1-lim r. In r Answer =1/2

Q: 2. Find the slope of the tangent line to f(x)=V4-V+5 at the point where x 4.

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Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

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Q: S x²e2** dx

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Q: Determine the slope of the following curve at the given point. 7 3 2 xy +xy = 16,400; (1,16) The slo...

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Q: Please Find an equation of the line tangent to the curve defined by x^4+2xy+y^3=4 at the point (1,1)...

A: The given problem is solved below in detail.

Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

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Q: If s(t) = 4t3 – 6t² – 24t + 5, represent the position of a particle traveling along a horizontal lin...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Find your answer below 

Q: 4. Complete each statement: a) The points of inflection are found by solving the to zero. equal b) T...

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Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a h...

A: Angle of elevation

Q: Let U be the universal set such that any set is a subset of U. Let A and B be sets. Usc element argu...

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Q: 22+22

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Q: The table shows values of a force function f(æ) where a is measured in meters and f(x) in newtons. U...

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Q: S Ve3x dx A 2 X- e3 2. C + C ez* + C - 1 e3x + C 3. + C - 3. 23 B

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

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Q: 3z dz; J(1-4z-2z²)² 3z 3z dz 3 – 2 (z + 1)2 ° dz [3 – (z + 1)²]²' Option 1 Option 2 3z ;dz 3 – (z + ...

A: Find your answer below 

Q: cot2 x – cos2 x = ________ cos 2 x sin 2 x sin 2 x cot 2 x sin 2 x tan 2 x cos 2 x cot 2 x

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Q: For the equation given below, evaluate y′ at the point (1,1). y-3x^2+2=0 y' at (1,1)=

A: Given equation differentiate w.r.t.x

Q: Lm e7x dx 00

A: This question is based on definite integral.

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 3t³ – 10t...

A: s(t)=3t3-10t(a)  v(t)=s'(t)=9t2-10       substitute t=1    v(1)=9(1)2-10          =9-10          =-1...

Q: g(2) = 22 – 3z – 10 (a) z= -2 (b) z = 0 (c) z = 5

A: At z=-2 and z=5 the given function is discontinuous   

Q: a) Consider the surface z = Find the tangent plane to the 3. surface at the point (4, 3, 5). (4.04)3...

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t - 15t ...

A: Topic:- application of derivatives

Q: 4 81-72sin²0+16sin*6 do S sin 20 de 1–2cos²0+cos40

A: Let I=∫sin2θ81-72sin2θ+16sin4θ1-2cos2θ+cos4θ4dθI=∫sin2θ92-2*9*4sin2θ+4sin2θ21-2*1*cos2θ+cos4θ4dθI=∫s...

Q: Perimeter & Area Puzzler #10 Read the problem and solve. Show your work here: At the zoo a new habit...

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Q: 2. Determine the slope of the tangent for the following function: 3x f(x) at x = 4 2 x-4x+3

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Q: Determine whether the given statement is true or false. {9, 11} ¢ {11, 9} Choose the correct answer ...

A: Statement is false 

Q: • Chapter 4 Section 4 1. A new manufacturer of automobiles in Canada has determined that the quantit...

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Q: Consider the following sequence: +00 9" {a,} = An+1 - to show that the given sequence {a,} is strict...

A: The given sequence is  an=9n4n2n=1+∞

Q: 4x + 1 Find a value of x, if any, at which f (x) = is not continuous. 16x + 8x + 5 Enter your answer...

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A: topic - functions and derivatives

Q: Evaluate:S Ln x dx

A: Solving the problem by finding the value of integration.

Q: dy = 6x– 2x + 1 cos y + eY %D dx

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Q: A graphing calculator is recommended. A particle moves according to a law of motion s = f(t), t 2 0,...

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Q: 7. Evaluate the integral r8-2x (x + y + 1)-2 dydr.

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Q: Use the Midpoint rule to deterine the Intergral for the error Function (erf)(belou) 4caurete to with...

A: ∫01e-x2dx here we can take 4 interpolation point so n=4 so h = (1-0)/4 = 0.25 x0=0 x1=0.25 x2=0.5 x3...

Q: Which equation below represents a secant graph with a yertical shift of 3? ay--sec(3(x)) c. y=3 sec(...

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Q: A rocket is fired vertically upward from the ground. The distance 8 in feet that the rocket travels ...

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Q: Show that each function is continuous at the point indicated. 1. f(x) = 3x2 – 4x + 2 at x = 2 2. f(x...

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Q: Evaluate the slope of the function: (Please solve using limits)  f(x) = 1 - x^3                    ...

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Q: ((2x-y²)´ (x,y) # (0,0) Let f(x, y) = x2+y4 2, (x, y) = (0,0) Is f continuous at (0,0)? Do fr(0,0) a...

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Q: Given: cos A= -, sin x = - 3, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

A: Given, cosθ=-45  where 180°<θ<270°We know that ,sin2θ+cos2θ=1sin2θ+-452=1sin2θ+1625=1Subtract ...

Q: 3 lim

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

A: We have the series ∑n=0∞(-1)nxnn+3 The nth term of the series is an=(-1)nxnn+3

Q: Given: cosa= -1, sin x = - 12, A is in the third quadrant, and x is in the fourth quadrant; evaluate...

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Q: Convert this identity to one using sine term(s) only. 1 - 2 cos2r = 2sin²r - 1 -1 - sin²r 1 - 2sin...

A: This question is based on conversion of Cos2r = 1 - Sin2r

Q: Using the remainder theorem  determine whether (x-4) and (x-1) are factors of the expression x3+3x2-...

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Q: Evaluate the slope of the function: (Please solve using limits) a. f(x) =x^2 + x - 2 ...

A: a)   f(x)=x2+x-2                       at       x=-1.5Here f(x)=x2+x-2Thenf(x+h)=(x+h)2+(x+h)-2We kn...

Q: Simplify. sin?e + sing csce cos?e tane 2 1

A: The given problem is solved below in detail.

Q: The position of the particle at time t is given by s(t) = t- 18t + 80. The particle is moving from r...

A: The given problem is solved below in detail.