...

Q: Please do not use a calculator

A: solve the following

Q: Make a rough sketch of the graph of each function. Do  not use a calculator. Just use the graphs giv...

A: The given functions area) y=ln(-x)b) y=lnx

Q: evaluate the integral of 10x/(4x2-8x+9)

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Q: Please solve a question Quick I need this Answer at half time Quickly. Please question No. 4

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Q: 4. (i) Draw the graph and shade the region bounded by the curves  x = y2─ 5y and y = x. (ii) Determi...

A: Given information: The region bounded by the curves  x = y2─ 5y and y = x. (i) Draw the graph and sh...

Q: attached image

A: find integral then evaluate definate integral

Q: e2x To evaluate the integral dx we use the e4x + 1 substitution O a. ex = t O b. e2x =t O c. e4x = t...

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Q: Please do not use calculator

A: Area of the bounded region is 10(√2π - 1) 

Q: Pls help, true and false.

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Q: To evaluate the integral cotx log(sinx) dx we use the substitution O a. sinx=t O b. logx=t O c. log(...

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Q: Explain how to determine the restrictions on the variable for the equation 4 7 x + 5 X - 2 x + 3x - ...

A: To find the restrictions on the variable for the equation, 3x+5+4x-2=7x2+3x-6 We set the denominator...

Q: 1 Q.4 Find the formula and domain of fog and gof when f(x)=x-- and g(x)=: 1+x

A:  4. Given functions are  f(x)=x-1xg(x)=x1+x2

Q: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric equation...

A: See the attachment

Q: Consider the vectors u = 2i + j – 3k and v = i – 2j + 2k. | (a) Find the vector projection proj,u of...

A: follow next step

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY x²-4x-12 6. Y = x²-2x-3

A: We have to sketch the curve Y2=x2-4x-12x2-2x-3 or Y=x2-4x-12x2-2x-3.

Q: PLEASE SOLVE IT ASAP!

A: Given: y=x4-2x3+1

Q: Find the first partial derivative

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Q: (3r + 1)"+1 (Power Series) Consider the power series 2n + 2 (a) Find the series' radius and interval...

A: Given the power series: ∑n=1∞ (3x+1)n+12n+2 We'll first find the Radius of Convergence of the given ...

Q: The product of two numbers is 10 and the difference of theirsquares is 21. Find the numbers

A: We can convert mathematical statements to mathematical equations to find the unknowns . We use alpha...

Q: Q6) (Area and Length in Polar Coordinates) circle r = 5v2 and above the liner = 5 csc 0. Find the ar...

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Q: (b) Apply the First Derivative Test to identify all relative extrema. relative maxima (х, у) %3D (sm...

A: Given query is to find relative extrimas

Q: find the absoute extrema for the function 5 (x )=9rX - 3x"on the given in tervalOL x < H

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