1. lim (x+5x2 – 7x + 1) x-2 ( x +4 if x<-1 if – 1

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: We have to check weather the given Integral is converges or diverges.

Q: 2x x² – dx 2 — Зх — 10 3.x

A: Given ∫2x-3x2-3x-10dx We know that dxndx=nxn-1 Also, ∫1xdx = lnx+C

Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

A: Slope = dy/dx

Q: cos(x) = -7. Let g(x) = (x) sin(x) and h(x) =. x) Suppose = 2 and Find the following. (a) g g() = (a...

A: The given question has been solved in detail

Q: (-1)"+l2nx" n2 +3 Determine the interval of convergence of n=1

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Q: Explain why the integral is improper. 16 1 dx 3- 2.5 2- Y 15 0.5 6 8 10 12 14 16 O At least one of t...

A: Evaluate the integral. Both limit of integration is finite. Integral converges to value 8.

Q: A. Prove that the function is discontinuous at the number a. Determine whether the discontinuity is ...

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Q: consider the following  5^-x/50=9 a) find the exact solution of the exponential equation in terms ...

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Q: Problem 1. Let v = = (4, –2, -4) be a vector in R³. (a) Find a unit vector in the direction of v. (b...

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Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of...

A: We have to solve the question.

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. ху %3D ...

A: topic - implicit differentiation

Q: Properties of Inverse Matrices If A is an invertible matrix, k is a positive integer, and c is a non...

A: we will use the property,  (AB)T = BT AT   and  AA-1 = I   

Q: The table below gives selected values for the differentiable and decreasing function f and its deriv...

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Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate....

Q: 15. Find the surface area generated by revolving about the y-axis that part of the curve y = In x ly...

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Q: B. Find the sor and aguation of the TANGENT and NORMAL LINE to the curve Graph cach curve, normal, a...

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Q: Find the vertex, focus, and directrix for the parabola (x + 1)² = 8(y + 2) Vertex: Focus: Eguation o...

A: Topic = Parabola Vertex  (-1,-2) Focus ( -1,0) Equation of the Directrix , y= -4

Q: Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If...

A: Statements are given, we have to find it is true or false

Q: 2 dr 4. (x-1)

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Q: Find the linearization L(x) of f(x) at x = a. f(x) = a = 0 4x +3

A: topic - linearization of a function

Q: +00 2" Use an appropriate test to determine if the series converges or diverges. n+ en n=1

A: Here we have to use appropriate tests to determine if the series ∑n=1∞2nn+en converges or diverges. ...

Q: Suppose a hiker, standing near the edge of a 416 meter tall cliff, throws a rock downward vertically...

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Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

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Q: I did all steps just need help figuring out “The ball’s velocity at the above time is”

A: Please see the below picture for detailed solution. 

Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

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Q: Find the average value of f(x) = ln r on the interval [1,5].

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Q: Find the derivative of the following functions. Show your solution.

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as ...

Q: Find the 65th derivative of sin(x) by finding the first few derivatives and observing the pattern th...

A: Given:      y = sin x

Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: Check each function that it has positive integer powe of x or not in its each term. 

Q: onsider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) Evaluate...

A: Consider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) E...

Q: ia=-1 A. Determine whether or not f is continuous at a. 1. f(x) = 2x² – 10; a = -4 %3D 2. f(x) = Vx ...

A: As per our guideline we supposed to answer  only first three sub-parts  we check at given point func...

Q: Find the derivative. 5+ sec q 5- sec q

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Q: Find the vertex, focus, and directrix for the parabola y? : 8x Vertex: Focus: Equation of the direct...

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Q: consider the following  5^3x+1=3^x-5 a) find the exact solution of the exponential equation in ter...

A: Question: consider the following    5^3x+1=3^x-5   a) find the exact solution of the exponential equ...

Q: Given the following matrix and its eigenvalues -2 3 has eigenvalues R, = -3 and R, = 7 3 6 1. Find t...

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Q: dC The rate of change in the concentration of a drug with respect to time in a user's blood is given...

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Q: 6. Let a be a real number. Consider the series where an = cos(n7); 2n + 1 n=0 (a) Is it possible to ...

A: Given: α∈ℝ,  the series ∑n=0∞ an;  an=cos(nπ) αn2n+1

Q: Solve the problem. Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in t...

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Q: If f(x) = 2x+11 then we can write %3D (x-1)(x²+x+1) Select one: O f(x) = 4 + x+1 x+x+1 O f(x) = + X-...

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Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

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Q: dz %3D dt

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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...

Q: d'y Find for dr? y = 5x? cos(x) + 13 sin(x) d?y dz? ||

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: dx 3— 2л — т2

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

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Q: Let the region R be the area enclosed by the function f(x) = x° + 2 and g(x) = 4x + 2. If the region...

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Q: LESSON 10 A Find the derivative using the three-step rule. 2. y = x - 5x +3

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Q: Determine if each formula is right or wrong. Give a brief reason for each answer. Sax+27 dx= (4x+2)3...

A: The formulas are given by To determine: Whether the formulas are right or wrong with the brief reas...