d d. dx tan(t)dt -4

Q: 2. Find the second degree Taylor polynomial of g(x) the value of –9.2. Express the estimated value…

A: The given function is: g(x)=1-3x3=(1-3x)13…

Q: Write the scalar equation of the plane with normal vector - [1, 2, 1) and passing through the point…

A: We know that equation of plane passing throgh the point (x1,y1,z1) and perpendicular to the vector…

Q: 5 Problem # 1: Differentiate y : /2х+3 Solution: Answer: Problem # 2: Differentiate f(x) = (3x – 2)…

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Q: A 25-y -year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake…

A: Integration

Q: 4. f (x) %3D (5х — 3)2 5. у %3D cos (5х) 6. f(z) — е5z?+72-13 7. у %3 4x2 + сot (3x) 8. f(x) —D (6х?…

A: Given problems:- 5.    y=cos(5x)  6.    f(z) = e5z^2+7z-13 7.   y=4x2+cot(3x)  To find:- Derivative…

Q: 4- 3. 2 2 3 To find the blue shaded area above, we would calculate f(r)dc area Where: %3D a = f(x):

A: If the line passes through the points x1,y1 and x2,y2 , then the equation of the line is…

Q: A goal is to get at least 15% of daily calories from poly saturated fats found in various nuts or…

A: 1 gram fat = 10 calories 21 gram fat = 21*10 = 210 calories

Q: Find the particular antiderivative that satisfies the following conditions: dx/dt=8e^t−7;…

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Q: 4 | (5a' + 4x")dr Find 3

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Q: please answer the following asap Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1…

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Q: B. Determine the slope of the tangent line at a given value of x. 6. f(x) = x 7. f(x) = -4x3 – 2. 8.…

A:

Q: у %3D7 — х, у —D 0, х %3D 0, revolved at х ахis 2.

A: To evaluate the volume of the solid generated by revolving the plane region about an axis.y=7-x,…

Q: Convert to an equation in rectangular coordinates. 3 r = cos (0) – sin (0) (Express numbers in exact…

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Q: В. (2х 3)sec (x + 3x) D. (2x - 3)sec?(x² + 2x) 6. Look for two positive numbers whose product is 36…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A:

Q: Find the point where the function f(x,y,z) = x + 2y + 3z subject to the constraint xyz= 2 takes on…

A: Answer is in below steps.

Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t 4:z=2s+1,y=1-3s,2=1 y+1 z-1 %3D %3D 3a 2a 3 Find…

A: Given:  L1: x=1, y-1=-t, z=1-3tL2: x=2s+1, y=1-3s, z=1 Direction vector of line L1 is 0, -1, -3…

Q: Solve triangle ABC if a = 5 ft, b = 6 ft, and A = 35 degrees

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Q: Evaluate the integral sin(t)dt

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Q: 5) Determine the point of intersection between two lines L1:( (x-1)/1 ) = (y/-5) = ((z-5)/3) L2:…

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Q: Short run product and cost

A: answer is in next step

Q: 1)" | Given: In(1 + x) if x < 1. n +1 n=0 1. Find the MMaclaurin series for f(a) = x In (1+ 5 )

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Q: 3. Determine whether the following series are odd or even functions. i. f(x) = x² ii. f(x) = x³ iii.…

A: We have to determine whether the given functions are even or odd.

Q: Find the flux of the vector field F(x, y, z) = (yz, y°, xz) %3D across the surface S, where S is the…

A: Given

Q: Question 6 Differentiate: arcsin () + arccos (2) = 1 + arccos () = 1 %3D O y/x O (E) None of these O…

A: Derivative dydx of sin-1xy+cos-1yx=1

Q: 39+ 5 dy (5y~7)2

A:

Q: Evaluate the volume of the solid generated by revolving the plane region about an axis. Show…

A: We have to find volume of solid generated by revolving the plane region about an y - axis.

Q: Find the area of the shaded region f(x) =Dx-8x +18x“, gx)= -20x +112 3. xg-.X%3D(x)) The area is…

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Q: Consider the function f(x)=4x^2−10x^7 Let F(x) be the antiderivative of f(x) with F(1)=0 Then F(x)=

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Q: Determine whether the two functions are inverses. -3 )3D x+5 -3-5x w (x) s and z (4) = %3D The two…

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Q: I +1 5. h(a) at x = 1 x2 – 1 -

A: Factorize the denominator.

Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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Q: 2. 52 Calculate the determinant for 2 3

A: As we know that, If the given matrix is A=abcdefghi then the determinant of the matrix is:…

Q: ors in 2-space that make an angle of 45° with answers in terms of i,j and k.

A:

Q: Evaluate the line integral (2 - u) dz + (3 + æ) dy] where C is the parabolic arc = a² from (0, 0) to…

A: We have to evaluate the line integral.

Q: Calculate -2 + lỉ. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a - b -

A:

Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A: Given,  x''+3x'+2x=4t2, x(0)=x'(0)=0

Q: Find the total differential of  w=x3yz+xy+z+3

A:

Q: Evaluate and write your answer in a + bi form. [3(cos 68° + i sin 68°)]° - Round to two decimal…

A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A:

Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,2=1 -y+1 %3D z-1 3a 2a 3 Find the…

A: Explanation of the answer is as follows

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=x2x2+3 That can be rewritten as: f(x)=x2+3-3x2+3=1-3x2+3

Q: Find the vector component of v = 21 -j+ 3k along b = 4i + 4j + 7kand the vector component of v…

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Q: Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.…

A:

Q: (y?ty)dx - (x² x ) dy = o

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Q: 9 NO ION If g(x) = [ cos t dt, find g '(x). %3D x10 -sin (x) -10x cos (x) COS 1 cos (x°) %3 10x9 cos…

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Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

A:

Q: en Test the series for convergence or divergence. E n3

A: Ratio Test: Suppose we have the series ∑an. Define,  L = limn→∞ an+1an Then, If L&lt;1 then the…

Q: If f (x) = Vx + 7 and g(x) = , , find f(x) · g(x). Keypad Answer Keyboard Shortcuts f(x) · g(x) =…

A:

Q: S x²(csc2x³)(cot2x³)dx

A: Given ∫x2csc2x3cot2x3 dx To evaluate the integral: