. Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is its slope? b.) How many lines tangent to h(x) at x=c can you determine? What are the slopes of these lines

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Q: Find if this series is convergent or divergent and provide detailed solution.

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Q: Solve for E. log E- 12.2 = 1.44 M (used in geology) E E =D e

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Q: 1 7) Find the antiderivative: S 3x2-6x+12

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Q: b. V3x -11= x+1 ,2

A: Solving on graph

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Q: Question Select your answer. Vhat is the equation of the tangent line to the function F(x) = x? + 2x...

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Q: A one-to-one function is given. Write an equation for the inverse function. X-4 v (x) = x+5 (x) = D

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Q: a) Kindly find out if this series is whether convergent or divergent. b)Explain and justify the answ...

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Q: Consider the function f(z) = 8x10 + 8x-5x² – 8. An antiderivative of f(x) is F(I) = Ar" + Br" + Cr +...

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Q: Determine if the equation forms a circle. If so, state the radius and center. (a) a +y - 4x + 10y + ...

A: (a) x2+y2-4x+10y+2=0comparing with general form of eq of circlex2+y2+2gx+2fy+c=02g=-4⇒ g=-22f=10⇒ f=...

Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

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Q: Q9/ Find the centroid of the region enclosed by the cardioid r = 1 + cos 0.

A: 5/6 centroid

Q: fip given the equation a+y = e. dz Use implicit differentiation to determine dy da > Next Question

A: Given query is to find the derivative of the expression.

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Q: tan (x) sec" (x)dæ

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A: The given question can be solved as shown in step2

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Q: Find the slope of the tangent to the curve x^2+3xy+y^2=5 at (1,1).

A: The equation of the curve is given by x2+3xy+y2 = 5                           .......1 The point is ...

Q: Sts dx 4+x4 4 4 V2

A: ∫54254  x4+x4dxlet   x2=t differntiate on both sides     2xdx=dt∫xx4+4dx=12∫2xx4+4dx12∫2xx4+4dx=12∫d...

Q: 1. 3 2 a) Find lim f(x), lim f(x) and lim f(x) b) Find f(1). c) Is f continuous at x = 1? Why or why...

A: We have given figure. And we have discuss about limit and continuity at some certain point. 

Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

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A: topic - differential equations

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Q: B. Apply the quotient rule to find the derivative 1. y 4-7x 3. y = 5- 3x

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Q: Find a formula for the nth term of the arithmetic sequence. a1= -4, a5=4 an

A: Topic:- sequence and series

Q: Question Select your answer. Find the equation of the tangent line of f(x) = x at r = -1 y = -2x + 3...

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Q: Find a formula for the nth term of the arithmetic sequence. a1=1, d=5 an=

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Q: Use the change-of-base formula and a calculator to approximate the given logarithm. Round to 4 decim...

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Q: D. • Evaluate the indefinite integral. x4-4x²+8x` dx and Identify what is the u=? and du=? Show the ...

A: Given: I=∫x4-4x2+8x2xdx   ...1 We know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xnd...

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Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Given the triangle below, find sec(0). Enter an exact answer in fraction form.

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A: Since there is no Sen function existed in math, the problem has been solved assuming the given curve...

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Q: B. Hyperbolic Functions 4. y = e-* cosh In (x) 5. x = Arcsinh?(1 – b)

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Q: d. f(u) = (4u + 5)(7u3 -2u) %3D 3s – s* C. gts) = %3D 2 +1

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A: Given : Demand Function : p = 121 - x2 Supply Function : p = x2 + 6x + 65 Now, 121 - x2 = x2 + 6x + ...

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