dg at s = 4. ds Use the Chain Rule to evaluate the partial derivative g(x, y) = x² – y. x = s? + 4, y = 4 – 2s (Give an exact answer. Use symbolic notation and fractions where needed.) dg = ds s=4

Q: Determine if the given function is a continuous on each of the given intervals. A. f(x) = 3x³ + 4x² ...

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Q: Given a function f (x) whose graph is shown below. (6,5), (1,4) (-4,2), 2 (6,2) -6 -4 -2 2 4 -2마 9(1...

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Q: 4. Determine if the relations given by the graphs below give y as a function of x. If so, determine ...

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Q: Find the area enclosed by the x-axis and the curve y = -x2 + 9. A.) * 32 s.u. В.) 18 s.u. C.) 36 s.u...

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Q: dx 1+x² plution as the answer is given.

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Q: Find the inverse Laplace Transform for Cari Songsangan Tranformasi Laplace untuk 1+(s-2)2 F(s) =5-2)...

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Q: Find all the values of a such that the given series would converge. (– 1)"9"x" Σ n=1 (Vn+ 5) The ser...

A: Here we have to find the values of x such that the given series would converge.

Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

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Q: In Exercises 47–54, find the reference angle 0'. Sketch 0 in standard position and label 0'. 48. 0 =...

A: Given that: 48. θ=309°50. θ=-215°

Q: For the function, find the following. X + 1 2x (a) f"(x) 242 (b) f"(3) = 2/3 ||

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Q: A tree on a hillside casts a shadow c = 225 ft down the hill. If the angle of inclination of the hil...

A: Topic = Trigonometry Height of the tree is 130 ft.

Q: If Sf(x)dx = 5, i f(x)dx = 2, and Sif(x) dx = -1, find f(x)dx. %3D %3D А.) -2 В.) 2 С.) -3 D.) 3

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Q: derivative

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Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: yi' = 5y,...

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Q: M(x,y) dx + (xe*y – 4xy + 2) dy = 0

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Q: the rate of change in thr profit (p) with respect to the number of units sold (x) is 0.0006x^2 +10. ...

A: We can use the given equation to solve for profit

Q: x?+2 x2+1 1. What is an antiderivative of a. x + arctan x- 5 b. x+ arccot x c. 2x + 3 d. x + 2arctan...

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Q: x + 1 dx x,

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Q: Linear differential equetion with constand coefficients -メ ダーンツ e

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Q: Using bisection method with [a1, b1] = [1,2] , estimate the root of x – 2 + Inx = 0 such that the to...

A: Given: fx=x-2+lnx a1, b1=1,2tolerance=fxi+1-fxi tolerance=0.01-------------------- Bisection Method:...

Q: af and dv se ди at (и, v) %3D (-3, -3). Use the Chain Rule to evaluate the partial derivatives- S(x,...

A: Given that: f(x, y, z)=x3+yz2x=u2+vy=u+v2z=4uv

Q: F(y) = In(1 – 5y² +y³)

A: Topic = Derivative

Q: Order these functions by time their complexity in ascending order 3n .2 n5:nº lg°(n), 54log25 (n) n2...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: if x < 0 if 0 < x < 1 -x² + 4x – 2 if 1 < x < 3 . Find lim f (x). if x 2 3 Given: f(x) = • %3D x-3 4...

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Q: The temperatue of a town t months after January can be estimated by the function f(t) = – 28 cos( + ...

A: The solution can be seen below.

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

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Q: Sketch the region enclosed by a + y = 6 and æ + y= 0. Decide whether to integrate with respect to a ...

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Q: Vx+3 4. f(x) = **3 f'(1) x-4

A: Given:- f(x) = √(x+3)/(x-4)  To find:- f'(1) 

Q: Find the arclength of y = 2x – 5 on 0 < x < 4

A: Topic:-  derivatives

Q: A. Evaluate the given limits. 1. lim 0 X-1

A: Topic = Limits

Q: g(z) = 3z' – sin(z +6)

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Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: As per guidelines we can solve only three subparts at a time, so the first three subparts of the que...

Q: Factor the following expression completely: bw – 14w³ – 12w? %3D

A: Given Data: 6w4-14w3-12w2

Q: At what x values in the interval [0, 27] does the function f(x) = sin² (x) – sin(x) have a %3| horiz...

A: Given that: f(x)=sin2x-sinx

Q: Determine the direction in which f has maximum rate of increase from P. S(x. y. 2) = x²y/z, P =(-1,2...

A:

Q: Given the differential equation y" - 16y = x2 - 3x - 10 Find the Differential Operator for the Right...

A: According to question,Given differential equation,y''-16y = x2 -3x-10

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero betw...

A: Given function,f(x)=9x3+10x+6 between -1 and 0Therefore ,f(-1)=9(-1)3+10(-1)+6f(-1)=9(-1)-10+6f(-1)=...

Q: 52. 0 = 6. 54. 0 = 12.9

A:

Q: Write the range in interval notation. Represent the gap with a "U". Find lim (secx) Find lim (secx)

A: We will graph the function and find out the range. 

Q: 5. у %3D sin?(3x? — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(si...

A: Topic = Derivative

Q: Determine if the given function is continuous on each of the given intervals. A. f(x)=3x³+4x²-x+6 1....

A: This question is related to Functions, we will solve it using given information. 

Q: 4. Summation of two variables: E(x, +y;)=E×, +£v, i-1 Example Evaluate the following given that x, =...

A: We can find the answers as below.

Q: Consider the following rational function: 1 anx" + an – 1x" + ajx + a0 ... f(x) bmxm + bm – 1xm + .....

A: Recall: Horizontal asymptotes of a rational function : Consider the rational function               ...

Q: 47. For the equation: y= Vx? + 20x dy ay using the chain rule dx a. Find а. b. Find the slope of the...

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Q: Let f(x) = sin(x) and g(x) = x². Find (fo g)' (x). (2æ)cos(x²) O (-2x)cos(x²) 2sin(x)cos(x) 2xcos(x)

A: Topic = Functions

Q: What is the equation (mathematical expression) for a hollow sphere with center at the origin and rad...

A: According to question,Given,Center of hollow sphere =Origin 0,0,0,Radius = 10

Q: Test the series below for convergence using the ratio test. n+ 2 24n +1 n=1 The limit of the ratio t...

A: Given: ∑n=1∞ n+224n+1where f(n)= n+224n+1Ratio test : l=limn→∞ an+1anif l&lt;1 then the series is co...

Q: uity?

A: We will find the functional value at x=2.

Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per un...

A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.