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Q: Several ordered pairs for the function f are given in the table above. If lim x--> 1 f(g(x))=4, t...

A: Given: limx→1f(g(x))=4 To find: limx→1g(x)

Q: next set of i, ii, iii questions:

A: Click to see the answer

Q: dy Find dx

A: Given: y=tan-1(sin(3x)+cos-1(cos(x))) Find dydx

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) - x2 + 4x + 4 9(x) - 4x + 20 y 40 30 ...

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Q: 120 (a) Find the constants a,b,c for the conic r= Sketch the conic. 5+sin 0 4 (b) Given r = . Find t...

A: a) r=1205+sinθ in rectangular form r=x2+y2 put above, x2+y2=1205+yx2+y2 x2+y2=120x2+y25x2+y2+y= 5x2+...

Q: a) Compute the following limits. (i) lim x' +5 x+4-2 (ii) lim 1 (iii) lim-

A: Disclaimer: Since you have posted a question with multiple sub-parts; we will solve first three sub-...

Q: Find the indefinite integral. (Use C for the constant of integration.) e 4x - e 2x + 1 dx ex

A: Simplification of the given integrand function helps to integrate the function. The integration for...

Q: Question 3: Find [sin x cos² x dx.

A: The complex form of integral can be converted to simple integral using integration by substitution t...

Q: Consider the following repeating decimal. 0.8 (a) Write the repeating decimal as a geometric series....

A: Given repeating decimal: 0.8 (a) To write: 0.8 as geometric series

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A: It is given that, ∑n=1∞n59n So, to check the series that whether it will converge or diverge, we h...

Q: Find the area of the region. 5 y 3 1 10 15 20 25

A: Area of a region bounded by some curves can be computed using definite integrals. If we have two fun...

Q: Evatuate tha fottowing ntegtats 4sing Potar mettod

A: Given, ∫y=06∫x=0yxdxdy now solve this integral I=∫06x220ydy I=∫06y22dyI=y3606 I=636=36

Q: Evaluate the indefinite integral as an infinite series. of ex - 1 dx 5x Σ( + C n = 1

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Q: Find an equation for an exponential passing through the points (4, 1200) and (11, 1900).

A: here we find the exponential equation by using y=abx by using points (4,1200) and (11, 1900)

Q: Need help with grade 12 calculus homework question (1 question with parts) please answer all ASAP! T...

A: Given,s(t)=t3-6t2+9twe know that,v=dsdttherefore,V(t)=ddtt3-6t2+9tV(t)=3t2-12t+9and at rest,V=0there...

Q: Verify that L'Hopital's Rule applies and evaluate the limit.

A: The given question belonging to the calculus in which we have to find the limit of the given questio...

Q: The graphs of a function f is given above. Which of the following statements is false.

A: In above graph we have to check f(x) is exist or not at x =a , b , c & d

Q: Find the general solution to the following differential equations. 1. y"-8y'+16y=0 2. y"+y'=0 3. y"-...

A: A solution of a differential equation is any relation between the variables free from derivatives th...

Q: A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position co-...

A: Given: A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg

Q: Show work neatly please

A: We have to find the given sequence of nth term is monotonic and whether it is bounded. sequence is ...

Q: Approximate the sum of the series correct to four decimal places. 5-1)" 5"n! n = 1

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Q: Find the linearization of ?=?sqrt7x at ?=16.

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Q: Calculus Question

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Q: Calculus Question

A: The definite integral can be used to evaluate area of region bounded by curves. If over an interval ...

Q: Q1. Test for convergence of the foliowing alternating series Σ E(-1)"+1_n+1 In +1 n=1

A: Given: ∑n=1∞-1n+1n+1n+1 To test for convergence of the alternating series.

Q: Solve ques b

A: b) Given region is r=4cos3θ. Sketch the graph of the region as shown below.

Q: 4x2 - 3х + 2 dx. Evaluate 4x - 4х +3

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Q: Write equation in the given form for a circle with center (0,3) and radius of 3 a) rectangular b) Pa...

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Q: from a 0 to b = 1 e+e

A: ∫01dxex+e-x

Q: Find the length of each of the following curves: %3D %3D x (ey + e) from y = 0 to y = 1

A: The length of a curve means the arc of the length of a curve. The arc of the length of a curve in th...

Q: Determine the convergence or divergence of the series.

A: ∑n = 0∞23n = 1 + 23 + 232 + 233 + 234 + ........................∞After expanding, we can see that i...

Q: x? -dx 5 (6 – x²)

A: Given integral is ∫x2dx6-x252. The above integral can be written as ∫x2dx6-x252=∫x236-x46+x252dx. Co...

Q: Find the limit (if it exists).

A: If the vector valued function is of the formr(t) = f(t)i + g(t)j + h(t)kThen its limit is given by,l...

Q: This is not a graded question

A: Consider the given trigonometric expression sinx+tanx1+secx

Q: please help solve

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Q: Find all critical points of the function. f(x) = x 3 - 9/2 x 2 - 54x + 2

A: We have tom find all the critical points of the function f(x)=x3-92x2-54x+2

Q: Sunwoo’s closet contains 15 different styles of jacket. In how many ways can New pick out four diffe...

A: The total number of jacket is 15 and number of different style of jacket is 4.

Q: i. In a hot-air balloon contest, it was observed that a particular contestant's hot-air balloon rise...

A: Click to see the answer

Q: is f (x) has a turning point, if so where?

A: Given f(x)= 14x4-23x3-12x2+2x-1has turning point at where the f'(x)=0differntiate f(x) with respec...

Q: Find the inverse of the 3s - 137 transform: (f) = s2 +2s + 401

A: We have to the inverse of the transform given. We shall be using the following inverse formulas: 1.L...

Q: Find the general solution to the following differential equations. 1. y"-8y'+16y=0 2. y"+y'=0 3. y"-...

A: 1. Given y''-8y'+16y=0 The auxiliary equation is: m2-8m+16=0 Solve the auxiliary equation and find t...

Q: next set of i, ii questions:

A: A function can be known to be differentiable or not from its graph. If there are corner points in a ...

Q: Sketch the graph of a function that could have the graphs of f ' and f '' appearing in Figure

A: Given:

Q: Find the consumer and producer surpluses by using the demand and supply functions, where p is the pr...

A: Given Demand function , p=945-21x Supply function, p=42x Equilibrium is where the supply and demand ...

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos) p...

A: Given that: The quantity of the demand per month of a certain accessory is related to the price per ...

Q: 5. Prove by the principte of mathematical induction. show that 1 +2+2² +.+ 2" - 2"1/for all non nega...

A: To prove1+2+22+2+...+2n=2n+1-1 using mathematical induction.

Q: Q: dy dx Use implict differentition to for find equation: the following

A: If the relation between the variables x and y are given by an equation in such a way that the equati...

Q: Demand Function Supply Function p- 250 - x p- 100 +x

A: Given, Demand function: p=250-x Suppy function: p=100+x

Q: Consider the function f defined by f (x) = e−1/x2, 0, x = 0. (a) Sketch a graph of the function. (b)...

A: Consider the function f defined by f (x) = e-1X2, x≠0 Graph the provided function f(x) as shown at...

Q: 61,67

A: 61) we have to prove that: sinα+βsinαcosβ=1+cotα tanβ

Transcribed Image Text

Determine the point(s) at which the graph of -7x f(x) = 2x - 1