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Q: A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a…

A: First find critical point then check where it is maximum and put value of critical point in…

Q: solve for two cases . | csc²20 cot 20 do

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: graph below, whet is a pont ad which it would O Giue the function in the reas ona ble estimete…

A: The inverse function is reflation to original function at y=x

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 12 –…

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Q: complete

A: Please refer to the image below

Q: For the points P, (8,3,2) and P2(9,4,3), find the direction of P, P, and the midpoint of line…

A: Coordinate of P1 is (8,3,2) Coordinate of P2 is (9,4,3) We have to find the mid point and the…

Q: Se*(4 + e*) dx Evaluate the integral of A (4 + e*)² + c B. (4 + e*)? +c (4 + e*)² + c (4 + e*)* + d…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: L, V4 – x²dx.

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Q: Question * Let f a piecewise function as follows. Determine lim f (x). х- 2, x2 (a) 0 (b) +00

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Q: The period of y = 2 sin 4x is _____. 2 pi/2 4pi

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Q: 60 50 40 30 20 10 -10 10 20 30 Victoria is a lifeguard and spots a drowning child 30 meters along…

A: We need to find distance of jumping.

Q: 4: A- Solve the differential equation subjected to the condition y0)=1 dx

A: Firstly separate the variables and integrate on both sides and solve the differential equation.…

Q: (b) Lines of reflection Lines of reflection Lines of reflection Order of rotational symmetry Order…

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Q: e or sin 1 2 and tan 2 cos .2

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Q: Problem #5: In the equation f (x) = e* In(5x) – e* + log find f '(3).

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Q: ravels down a highway at 50 m/s. An observer stands 250 m from the highway. w fast is the distance…

A: Topic:- geometry

Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: lim [f(x) – (x + 1)] = 0 • f is R\{2, –2} • f(1.5) = f(3) = 0 continuous • lim f(x) = -∞ on lim…

A: Given:-   To find:- Determine the intervals where the graph of f increasing/decreasing and concave…

Q: Question 16 Evaluate the definite integral - 6 2x2 + 5 d.x 3 194/6 86V3 5 > Next Question

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Q: sin III. Use Squeeze Theorem to evaluate lim In r x→0+

A: This is a problem related to limit and continuity of the function. Based on the general formula and…

Q: 6. Solve the differential equation: 2xydx + (x² - 1)dy = 0 А. ху - 1- с B. x'y - y = C С. x y = C D.…

A: We have to solve the equation

Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

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Q: cos 3x cos 4x dx 5.

A: We will use formula of 2cosAcosB to evaluate the integral.

Q: Calculus Question

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Q: 8. 1 is convergent or ) Use the Integral Test to determine whether the series divergent. "(Зп — 1)?…

A: To determine whether the series is convergent or divergent.

Q: 06: A- A projectile is to be fired from ground at angle of 30° to reach a target point that is 100m…

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Q: dy x2 + y = xe*. dx Find the integrating factor to the first order linear equation, В. In x С. х D.…

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Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: x = y+ Vz? – y² O y = x cos(ln|æ|+ C) O y = = sin(ln|æ| + C) sin -In|피 3 C cos-" (2) – In|æ| =C

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Q: Use sigma notation to write the following left Riemann sum. Then, evaluate the left Riemann sum…

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Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

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Q: f(x)=(5+x4)1/4 what is f2(x)

A: Given query is to find the second derivative of the expression.

Q: 12' >(- 1)"-'b. where b = n' 1=1 (n+2) 14"+3 a) Find and simplify bn+1 "q b) Test the given series…

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Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

Q: Evaluate the integrals in the following questions using integration by parts For |0 cos cos T0 do

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Q: 0 cos n0 do

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Q: 3. Evaluate: lim -) X-0 sinx

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Q: Using Green's Theorem, evaluate (sin z – y) da + (a³ + e") dy where C'is the circle x2 + y = 4.…

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Q: |cos 3x cos 4x dx :

A: We have to find the given integral.

Q: Evaluate the integral given. sec(2a)tan(2a)dx +C %3D

A: ∫ sec(x)tan(x) dx =sec(x)+C

Q: 7. Su° (4 + u°)°du

A: The objective of the question is evaluate the indefinite integral.

Q: The integral of the given function sin³x cos x dx is equal to a. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

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Q: [cos 3x cos 4x dx

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Q: Use Newton's method to approximate a root of the equation 3x' + 3x* + 2 = 0 as follows. Let r1 = 2…

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Q: 1/5 Find the minimum and maximum values of the function y = (t – 312)" on the interval [-1,2] by…

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Q: For the points P,(4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

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Q: Find The directed distance of The curve Lit Vittz

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Q: dy Siven the equation below, find dz 16z° + 2ay + y° = 19 24. dy de low, find the equation of the…

A: Given query is to find the derivative and the equation of the tangent.