Determine the derivative of y. y = ev12x+8 %D

Q: Evaluate the iterated integral. 5 cos(r + y +:) dz dx dy

A: We know that integration of sinx is -cosx + c  and integration of cosx is sinx + c.       Here i…

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t?k, u(t) = 4ti + t²j…

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Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: 4. Under the usual addition 47Z/2021Z .

A: A detailed solution is given below.

Q: Let y1(x) and y2(x) be solutions of the linear differential equation with constant coefficients…

A: To find  the possible solutions of given differential equation.

Q: Find the volume of the solid that results when the shaded region is 3 revolved about the indicated…

A: The region is bounded by y=3x2 and y=3x3 from x=0 to x=1 revolved about x-axis.

Q: 3x 4x e, y = e", and Sketch the region enclosed by y = x = 1. Find the area of the region.

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Q: We know that y dy? arctan (e*+1) so whats the value for dx 1 a) e2a+2 +1 1 Ob) els+1)* +1 Need This…

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Q: Find the exact arc length of the curve over the stated interval. 1 1 +y2, from y = 1 to y = 4 x = 4°

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Q: Use Green Theorem to Evaluate |y x²dx – x²dy where C is left half of x² + y² = 25

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Q: The volume of a torus (doughnut or bagel) with an inner radius of a and an outer radius of b is V -…

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Q: Two parallel sides of a rectangle are lengthened at a rate of 3 cm/sec, while the other sides are…

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Q: 19y Consider the differential zy" – y = - (1) equation When applying variable z= e', y = u(t)e *…

A: Solve the differential equation then undo put into y(t)

Q: Express the area of the given surface as an iterated double integral, and then find the surface…

A: We have to find the surface area.

Q: Find the exact arc length of the curve over the stated interval. y = 8x2/3, from x = 1 to x = 8…

A: The expression for the arc length of the curve is: L=∫x1x21+dydx2dx   Given; y=8x23x1=1 & x2=8

Q: 3. The derivative of f(x) = In x at x = 3 when h = 0.002

A: 3) To find the true error and relative error of the function: f(x)=ln x, x=3 & h=0.002

Q: 13.3 PARTIAL DERIVATIVES 29-32 Evaluate the indicated partial derivatives. I 29. f(x, y) = 9 – x² –…

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Q: Evaluate the double integral over the rectangular region 4(a sin(y) – y sin(æ)) dA; R= {(x,y) : 0 <…

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Q: Find u + v, u – v, and 3u 5v. Then sketch each resultant vector. | u = (-4, 1), v = (3, -5) %3D (a)…

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Q: Use the arc length formula to find the length of the curve y = 3x – 5, -2sxs 3. Check your answer by…

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Q: Consider the equation ay" + 4y' + cy = 0 the constants a,c,m are real and different from zero, the…

A: Solve the differential equation

Q: Sketch the region enclosed by x + y? x + y = 0. = 12 and = 0. a) Favoring convenience, should you…

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Q: 3600 The function s(x) = = 3600(60 +x)' gives a person's average speed in miles per hour if he or…

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

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Q: Find the area bounded byf(x)=x^2-4x-5andy=x+1

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Q: Find the arc length of the parametric curve. 8 cos(t), y = 8 sin(t), z = 6t; 0<t<T x = L =

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Q: ローペープ 8-x²-y z?dzdxdy. Use cylindrical or spherical coordinates to evaluate the integral.

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Q: Find the average value of f(x) = 14 – |x| over the interval [ – 14, 14]. fave

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Use the derivative of the function shown below to determine the open intervals in which the function…

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Q: The critical values f(z) = "(1- z)°, for some positive constants a and b on 10, 1[ is/are a. b. tb…

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Q: Use the arc length formula to find the length of the curve  y = 3x − 5,   −2 ≤ x ≤ 3.  Check your…

A: Given : y=3x-5 ,   -2≤x≤3   To Find : Arc length

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 5…

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Q: uni vectors that stâtêd coi satisly th st cônditi NOTE: Enter the exact answers in terms of i,j and…

A: Given: u=-2i+7j

Q: 2. Determine whether the statement is True or False. If it is false, explain what makes it false, or…

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Q: dz (е) dz

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Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

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Q: Question * Determine the nature of convergence of the following improper integrals 00 1 dx 1+ x* A =…

A: ∫a∞f(x)dx=limR→∞∫aRf(x)dx  If the limit exists and is a finite number, we say the improper integral…

Q: Consider the equation y"+ay'+by=f(x) where a and b are real constants. If the general solution of…

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Q: Sketch the region R of integration and switch the order of integration. F(x, y) dy dx y 2 2 -4 -2 2…

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Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a product,…

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Q: Evaluate the triple integral. zy sin(yz) dV , where G is the rectangular box defined by the…

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Q: Find the area of the region enclosed by the curves y = x² and y = x by integrating with respect to…

A: Let f(x)=y=x2      (1)g(x)=y=x          Compare x=x2x2-x=0x(x-1)=0x=0 or x-1=0x=0 or x=1Put value of…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -72

A: To evaluate: ∫02∫-72y2∫-48zyz dx dz dy

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: topic- derivative of a function

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. da dz dy = y -54 J-36 %3D

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Q: Find the relative maximum and minimum values and the saddle points. f(x.y) = 242y +x -xy

A: Using D=rt-s^2 If D &gt;0 and r&gt;0 then relative minima and r &lt;0 then relative maxima  And at…

Q: 1. Sket dh the graph of the cylinder r = (y – 2)2 in R. %3D

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Q: Use a double integral to find the volume of the indicated solid. 9 z = 9–2 y 2 y=2 4 X=4

A: Consider the solid

Q: f(x)= 2cos (x) − 6sec (x)+3 =

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