Complete the parametric equations of the line through the points (7,-7,-1) and (4,-4,8) x(t) = 7 – 3t y(t) = z(t) =

Q: Suppose that and 4 -7 A = = 2-5 (a) Evaluate 3A-2B. 8 6 B = ( 1 -31 ) (b) Evaluate (BA)T.

A: (a)     3A−2B=[−44​−33−9​] (b)          (BA)T=[44−86​−28​]Explanation:Giventhat,…

Q: Consider how the methods of undetermined coefficients and variation of parameters can be combined to…

A:

Q: Use Gauss-Jordan reduction to solve the system consisting of the following equations. x+2y+32= 3,…

A: The solution to the system of equations is x = 5, y = -4 and z = 2.Explanation:We solve the system…

Q: The graph of the derivative of a continuous function f is shown. (Assume continues to .) y 4 y-fix 2…

A: As per our guidelines we can answer only 3 subparts of a given question so kindly repost the…

Q: Let a <b. Let f be a continuous function on [a, ∞o). Prove that the following two statements are…

A: The document proves that the following statements are equivalent:The improper integral ∫ from a to…

Q: 7 63 tan (a+b); cosa for a in Quadrant III and sinẞ: for ẞ in Quadrant IV. 25 65 tan (a+B) Find the…

A: tan(α+β)=−162457​Explanation:

Q: Find the slope of the tangent line to the parametric curve x= t³ + 4t at the | y = t² + 3t point t =…

A: m= -253/52Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Are the areas of the two shaded regions below the same? f(x) = 1 (1+x²)2 y 1 1 0 I IT 4 g (0) = cos²…

A: To find the area of shaded regions

Q: Evaluate the following integrals using partial fraction decomposition, when applicable. 16. dx…

A: 16). I=51​ln∣x+1x−4​∣+C 17).  I=2−3​ln∣2x+1∣+2ln∣x+2∣+CExplanation:Step 1: Step 2: Step 3: Step 4:

Q: #8 Find the average rate of change of n(x) = √√x-1 from x = 5 to x = 10. SHOW ALL WORK!

A:

Q: Answer the following questions for the function defined on the interval [-15, 17]. 3 f(x) x = x² -…

A: a) Vertical Asymptotes   -4, 4 b) Concave Up  (−4,0)∪(4,17) c) Inflection point x-coordinate…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about th…

A: Given the region is bounded by the curve  and line

Q: Consider the logarithmic function: g(x) = 3 log2 (1-x) - 6 d) Sketch the function using the method…

A: Check explanation Explanation:Problem:Consider the logarithmic function:g(x) = 3log₂(1 - x) - 6d)…

Q: Assuming that the domain of the function is the largest possible subset of R (the set of real…

A:

Q: Sin U X-4 Compute using *3-8x+7 Partial fraction decomposition. what is another method that can be…

A: The value of the integral is21​ln∣x2−8x+7∣+C,where C is the constant of integration.Explanation:

Q: Solve for t, 0 < t < 2π 27 sin(t) cos(t) = -12 cos(t) t = Give your answers accurate to at least two…

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Q: Answer 38,39,41Show your work

A: For answers, please refer below  Explanation:

Q: Find f'(x) and find the values(s) of x where f'(x) = 0. f(x)=(2x-27)(x²+60)

A: given function

Q: Given cot(y) = x, what is dy/dx?

A: dxdy​=−1+x21​Explanation:

Q: Suppose f(x, y) = x² + y² - 10x - 6y+4 (A) How many critical points does f have in R²? (B) If there…

A:

Q: Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the…

A: (a) degree of the function=5(B) 4 distinct Zeroes = 0,25​,−i,i         In which two are real zeroes…

Q: Find the exact length of the curve. y = ² ²x³/2, 3 0≤x≤6

A:

Q: Question 19 Use the figure to find the exact value of the trigonometric function. Find tan 20. 5 13…

A:

Q: Let  f(x) = e19 − 18x^2. (a) Find the interval(s) where  f(x)  is concave up. (Enter your…

A: The answers are: (a) f(x) is concave up on no intervals, so the answer is None ( ∅ ). (b) f(x) is…

Q: Question 9 Use the given information to find the exact value of the expression. sin α = 1, & lies in…

A: Ans : B  = 25−6+421​​Explanation:Explanation:

Q: Evaluate the derivative using logarithmic differentiation if x(x+3)³ y = (4x-1)2

A:

Q: The temperature of a metal plate at the point is given in the following table below, where T(x, y)…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:Please let me…

Q: Write out the first five terms of the sequence with, [(1-8)] determine whether the sequence…

A:

Q: Evaluate the indefinite integral √sin³ sin® x cos3 rda COS =

A: To evaluate the following indefinite integral.

Q: Evaluate S 1 1 70 da exactly and show that the result is Then, find the approximate value of the…

A: To evaluate  exactly and to show that the result is . Then, to find the approximate value of the…

Q: 3. (4.4.1 #15) Find the general solution. y" - 3y + 2y = e³ (1 + x)

A:

Q: Question 1 For the function g whose graph is given, arrange the following numbers in increasing…

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Q: Need help understanding please and thank you

A: Summary: (7.Answer): arctan(x/2)+C (8. Answer): 2/3 * arcsin(3y) + C  or -2/9 (sqrt. 1 - 9y2) +…

Q: Evaluate the indefinite integral. sec²(√x)dx

A:

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: Note:-Since you asked multilple subparts questions, according to our policy we can solve only first…

Q: Solve dy = ex-y+x²ey dx

A: In this question, we need to solve this problem.

Q: Sales Analysis The total sales S (in thousands) of a video game are given by S(t) = at² t2 +b' where…

A: 61.85Explanation:Using the given, we can use the Linear Approximation formula given…

Q: Find the tangent plane to the equation 2 = x²-y² + 3y at the point (-3,0,9)

A: The equation is:  −6x+3y−z=9 Or it can be also written as:  6x−3y+z=−9Explanation:Step 1:Step 2:

Q: Write out the first five terms of the sequence with, [(1)"] determine whether the sequence…

A:

Q: Use undetermined coefficients to find the particular solution to y"-3y-10y=4e³t Yp(t) =

A:

Q: Please help with Calculus 1 Problem. Thank you.

A: Please refer below to get your solution.Explanation:Sol)

Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

A:

Q: Integrals of the form sin mx cos nx dx sin mx sin nx dx cos mx cos nx dx can be found using the…

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Q: Find the following limits xy (a) lim (x,y)→(3,2) x + y

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Q: c) Use the logarithmic properties to exactly evaluate the following logarithmic expression: log (10)…

A: c. -20d. From the exponential equation, even if the value of x is a negative number, it generates…

Q: Suppose that  f(x) = 10x − 7 ln(x),      x &gt; 0.  (If an answer does not exist, enter DNE.) (a)…

A: (a) Partition number of f′(x): x=7/10(b) Critical value of f(x): x=7/10(c) Interval where f(x) is…

Q: Find the area of the region under the graph of the function f on the interval [2,7]. f(x) = 7ex - x

A:

Q: Find the length of the parametric curve defined by x = 3 sin(2t), y = 3 cos(2t) from t = 0 to t =…

A: The length of the given parametric curve from  t = 0  to t = 7pi  is42πExplanation:Given parametric…

Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: Sh​(160,70)≈1.948 sq.ft./lbThis means that the rate at which body surface area increases with…

Q: Demand According to economic theory, the demand x for a quantity in a free market decreases as the…

A: Given:the number x of DVD players people are willing to buy per week from a retail chain at a price…