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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: The area of a square with side s is A(s) s². What is the = rate of change of the area of a square…

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Q: Complete the Proof Statements Reasons 1. ABCD is a AC BD given 2. AD BC 3. 4. LABC = ABAD 5 ZDAB…

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Q: 5. Lim xsinx x+0+

A: Consider F=limx->0+xsin x Taking logarithm on both sides

Q: Compute the volume of the solid that results when the region about the given axis. 2) x=-y +4, x =…

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Q: Estimate the slope of the tangent line to the curve at the given point (-0.5,4.998) on the graph to…

A: Given that,

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 maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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Q: The vertical face of a dam has a height of 50 m and width of 600m. What is the total fluid force…

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Q: 4. Given z = x-y x+y Find əz/ax 4

A: z=x-yx+y differentiate partially with respect to x

Q: 3. f(x) = = 3x² x² x+5 4

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Q: Evaluate the integral In 23 In y s s ex+y dx dy.

A: Given: ∫1ln23∫0lnyex+ydxdy

Q: 2) 1 Vl-x dx

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Q: 3. Reverse the order of integration in 24e² dydx and then evaluate the integral with the new limits

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Q: Evaluate sin(x) 1+cos(x) -dx

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Q: Please

A: Please refer to the image below

Q: A. By power series, prove that: d 4 sinhx dx sinhx = coshx

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Q: A(3) = A(8) =

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

A: Given curves y=x^2 and x=y^2

Q: [*³- x³ − 2x² – 3x x + 2 dx

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Q: what happened to the 1(1-lambda) part in the first line

A: Given

Q: The shaded region between the graphs of y=-22² +20 and y = 3x - 15 is displayed below in orange. -40…

A: Area of a region is given by ∬dydx, when the rectangle is choosen parallel to y-axis.Area of…

Q: The function f(x) = max x, searches for the maximum value between a number. Prove formally that the…

A: Given; f(x)=maxi .xi

Q: Find all the values of x such that the given series would converge. 8 3n (x2)(n+1) (n + 5) n=1 The…

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 1) L-1…

A: Given problem:- Find  L-1[(-3s2 -12s-8)/(s+2)3]

Q: Consider the following graph. 1 1 X

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Q: Find the volume of the region bounded above by the plane f(x,y) = 6x +2y + 25 and below by the…

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Q: Given cos(8)= - 5 m<8<³ 2 for π<8<- then tan(0) =

A: We can find the answer as below.

Q: 4. f(x) = 1-x 2x²-5x-3

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

Q: Approximate 141/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

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Q: Find the area of the region that is outside the cardioid r = 7(1 – sin ) and inside the circle r =…

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Q: find the equation of the tangent line to the graph of f(x)=x^2(x^1/2 +1) at x=4

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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…

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Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

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: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

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Q: 5. Consider the function if x € Q f(x)= if x # Q. Show that f is not Riemann integrable on [0, 1]. n…

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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: Compute the area of the region enclosed x² 5x X 1) y 2 2 2 +

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Q: Find the average value of the function f(p, ,0) = p over the solid ball p ≤7. (Simplify your answer.…

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Q: Q3: A. By power series, prove that: d 4 sinhx dx coshx

A: Explanation of the answer is as follows

Q: 1. Use the properties of sigma notation and the summation formulas to evaluate 138 540 136 925 10 WI

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Q: The graph shows the parabola c(z) = 7-², together with a shaded region. 94 -2 -1 3 + -2 Set up the…

A: The given equation of the parabola is: cx=7-x2 Now find the x-intercept of the given parabola.…

Q: Evaluate the double integral over the given region R. xy² dA 2 X + 1 R xy² SS. dA= +1 R (Type an…

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Q: Question 2 fe2x cos x dx Oln sin x + ² +C Oe² sin x + ² cos x + C O None of the choices ○ (1+x³)√1 +…

A: Please see the answer below.

Q: √√√x ²-1 d For the integral What is the re-write of this integral? Ⓒ / - A z² dz 2(z² + 1) B…

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Q: cscxdx 5+ cos²x sin²x

A: solution:-∫csc25+cos2xsin2xdx,    {…

Q: Evaluate the integral. π/4 Jo 0 sin5(x) dx

A: Given query is to find the value of the integral.

Q: 6. Find the area bounded by the curve y = log x, the x-axis, and the line x = 2.

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Q: Set up the definite integral required to find the area of the region between the graph of y = 14-2²…

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