1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

Q: The following information is given. f(3) = 5, f(3) = -2, g(3)=2, g(3) = 7 f(5)=3, f'(5)=-1,…

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Q: 5. Find the area of the region bounded by y=x² - 6x +5 and the x-axis. 125 (a) A= square units 3 (b)…

A: To find the area of the region bounded by given curves.

Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

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Q: Using the Limit Laws, find limt→0 t2+9−3t2. Do not use L'Hospital's Rule.

A: By using the Limit Laws, to find limt→0 t2+9-3t2.

Q: (b) Using implicit differentiation Find the derivative of 1. y³ + 3x²y = 13 with respect to x and…

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Q: Refer to the functions r and p. Find the function (p-r) (x) and write the domain in interval…

A: As per the guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Evaluate the following integral: Ca-ex ·e¯³) dx a. Analytically b. Trapezoidal rule c. Composite…

A: As per our guidelines we are allowed to answer only three subparts of a given question. Kindly…

Q: Solve. |x-8=24 Select the correct choice below and, if necessary, fill in the answer box to complete…

A: option (A)  is correct. see below the calculation

Q: 7. Let R be the region bounded by y = √cos x, generated when R is revolved about the x-axis. (a) V=…

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Q: Prove the identity. cos(x - 1) - sin(x + 1) = = 0 Use the Addition and Subtraction Formulas, and…

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Q: uge to answer two questions. FRONT PAGE Pricing Disney+ Disney decided it wanted to provide…

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Q: Find the minimum and maximum values of z= 9x+4​y, if​ possible, for the following set of…

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Q: Find the general solution of the differential equation ㅠ y" + 16y = 11 sec²(4t), 0 < t < NOTE: Use…

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Q: A region bounded by f(y) = 2y + 3, y = 1, y = 3, and x = 1 is shown. What is the volume of the solid…

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Q: Use the chain rule to find dz/t. z = x² + y² + xy, x = sint, y = et

A: Here we will find dz/dt,

Q: Give the domain and range of the graph shown to the right. Then, use the graph to answer parts (a)…

A: Domain :  domain is the  all value of x where the function is defined.

Q: Consider the integral 11 [™ (22² + 2x + 1) da (a) Find the Riemann sum for this integral using right…

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Q: 13. Find the distance from the point (2, 2, 3) to the plane 2x+y + 2z = 4.

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Q: 3. The Laplace transform of the f(t) = t²e-2t cos(3t) is (a) 2(+2)(8²+45-23) (s²+45+13)³…

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Q: 8. y = In (In (In x))

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: 1- Let n and r be positive integers such that r≤n. Then (a) Pn=nx pn-1 (c) P = pn n-1 (b) P = P-1…

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Q: 1 3x (2x + = + ₁). x+1 Find k'(x) if k(x) = 3x (2x + Provide your answer below: k'(x) =

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Q: b) F (1) √x 1 -Jetr 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find 2 Given that F(x) =…

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Q: 12.) S³ S² (3x - 2y ¹) dy dx

A: according to company rules we can answer only the first question and rest can be reposted.

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: We will use calculus of two variables to find the required information about the function.

Q: ४ = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: von ² moren notional a from x = 1 to x = 2 8 y = ln x -

A: Given :y=lnx-x28

Q: Complete the table for the equation y=x-2, and graph the equation. X -2 - 1 0 1 2 Use the graphing…

A: line

Q: Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2.

A: Area enclosed by curve r=f(θ), α≤θ≤β is given by  Area = 12∫αβr2dθ

Q: 11) S₁0 x ³ lnx dx

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Q: 77. an = (In 3 In 2) + (ln 4 − ln 3) + (ln 5 − ln 4) + - - + (In (n − 1) - ln (n − 2)) + (lnn − ln(n…

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Q: 2) By using Lagrange multiplier method, find the maximum value of f(x, y, z)=x+ z subject to the…

A: Given function:-     f(x, y, z) = x + z subject to condition x2 + y2 + z2 = 10

Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. BD…

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Q: Find the derivative using logarithmic differentiation. r³(2x - 1) (5x + 1)7(x + 1) 14. y=

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Q: Consider the following functions. f₁(x) = 8, f₂(x) = cos²(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=x²-In(x),…

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Q: π/2 1-z [²6² x cos ydzdydx = = [Show your solution.]

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Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A: Let's solve for time taken the object to hit the surface of the moon.

Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

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Q: Let k(x)=f(x)g(x)h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is…

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Q: Task Title: Pair Me! Materials: Mathematics notebook and ballpen Instructions: 1. Form 8…

A: Concept: Four basic operations are included in basic math operations: Subtraction(-) Addition(+)…

Q: Solve the following initial value problem completely, and check your answer by comparing it to the…

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Q: What is the area of the region in the first quadrant bounded above by y = -2x + 8 and below by y =…

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Q: Find all critical numbers for the function. State whether it leads to a local maximum, a local…

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: I have stated the used formula in the solution

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 2 x intercepts…

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Q: Let f be a function with continuous second partial derivatives and define: z = f (2x³y - y₁y³) if…

A: z= f(2x3y-y,y5) ,  u= 2x3y-y, w= y5   And zy= (2x3-1)fu+5y4fw  Find zyx

Q: Use the formula for the area of a trapezoid to evaluate √₂² (2x- 2 (2x + 3) dx.

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Q: Evaluate the given integral by changing to polar coordinates. sin(x² + y²) da, where R is the region…

A: Given that,