(a) AB X AC (b) the volume of the parallelepiped determined by AB, AC and AD

Q: cit ++ -3 it -15- -30 -45 -60 -75- -90 -105 -120- -135- <x< N ton For the above quartic polynomial…

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Q: 2,0 Va Find the formula for f. f(x) = 0

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Q: question 15 please

A: Topic:- integration

Q: Graph to the image below and find the volume of the area bounded by y = (x^2 - 4)^2 and the x-axis,…

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Q: The integral sin(x - 2) dx is transformed into fg(t)dt by applying an appropriate change of…

A: Given :- ∫02sinx-2dt  is transformed  into ∫-11g(t) dt

Q: On which of the following intervals is the function g(x)=e-200x² concave down? ○ (-5,5) ○ (5,6) (6,…

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Q: Find the area of the region bounded to the right by x = y + 2 and to the left by x = y². 543-2 1…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: 3x + 8 Consider the function f(x) = . For this function there are two important intervals: (-∞, A)…

A: Find out the value of A at which the function is not defined.

Q: Determine the explicit formula for the n-th term of the sequence written below. Note that the first…

A: I am attaching image so that you understand each and every step.

Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = - y(0) = = -1

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Q: 28.y= I 4+4

A: We have to find derivative

Q: 2. If y = C₁ cos2x+C₂ sin 2x+2sin x is the general solution of a certain nonhomogeneous LDE, which…

A: The given general solution of non-homogeenous  LDE.  y= c1cos2x +c2sin2x +2sinx   We have to find…

Q: If the rate of change of N is inversely proportional to sec(x)- N where (-<x<). If N(O)=3, and N() =…

A: Note:- These are multiple questions and according to company guideline we can do maximum 1 questions…

Q: Using the Limit Comparison Test with the geometric series -17, to 8 67 determine if the series given…

A: Limit comparison test -  If we have two series ∑n=1∞an and ∑n=1∞ bn and limn→∞(an/bn) is finite and…

Q: 1 x - x² 3 2√√√x -8 dx

A: The given integral, ∫-8-1x-x22x3 dx

Q: Evaluate the following. √ √x- x - 4y + z ds S: z = 14 - 3x +9y, 0≤x≤ 6,0 ≤ y ≤4 Part 1 of 4 To find…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: This question can be solved using the concept of parametric and symmetric equation of lines in three…

Q: If  f(x) = 3x + 4 and g(x) = 5 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

A: We have given  f(x)= 3x+4 and g(x)=5x  We have to find  1) f(g(x))  2) g(f(x))

Q: 6. a) Determine whether each series is convergent or divergent. Carefully explain your reasoning.…

A: Given       ∑n=1∞1+3n1+4.3n                         let  an =1+3n1+4.3n…

Q: x²+ 1 dx x² +4 S_x² + =

A: Given Problem:- ∫x2+1x2+4dx

Q: Directions: Find the inverse functions of the following one-to-one functions. Show the graph of each…

A: Given data:- The given one-to-one functions are, (1); fx=x+33 (2); fx=3x-4 (3); fx=2x+14x-1

Q: Differentiate parametrically to find X 1 t-1 y=t³+2 dy dx in terms of t:

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Q: Draw the directional field for the differential equation. y' = y2 − 1   What can you say about the…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -5…

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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Q: Problem 10. Find the inflection points of f(x) = 8x + 110x³ - 42x² + 10. (Give your answers as a…

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Q: to the graph above, which of the following statements is correct: x) changes sign from + to - x) > 0…

A: Topic:- calculus

Q: 1- Find the inverse of Laplace transform of log (²+12)

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Q: 790+ 711 632 553 474- 395 316- 237 158 79 concave up. 1 2 6 For the above quartic polynomial f(x) =…

A: To find the critical points of a function f(x) we find the first derivative of f(x) and equate it to…

Q: The graph represents the reciprocal function of f(x). What is the equation of f(x)? <-5-4 A f(x)=2x²…

A: Here we have to choose the correct option.

Q: Let g(x) = 4x³ + 9x² - 12x + 7. What is the absolute minimum of g(x) in the interval [-3, 3]?…

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Q: Find the radius and interval of convergence of the power series (−1)″ (x+2)" √n.3n n=1

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Q: -4 Challenge #3 y = 1·3x 16 Adjust the equation so the exponential function passes through the…

A: Topic- exponential function

Q: Determine whether the following series converges. 8 5(-1)k Σ 5k+6 k=0 Let ak 20 represent the…

A: The given series is ∑k=0∞5-1k5k+6

Q: 2).  Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation for C =…

A: Given problem:- Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic…

Q: 2. ∞ Σ Find the sum of the convergent series: n=1 1 4n2 –1

A: Find the sum of the convergent series 1/(4n2-1) from n= 1 to infinity.

Q: For the acute angle with cot0 = 1, find (give exact answers, NO DECIMALS. If the answer involves a…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: Determine the total number of arrangements of the digits 173174561737 so that no 7s occur next to…

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Q: Evaluate : L {15} = Blank 1

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Q: A line drawn from the origin and forming the angle t with the x-axis intersects the unit circle at…

A: As we know that, cosθ=basehypotenusesinθ=perepndicularhypotenusetanθ=perepndicularbase

Q: At 6:00 am airplane #1 has an elevation of 25400 ft and is descending at the rate of 250 ft/min. At…

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Q: Determine whether the geometric series converges or diverges. Σ1 −20(– 10)n-1 7 a) The series…

A: Given: ∑n=1∞-20-107n-1

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

Q: dy Find the complete solution of 2 + 4y = 1 dx

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Q: Determine the volume of the solid formed by revolving the area bounded by x² + y² =25 and x + y = 5…

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Q: Social Security According to a certain news poll, 63% agreed that it should be the government's…

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Q: Consumers' and Producers' Surplus The management of the Titan Tire Company has P = 152-x2 where p is…

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Q: Evaluate: L Blank 1 5 {}} 5 Blank 1 Add your answer

A: As we know from the inverse Laplace property; L-1a·fs=a·L-1fs  ; where a is constant And…

Q: Euler found the sum of the p-series with p = 4: 3(4) - Σ Σ n = 1 Use Euler's result to find the sum…

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