Find, or approximate to two decimal places, the described area. The area bounded by the functions f(x) = e¹¹ and g(x) = e²ª, and the lines x = 0 and a = 4.

Q: 11 Rewrite sin (x+ 11) in terms of sin a and cos x. Simplify your answer. Enclose arguments of…

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Q: Inverse Laplace transform of 2S-5 2 + is s²+16 F(s) = f(t) = 2cos(4t)-5sin(4t)+t² دی Select one: O…

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Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x

Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

Q: Solve for 8: cos²0 (1 + 2cose) = 0 on the interval 0 sesn. = 06-1플 100-10. ㅠ 3 품 품 3 3 00-27, 0.ㅠ…

A: To solve the trigonometric equation cos2θ1+2cosθ=0 ; 0≤θ≤π.   As the general solution of the…

Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: find equation of tangent line at ( 2 , 16 ) first find slope  for x = 2  slope m = 8*2 = 16

Q: Use the graph of f(x) - 1 below to find a number & such that f(z) - 0.5| < 0.2 whenever 0 << |z2|<…

A: Graph

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integ n.…

A: Here we have to calculate the I=∫043+x dx, n=8

Q: Let f(x) 0 = c-8 Oc==3 Oc=2/20 Oc-4/ 11 2xc + 1 C + 3x 3 ▸ Determine the value of c so that x = 9 is…

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Q: 2. Find y' using implicit differentiation where x² + 4y² = 4

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Q: sing the method of variation of parameters to olve the nonhomogeneous DE: y" + 6y + 25y = 7+ 2x² we…

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Q: Differentiate the function. V'(t) = V(t) = t-3/5 + +t²

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: we will find the required.

Q: Current Attempt in Progress X Your answer is incorrect. Consider each function to be in the form y =…

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Q: -t g(x) = f* e²²-¹ dt Sx

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Q: Find the area under the given curve over the indicated interval. y=x²: [0, 5] The area under the…

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Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

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Q: Determine the solution of the following differential equations. c) (D¹ + 2D6 + 7D5 + 14D4 + 8D³ +…

A: To determine the solution of the following differential equation.D7+2D6+7D5+14D4+8D3+16D3-16D-32y=0…

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: Evaluate sin 5x cos 4x dx

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: If f(x)= f'(x) = = tan z sec x -4

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Q: Two sides of a triangle are 16 and 4. Find the size of the angle 0 (in radians) formed by the sides…

A: let sides of a triangle are a and b let angle form by the sides = θlet A = area

Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: 31. dy If x³ - 2xy + 2y³ = 4 then, in terms of x and y, dx

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Q: At time t, the position of a body moving along the s-axis is s = t³ - 9t² +24t m. a. Find the body's…

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A: To find the rate at which the area is changing

Q: 12. Find f x √(1-x²)³ dx

A:

Q: The answer

A: We are asked to find the increase in cost if the production level is raised from 1200 units to 1800…

Q: Find the length of the spiral r=0², 0≤0≤ √21. The length of the spiral is (Simplify your answer.)

A: Topic = Integration

Q: 11. -log/2x+3

A: To graph the given function. To state the domain and range. To identify the parent function and to…

Q: Find the length and width of a rectangle that has an area of 392 square feet and whose perimeter is…

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Q: The percentage of movie advertising as a share of newspapers' total advertising revenue from 1995 to…

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Q: A glass sphere given by the equation (-1)+(y-2)²+(-3)² = 36 is floating above the plane 2x+y-2x =…

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Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: The roots of the auxiliary in y (4) + 3y"- 4y=0_ Om= ±2 Om=+1,i Om= + 2i Om= ± 1, ± 2i

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Q: Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface…

A: According to question,Given vector,F→ = 4yi→ + 7zj→ + 7xk→z = 64-x2 + y2for z≥0.

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: 14. √9-x² x2 S dx

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Q: Find the most efficient substitution for the integral textbook. Enter f(2). Answer: e²x dx 1+Ax /₁…

A: we know   ∫11+x2dx=tan-1(x)+cdexdx=exI=∫e2x1+e4xdx

Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= ax…

A: According to question, Given Function,gx = axif x&lt;0x2-7xif x≥0

Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: ppose that x = f(y) is determined from the equation y = x + sin(3x) on a neighborhood of O. Find…

A: Given query is to find indicated derivative.

Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

A: NOTE: Refresh your page if you can't see any equations. . take derivagive

Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: Quality management charges 7.5% of the monthly rent on properties it manages. If they manage nine…

A: Given Quality management charges (r)=7.5% of the monthly rent on properties it manages total number…

Q: Determine all values of x. (if any), at which the graph of the function has a horizontal tangent.…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. X(t) = dx dt…

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