A(4) = A'(4) -

Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of fƒ and…

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Using the given data we have: where x is the horizontal length and y is the length of the string.

Q: 4. Given z = x-y, Find az/ax x+y

A: Given z=x-yx+y

Q: 14) x² + y² - 4x + 24y + 144 = 0 16) x² + y² + 10x - 14y+ 25 = 0

A: Solution is here

Q: Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form…

A: Substitute f(x) in the limit formula

Q: II. Solve the following problems. Enclose final answer. 8.A kite at an altitude of 200 ft. moves…

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Q: ***********Please print your data chart and graph on Excel and attach to this sheet************ You…

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Q: Using Ratio Test the following series +∞ (n!)² Σ 3n n=1

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: What is…

A: Given that a ball launched at in air t seconds after  it is launched byf(t)=-16t2+300t+20When the…

Q: Find the determinant of the matrix, show all of your work -1 3 5 0 0 1 -2 000000 4 0

A: We need to find the determinant of the following matrix. So,…

Q: dw For the given functions, (a) express as a function of t, both by using the chain rule and by…

A:

Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: Differentiation

Q: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

A: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: Evaluate the integral 3 -x a. So Sox² exy dydx 0

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Q: Using polar coordinates, evaluate the integral sin(x² + y²)dA where R is the region 1 ≤ x² + y² ≤…

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Q: Verify that * ox af dy 2+ ?х ду ду дх ах 22+ 21 ?х ду ду дж 11 olems) for f(x, y)=5x®y -7xy5.

A: Here is the solution of the given problem.  Partial Derivatives.

Q: Find the volume of the region bounded above by the paraboloid z = 3x² + 4y² and below by the square…

A: The region bounded above the z=3x2+4y2 and below by the region -3≤x≤3, -3≤y≤3

Q: The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t…

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Q: Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

A: The given curves are; y=8x, y=2x, y=0 and x=3. Now find the point of intersection between the curve…

Q: The base of a right triangle is decreasing at a rate of 2 meters per hour and the height is…

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Q: What is the amplitude, period, phase shift and y-intercept (exact and approximate) of f(x)? Sketch…

A: This is a problem related to function. Based on the general equation of the sine and cosine function…

Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

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Q: Find f'(-1) for f(x) = 2x, Express in exact form?

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

A: The line passing through the point (1, 0, 9) and perpendicular to the plane x + 4y + z = 5

Q: Write an equation for the transformed logarithm shown below 5 4 3 2 1 -5 -4 -3 -2 -1 3 4 5 f(x) = N…

A:

Q: Find the interval of convergence for the given power series. 8 (x - 4)" n(- 9)" n=1 The series is…

A: For a series of the type ∑an, interval of convergence first we find limn→∞an+1an<1 and compare it…

Q: Find the volume of the region between the planes x+y+2z = 2 and 4x+4y+z=8 in the first octant. ▪▪▪…

A: Given :x+y+2z=2 4x+4y+z=8

Q: 4) Determine the value of the 4) -2 6)-1 c) o d) 1 I'm 10,0 хсу e) DNE xy 2x² √x² + y²

A: If the function approach the same value k along any path into (0,0) then the limit is k. If two…

Q: Determine the volume of the solid generated bounded by x²= 2y and x= revolved about x=4. 2 Use ring…

A: Given problem:- Determine the volume of the solid generated bounded by x2 = 2y and x = y/2 revolved…

Q: Find all points c satisfying the conclusion of the MVT for the function f(x) = 7e-⁹x + 4 and…

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Q: ∞ Find the interval of convergence for n=1 The interval of convergence is a E (x − 4)" n² 3n

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Given :f(x)=x3-sin2x+1=22.688

Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

A:

Q: Find all the values of x such that the given series would converge. 8 8n (x²)(n+1) (n+8) n=1 The…

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

Q: 3. 13 dr² +9y= 26e2r

A: The given differential equation,     d2ydx2+9y=26e2x

Q: (d) √ ² (3 (3 − z)(3z + 1) dz. 0

A:

Q: 2. Two vectors, and b are placed tail to tail and have magnitudes of 2 and 5 respectively. There is…

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given:           ∫252x2-3xdx

Q: •√√x + 2 Evaluate -dx using rationalizing substitution. Which of the following statements is…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=2 ex cos (yz), Po(0,0,0),…

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Q: Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy 2y=x 3 dx dx

A: We can solve this as follows:

Q: The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters,…

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Q: Find the general solution. ܕܙܐ

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Q: 8. Find the antiderivative of (12x²)ex³ O 4e+³ 4eX +C O (4x³)e+³ +C O None of these Cannot be found

A: Let's find antiderivative of given function.

Q: Л ST 6 77 6 EN F/3 2 3 -0 i 11 6 4) V3 2² 2 27 3 F|N 11 6

A:

Q: [(4x³ +2x)³(12x³ +1)dx . Your work must include the use of substitution and the antiderivative. -1…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→0+

A: On solving this we will get