Find the length of the curve. -X² + 10x³² 6 y = Need Help? Watch It 2≤x≤4

Q: If z = (x + y)e", x = 3t, y = 3-t², find dz/dt using the chain rule. Assume the variables are…

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Q: If z = sin (₁) functions of u and v. дz ди дz Əv and x = = In(u) and y = v4, find the following…

A: Topic = Derivative

Q: If z = (x + y)e" and x = u² + v² and y = u² - v², find the following partial derivativ answers as…

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Q: lim 1→3 n 2 i=1 1 n1+ (2i/n)

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Q: Consider U₂ x²y dA, where R is the region bounded by 0 ≤ x ≤ 2, x ≤ y ≤ x +4.

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Q: Question 1 Evaluate the integral. 2xsinxcosxdx Ax cos 2x - sin 2x + C B-x cos 2x + sin 2x + C C) -x…

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Q: Find the gradient of the function f(x, y, z) = zy², at the point (0,-1,-1) ▼ƒ(0, −1, −1) =

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Q: Find the directional derivative of the function f(x, y, z) = xe³ + ye² + zeª at the point (0, 0, 0)…

A: The given function is:f(x,y,z)=xey+yez+zex

Q: Let U = 3i−j−4k and V = −2i+4j−3k. Show that U·V is commutative but U×V is not.

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Q: (iii) lim x → 0 16+ x - √16 x

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Q: (a) At what points does the graph of f(x)=x²-3x has a horizontal tangent? (b) Find equations of all…

A: a) The given function fx=x3-3x, we have to find the points that has a horizontal tangent to graph of…

Q: Consider two nonnegative numbers x and y where x + y = 15. What is the maximum value of 14xy? Enter…

A: Given query is to find the maximum value of the Indicated expression.

Q: Given the following graph a. Evaluate f (3). f(3) = Number b. Solve for f(x) = 3. n ril H Submit…

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Q: V₁² W V4 0 -21 V2 V3, and v4 are given below. -9 Then H and K are subspaces of R³ In fact, H and K…

A: we will find the required.

Q: For each of the following functions, indicate whether the function has a well-defined inverse. If…

A: The given function is f:ℝ→ℝ, fx=2x+3 We have to find the inverse function.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: given f''(x) =4x2

Q: A curve with polar equation 31 7 sin +36 cos 0 represents a line. This line has a Cartesian equation…

A: NOTE: Refresh your page if you can't see any equations. . use the polar to cartesian substitution

Q: (c)  Compute the Jacobian J (u, v). (d)  Set up but DO NOT evaluate the integral using the work…

A: We need use transformation here

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. h x = 3 + 2y², 1…

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Q: Consider two nonnegative numbers x and y where x + y = 12. What is the minimum value of 15x² + 11y?…

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Q: Calculate the gradient of f(x, y) = cos(x² + 3y) Vf= ←

A: We have to find the gradient of the given vector.

Q: Find the average value of the function y = 35 - 2x on the interval [0, 4]. O 31 10 O 20 O None of…

A: The Answers are given below

Q: ns are on pougop at ang syo! sacop of patient solut y=u²+ v², x = u² − v², 'Rax = z

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Q: The profit function for a firm making widgets is P(x) = 154x - x² - 1600. Find the number of units…

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Q: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a…

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Q: 1. Evaluate the derivative of the following function. (here sin-¹ denotes the inverse of the sine…

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Q: Compute the curvature of the curve x=2y^2-3y at (4,2).

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Q: 8 2 √√8x |8x – x dx 0

A: Given ∫088x-x2dx

Q: At what point (x, y) is the function f(x) = 8x - 3 closest to the point (3, -6)? Enter an exact…

A: To determine the point x, y on the function fx=8x-3 is closest to the point 3, -6.

Q: Find the differential of: y = 6 ln(6x +49) dy = And just to make sure you understand the difference…

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

Q: ot the points whose coordinates 2п 2, 3 a. C п b. (3.-4. 37). 4 S

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Q: Find an equation of the tangent line to the given curve at the specified point. е e6x y-of (1₁60) у…

A: Given query is to find the equation of the tangent.

Q: Let f(x) = 2x + x 100

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Q: Integrate h(x, y) = (x − y)i + xyj over the line segment from (2, 3) to (1,4). - a) b) O c) O 43 6…

A: The given vector function is: h(x,y)=(x-y)i+xy j

Q: Evaluate dy and Ay for the function below at the indicated values. y=f(x) = 75 (1-2); x = 5, dx= x=…

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Q: Suppose that f(5) = 1, f'(5) = 2, g(5) = -7, and g'(5) = 4. Find the following values. (a) (fg)'(5)…

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Q: 2 y² = 2x - 2, y = x - 5

A: For each item, use Desmos to graph the given equations and shade the plane region bounded by the…

Q: Calculate the directional derivative of f(x, y) = x³y² in the direction of v= 2i - 2j at the point P…

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Q: Esc [3] Use a first derivative test with a well written conclusion to state the local min and max…

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Q: At what point (x, y) is the function f(x) = 8x - 5 closest to the origin? Enter an exact answer.…

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Q: Integrate h(x, y) = yi-xj over the triangle with vertices (-2, 0), (1, 0), and (0, 1) traversed…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=x²-In(x),…

A: y=x2/4 - ln(x)/2

Q: Obtain the differential equation of the family of plane curve described and sketch at least 5…

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Q: Find the linear approximation of f(x) L(x) = -7x = 9e at x = 0. Then use your linear approximation…

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Q: 7 п 6 S y 4 3 2 4 ·10 Average rate of change = Number 6 Estimate the average rate of change from z =…

A: To find the average rate of change of function

Q: Find equations of the tangent line and the normal line to the graph of the given function at the…

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Q: Find the requested value (to the nearest dollar) and tell what each of the other values represents.…

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Q: | 4 x² + 4x + 8 A -dx = 4 ln x² + 4x + 8) + C

A: NOTE: Refresh your page if you can't see any equations. . .................(1)

Q: Use polar coordinates to find the volume of the solid bounded by the parabolas z = 3x² + 3y² and z =…

A: The solid is bounded by the curves:z=3x2+3y2        and          z=4-x2-y2

Q: Give one example to illustrate that vectors satisfy the triangle inequality. Justify your answer

A: Vectors of Triangle Inequality : u+ v≤u + v