Perform the operation and wrtte the result In standard form. (1-7)'

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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Q: (a) f(x)= Jx-6 (b) g(x)= /7-x (c) h(x)=V1-x²

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: A cuboid has a square base of side (2 + 3)cm and a volume of (16 + 9 3)cm³. Without using a calculat...

A: It is given that, A cuboid has a square base of the side 2+3 cm and Volume of 16+93 cm3. Without usi...

Q: MODULE IN BASIC CALCULUS IV. Exercises 1. Determine the general antiderivatives of the following fun...

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Q: n=0

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Q: 1. A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above th...

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Q: The arc length along the parabola y = x² from (1,1) to (2,4) is given by which of the following inte...

A: Let's find. 

Q: x³dx 3. J (x4+4)* (x4+4)4|

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Q: What Mclaurin Series this function represents: En=1(-1)n+1 =" = ¤ n 3 O a. In(1+x) b. cosx c. sinx O...

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Q: 4. Consider the surface S parametrized by R(u, v) = (uv, sin u, cos v). Find an equation for %3D the...

A: The given curve S is parametrized by: R→(u,v)=uv,sin u,cos v Now, to find the equation of the tangen...

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 – x² and ...

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Q: 4. y = xcoSx

A: First we take log both sides and then differentiate both sides with respect to x.

Q: sinh(5) = (A) 5 + v26 (B) In(5 + v24) (C) In(5 + v26) (D) e-e-5 (E) 5 2

A: Find your answer below 

Q: 3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest desce...

A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

Q: 1/2 dx r2)2

A: Given problem:-

Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

A: Here, to find the interval when the hummingbird speeding up.  

Q: +o0 (-1)" n (a) ► n! n=1 1 (b) E -3 n - -n n=1

A: Find the limit of the given functions at infinity

Q: The given integral is Te-x³(-3x²)dx. Let -x. Now differentiate u with respect to x. That gives U = d...

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Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

A: Solve the following

Q: Evaluate the following integrals |(6V - x-3)°dx

A: The integration of the integral is (6√x - x-3)2

Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

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Q: Evaluate the definite integral V9 – x dx 0.

A: ∫05 x9-xdx  

Q: The curve C is the circle of radius 5 contained in the plane z = 5 and centered around the z-axis, o...

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Q: 12 + csc 0[sin 0 + csc 0]d0

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Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: It takes 1900 J of work to stretch a spring from its natural length of 1 m to a length of 4 m. Find ...

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: It can be solved using differentiation and quadratic formula.

Q: -6 -5 -4 -5- The plot above is created with the parametric equations S¤(t) = a cos(bt) ly(t) = c sin...

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Q: Graph the function. Then use the derivative and algebra to find the location of the critical points ...

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Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Evaluate the given integrals. sin 6x dx sin23x 4.

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Q: Find the goneral Solution: HW auswr メピー=C

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Q: Let g(x,y) = x³ – 6x² – y* + 5. Find and classify the critical point(s) of g.

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Q: S 12x²Vx3 + 7dx

A: This question can be solved using the concept of integration by substitution.

Q: (1) Use the divergence theorem to evaluate F-S. where F (z, y, 2) = zzi – j+4:k and S is the surface...

A: we use divergence theorem for finding the surface integral.

Q: f(x) – f(1) - If f(x) = log2(x), then lim %3D x-1 (A) me In(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:25 PM

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Q: The cost of producingx units is given by C(x) = 32000 + 1.7x + 20x dollars. Find the value of x that...

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Q: Concentration of a Gas and Global Temperature The scatter plot gives the average atmospheric concent...

A: Given that the scatter plot gives the average atmospheric concentration of a gas and average global ...

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explained below

Q: 2x* + х 'f(x) : %3D .3 x' - 1 2х - 3 y = 2 (x² + 4)² b. 2x – 1 y = С. Зх + 5

A: use rule  d(u/v)/dx = (v(du/dx) - u(dv/dx) )/v2 apply here   a f(x) = (2x2 +x)/(x3 - 1 ) f'(x) = ((x...

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

Q: Does the graph of the quadratic function f(x) = -9x2 + 5x + 2 have a relative minimum value at its v...

A: Given problem:- Does the graph of the quadratic function f(x) = - 9x2 + 5x + 2 have a relative minim...

Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

Q: Find the area Aof the region R bounded bounded the graphs of y2 − 4x = 0 and 2x − y − 4 = 0.

A: Given,           y2-4x=0 and 2x-y-4=0To find : Find the area, A of the region R bounded bounded the ...

Q: ーズ 10. S- ex

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Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx 1 + x2 trans...

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Q: cotx da cos I da sin r 3.

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A: We have to find volume of revolution about x ax