Find the gradient of the function at the given point. w = x tan(y + z), (5, 8, -1) Vw(5, 8, -1) =

Q: Xi -3 -1 0. -2 1 f(xi) 7.1 -4.3 -3 -2.6 -0.6 Given that the above data was extracted from the…

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Q: 2r? xp : Vi – 4x³

A: The objective of the question is evaluate the indefinite integral.

Q: 117 +i sin 12 117 = cos-+i sin- where 0se< 2x. 6 and Find the quotient of z = 4| cos 12 z2 6 21 =…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find f''(x) for: f(x)=ln⁡x/4x

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Q: An object moving vertically is at the given heights at the specified times. Find the position…

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Q: A rectangular parking lot with a perimeter of 520 feet is to have an area of at least 6200 square…

A: Given query is to find the boundary for the length.

Q: Function:

A: answer is in next step

Q: Find an equation for the tangent curve x= 3e^t, y= 5e^-t at t = 0.

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Q: Let bi 8, b2 = 4, b3 = 7, and b. = -5. Calculate the following sums. (Use symbolic notation and…

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Q: Find the volume of the regular hexagonal pyramid shown below, and then answer the following…

A: We have to find the perimeter of the regular hexagonal base, the measure of the apothem of the…

Q: Find t6e eavation of tangent ine of fcx) = X+) at X=2 X-3

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Q: 4) A projectile travels at a velocity of v(t) = 45 – 32t, where v(t) is measured in feet per second.…

A: We have to find displacement of the projectile.

Q: The equation of motion of a particle is s = t – 12t, where s is in meters and t is in seconds.…

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Q: z = 49- 72 2y2.

A: answer is in next step

Q: The value C for the solution of the initial value problem f'(x) = x2 – 6æ + 2, given that f(0) = 0.…

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Q: 11. The graph below represents the graph of y = csc x. -5 -10 -5 10 True False

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Q: Question 3 Let R be the region whose boundary C has parametrization r (t) = (cos t) i + (sin t) j, t…

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Q: 2x²+5 Given f(x) : %3D 5x2-1

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Q: The enclosed area between y= 2 x and y= 6/x is evaluated by

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Q: The antiderivative of the function f(x) = 4 + 10x is + 5.0x? + c 4 5.0r? +c 4 + 20.0z? + c + 5.0z?…

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Q: te a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) = 25…

A: Given query is to find the area of the shaded region.

Q: Determine the points of inflection for the function y = 2x' – 3x² –12x+2 (show an interval chart or…

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Q: Find the values of the trigonometric functions of 0 from the information given. 3 O in quadrant II…

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Q: The integral 5x – y dA = 59 if R R={(x,y): - 3<x<- 1, 5<y<6}

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Q: Evaluate: (16t3 – 9t2 + 7)dt

A: ∫02 (16t3 - 9t2 +7)dt using integration [16t4/4 - 9t3/3 +7t]02 [4t4 - 3t3 +7t]02 64 - 24 + 14 54

Q: 12. The graph below represents a periodic graph. y 5+ 10 12 14 16 4.

A: Topic = Functions TRUE

Q: The antiderivative of the function f(æ) 6. + 8x is. -6 + 16.0x? + c -6 4.0x? + c 6 + 4.0x² + c -6 +…

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

Q: Paramount Electronics has an annual profit given by P = -100,000 + 5,000q – 0.25q? dollars, where q…

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Q: If a rock is thrown upward on the planet Mars with a velocity of 15 m/s, its height (in meters)…

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Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

A: Total amount of pollutant dumped is obtained by integrating the function A(t)

Q: Problem 6. The following series are geometric series. Determine whether each series converges or…

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Q: -1)" =£ Given: In(1 + x) if x < 1. n + 1 n=0 (-1)" (n +2 2n+1(n + 1) 4. Compute the exact value of…

A: ln(1+x)=∑n=0∞(-1)nn+1xn+1     if x&lt;111-x=∑n=0∞xn  if x&lt;1

Q: +25y=t^(-5)

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Q: Three slopes are given. For each slope, determine at which of the labeled points on the graph the…

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Q: Solve the system of linear equations and check any solutions algebraically. (If there is no…

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Q: The value C for the solution of the initial value problem f'(x) = x – 7x + 3, given that f(0) = 0. C…

A: A detailed solution is given below

Q: Evaluate the iterated integral I = SoS"(24y + 2) dady

A: Answer for the integral is : 14

Q: Find the Taylor Series: f(x)=e^(x^2) , a=0

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: Given, (x-2)/(x³+4x)

Q: Why does this work? If we have the curve in the xy-plane: F (x, y) = 0, then why is the implicit…

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Q: The nght-circular conical tank shown in Figure 6.2 below leaks water out of a circular hole at its…

A: answer is in next step

Q: . The function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right. True False

A: To tell whether the given function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right or…

Q: | (5e" + 5a* + 9cos r+ 2)dr O e* - a5 + cos a + 2 + c O 5e" + a -9 sin a + 2+ c O e +a5 - 9 sin z +…

A: Here we have to evaluate I=∫5ex+5x4+9cosx+2dx

Q: le“ + 4x° + 7 cos x + 2)dx O 4eª + x*+7 cos x + 2x + c r4 x* + cos x + 2+c - O 4e" + x* – 7 sin x +…

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Q: Use the position equation s = -16t2 + vot + So where s represents the height of an object (in feet),…

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Q: The function gives the cost to manufacture x items. C(x) = 25,000 + 50x + 800 ; x = 150 Find the…

A: We want to find average cost per unit of manufacturing.

Q: Draw the graph of f(x) = – 5" + 3 10+

A: Graph of 5x (a growth function)passes through (0, 1)whereas -5x is a reflection about x-axis.and…

Q: Evaluate the following definite integral. 1 5. (2x + 7)2

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Q: E- Use the chain rule to express dy / dx in terms of x and y: a) y=7+1 and t=2x+1 1 b) y=7+1 and x=…

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Q: Write the partial fraction decomposition of the rational expression. Check your result…

A: We have to write the partial fraction of the rational expression:…