Evaluate lim x → 5 x²-3x - 10 x-5 Enter an exact value below.

Q: K Use the graph of y=and transformations to sketch the exponential function f(x)=+3. Determine the…

A: The given function fx=ex+3. We have to sketch the graph of the function.

Q: y = √√√x + √16-x

A: Range of x+16-x:  Solution:  4≤ fx≤ 42  Interval Notation: 4, 42Axis interception points of x+16-x:…

Q: then compute f'(4). f(x) = x³ + 2x² x√x

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Q: 3) Determine the constant 'a' such that f(x) is continuous for all values of x. Show your work using…

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Q: A particle moves along the x-axis and is defined as x(t) = f(y² - 8y-9) dy, where x(t) is measured…

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Q: 2a. First, use your calculator to calculate the log of the molecular weight for each ladder band.…

A: Molecular weight given we find the log of molecular weight.

Q: Question #6 - Find the following for the function f(x)=20x²-3x³ a) The coordinates for the relative…

A: Domain of  20x3-3x5 :  Solution:  -∞ <x<∞ Interval Notation: -∞ , ∞ Range of 20x3-3x5:…

Q: Write the first five terms of the sequence: [11 Inn n a₁ = Determine whether the sequence converges,…

A: To find the first five terms of the given sequence and to determine whether it diverges or not.

Q: Examine whether equality of cardinalities is an equivalence relation on sets: i.e. if it is…

A: We have to show equation of cardinaties is an equivalence relation on sets.

Q: If x² + xy + y³ = 1, find the value of y'" at the point where x = 1. I 23 X

A: Here we have to do differentiation.

Q: 7+n-2n² 7n² + 1 (Use symbolic notation and fractions where needed. Enter DNE if the sequence…

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Q: . Find the equations of the tangent line and the normal line to the curve 3r O at the point (0 A

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. dn = √ √n+1 = √n…

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Q: 4. Prove that d - (csc (x)) = -csc (x) cot (x). dx

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 9/n bn = n² (Use…

A: Given query is to find the limit of the sequence.

Q: Let f'(x)= = f(x) = x² tan ¹(7x)

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Q: Determine the limit of the sequence or state that the sequence diverges. 7+n-2n² 7n² + 1 (Use…

A: We can solve the given problem by using the concept of limits.

Q: 80. Skydiving A skydiver in free fall subject to gravitational acceleration and air resistance has a…

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Q: Question 3 Enter a decimal number (just digits, not an expression) to answer each question.…

A: To find the cordinality .

Q: 20 Write the equation of the _3x² + 5y² + 2xy = 76 tangent at the point (-2,42. line to

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Q: Differentiate. F"(8) = f(0) = 8 cos(8) sin(8)

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Q: Evaluate the integral. (Use C for the constant of integration.) x² 3 + 4x 3/2 dx 4x2) 3/2

A: We have to solve given integral.

Q: Evaluate the definite integral. R/4 [(x² + x³ tan(x)) dx */4

A: Given: ∫-π4π4x7+x6tanxdx

Q: Compute the derivative: The derivative is: 4 d. 4 4 (23) dx x² – 5 x=2

A: On solving this we will get

Q: The functions fand g are twice- differentiable and have the following table of values: (a) Let h(x)…

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Q: Question #4 - Find the following for the function f(x)=x²³-6x² +9x+1 a) The coordinates for the…

A: Given: fx=x3-6x2+9x+1 To find: Relative extrema, interval in which function increases or decreases,…

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(1) and F(8) 3- 2 1…

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Q: Find the derivative of the function. h'(x) = h(x) = √ 1 -X 2 1-x² √1-x² sin-¹(x) X

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Q: P Page 323 m/courses/davidson 96893/products/98778/pages/359?locale=&platformId=1030&lms=Y il 23…

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: To find the general term of the sequence, starting with n=1. T determine whether the sequence…

Q: Solve the inequality and graph the solution on a number line. 3 – 5a ≤ 2(a + 5)…

A: Given inequality 3 – 5a ≤ 2(a + 5)

Q: What does the summation below evaluate to? -0 2*

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Q: 5. Verify that the following is a Bernoulli equation and find its general solution: 3/ - x² = Y =…

A: To verify that the following is a Bernoulli equation and to find its general solution. x3y'y-x2=-y3…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: . S(2y + 3)² √y+ 2 dy

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Q: 4) Find limit Show all work Hint: divide numerator and denominator by x x² + x lim x→∞ 3 - x

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Q: Let f'(x) = f(x) = tan ¹(cos(8x))

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Q: Does the series (1²) converge absolutely, converge conditionally, or diverge? 6 n=1

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Q: 5. Consider the multivariable limit r³y lim (z,y)-(0,0) + y² (a) Compute the limit along the paths…

A: To find:- limx,y→0,0x3yx6+y2

Q: What's the derivative of y=2 tan x + 5 csc x

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Q: Find the derivative of the function. y' = y = 9 tan-¹(x - -1(x - √ ₁ + x²) 9 1+x² 18x 3 (1 + x² ) (…

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Q: Consider the function f(x) = 3, a) Evaluate lim f(x) and lim f(x). x<0 0≤x≤1 √x+2, x≥1 c) Is f(x)…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y = 8x…

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Q: Set up the integral that gives the area of the given surface. S= 27 4 S2 2T (2√9-y) 1+ 0 The area is…

A: To solve the given integral

Q: To produce 1000 items, the total cost is $6000 and the marginal cost is $10 per item. Estimate the…

A: This is question of application  of calculus  Here cost relationship given  We have to find the cost…

Q: = 1/ At a temperature of 20°C, the volume V (in liters) of 1.33 g of O₂ is related to its pressure p…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. để tế + ≤x≤1 2x'…

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Q: 2. Find the derivative of each function: cos (x) 1-x² (b) g(x) = 5√x - √ (c) f(x) = (3x² + x −…

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Q: 4. S 5 dx √-x²+10x-24 dx

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Q: 1. Let f (x, y) = 14 — x² - y² and P = (1,2). Find the directional derivative of f at P in the…

A: To find the directional derivative of given function