Find the unit tangent vector T(t). r(t) = t²i + tj +4k, P(9, 3, 4) TO) (No Docpopcol

Q: (C) (In Mpg) for a certain vehicle can be approximated by m (x) = -0.03x +2.645x-35.029, where x is…

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Q: xdx

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Q: Write the sum in sigma notation 52 +55 +58 +61 +...+ 145 A ΣΒ j=1 A= B= Hint: The answer for A…

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Q: Find the annual percentage yield (APY) in the following situation. A bank offers an APR of 5.4%…

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Q: (a) Find S 1+ (x + 2)² dx and 1+ (x + 2)² dx.

A: Concept: Integration: The summing of Discrete Data is indicated by Integration. To determine the…

Q: f(x) = a = 888 [4 to a 1+ f(t) - dt = 6x-2

A: To find f(x) and value of a.

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: 2. 01 S -1-1 (x+y+1)dxdy

A: The Solution is given below

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Q: Find an equation of the tangent line to the curve y = 3 arccos (1,4 π). Select the correct answer.…

A: Find an equation of the tangent line to the curve y= 3cos-1(x/2) at the point (1,4π) .

Q: Q5/ Find the area of the region enclosed by the curve y² - 4x = 4 and the line 4x - y = 16. 3,6 16…

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Q: As per the trigonometric substitution x = sin(0), the following triangle is obtained. cos(0) Submit…

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Q: The curves y = 2x - x 2 and y = 3x2 - 6x are used to form the boundary of a thin plate of uniform…

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Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…

A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

Q: 5. What is the equation of the asymptotes of the hyperbola defined by x²-4y² + 4x + 40y - 92 = 0

A: Standard form of equation of hyperbola is y-k2b2-x-h2a2=1 Perform operations to get this form…

Q: Determine where the vector function r(t) = i + (14t) j is continuous. Use symbolic notation and…

A: Please see the below picture for detailed solution.

Q: Find the equation of tangent line to the curve y = 2 - x 2 (7, ²/7). at the point (7, Express the…

A: The objective is to find the equation of tangent line.

Q: Consider the given function, h(x) = -x² +6x-13. (a) State whether the graph of the parabola opens…

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Q: 2-x Evaluate: 44-3 dx A. In 4x² + 4x-31+ In 2+ 8. In 4x² + 4x-31+In+C c. In 4x² + 4x-31+In++C D. In…

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Q: Tutorial Exercise Evaluate the definite integral. I [²² sin5(x) dx Step 1 To solve the integral…

A: We have to integrate the given term.

Q: B)Evaluate the integrals: i) √1-x2-x²-y² ii) -² ²-²-² dz dy dx. xe dy dx.

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Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

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Q: Let g(x) - 1² f(t) dt, where f is the function whose graph is shown. f S

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Q: At least one of the answers above is NOT correct. The velocity function is v(t) -t² + 4t - 3 for a…

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Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

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Q: 2 The function f(x) ==, x0, is one-to-one. X Find an equation for f(x), the inverse function. ...…

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Q: Q2/ A. Find the following limits. Answer four only. x+3 i. lim x-3x²+4x+3 X+) √2+1! x-1 lim x-1…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: If 15,18 log (14¹) A = B = = C: = = A log(x) + Blog(y) + Clog(z) then

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Q: For the given function, find all values of cover the interval (1.15) stipulated by Rolle's Theorem…

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Q: Find f if f"(x) = 2 + cos(x), f(0) = -1, f(π/2) = 2. f(x) =

A: Find f if f"(x)= 2+cos(x), f(0)= -1 , f(π/2)= 2

Q: 4. What is the length of the latus rectum of the ellipse whose equation is + = 1. 16 25

A: Latus rectum of an ellipse is a straight line passing through the foci of the ellipse and…

Q: Consider the three matrices A = (b) 2 -1 1 0 -1 2 94-1 B = 2 y and C = −1 multiplication is…

A: The objective of the question is determine sizes if possible and evaluate the values x,y and z.

Q: What is the slope of the line whose equation is 5x + 7y - 3 = 0.

A: Here we will find the slope of given line,

Q: No calculators. Find the exact length of the curve. 0≤x≤l y=2+2x³/2,

A: Length of the curve  =∫ab 1+f'(x)2 dx .

Q: x ³³+ 2x² + 3x + 7 dx x²-x-6 S x³ + 2x²

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Q: Evaluate the integral. Select the correct answer. O In | csc 4x + cot 4 x | + C sin x + cos x + C S…

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Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Consider the points 19,0.633,21,0.335,23,0.12,25,0.064 and 27,0.044. Find the Average rate of change…

Q: Find dy/dx by implicit differentiation. √xy = x5y + 56 dy/dx = X

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Q: Question 20 Given the equation −4x² + 8x − 4y² − 56y − 4z² + 32z = −312 - a) Show that the given…

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Q: Q4A) Find area bounded by y = 0, y = 1-x²,x= 0 and x = 1. B)Is w=zx¹ analytical function or not? 2 2…

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Q: 7. 0 , e5) a dx

A: Please see the below picture for detailed solution.

Q: 인 여 प्रि sin K K K

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Q: Consider the following situation, which involves two options. Determine which option is less…

A: Given: Consider the following situation, which involves two options. Determine which option is less…

Q: compound proposition (PnQ)-(PUQ) is a

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Q: S dx x² √√9-x² 2

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Q: H.W: Evaluate the integral 30 [ (x²y - 2xy)dydx 0-2 1. 3. 5. 3 1 [ [(2x - 4y)dydx 2π π [[(sinx +…

A: 5.The given integral,        ∫π2π∫0πsinx+cosydx dy

Q: The combined electrical resistance R of two resistors R₁ and R₂, connected in parallel, is given by…

A: To find the rate of charging.

Q: Show that for each positive integer n the polynomial (x-1)2 is a divisor of q(x)=nxn + 1 -(n + 1) xn…

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Q: In (x² + y²) 2 2 VX x+y Integrate f(x,y)== over the region 1 ≤ x² + y² ≤e5.

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Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8] Step 1…

A: topic- arc length of a curve