Find the particular antiderivative that satisfies the following conditions: 10 10 H' (x) Н(1) %— 0. x2 H(x) =

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Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the ...

A: topic - application of derivatives

Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotx)dx=0is

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Q: 2. Evaluate [log(-1-/)(-2- j2)] tan(4 + 3i) cosh-1

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A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: Question 4 (2x* +)x J (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, th...

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Q: Evaluate the integral. 7 sin-x dx +C NOTE: Enter the exact answer in expanded form.

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Q: Use the Laplace transform to solve the initial value problem below: b) y" + 3y' + 2 y = f (t) Where ...

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Q: 9. Evaluate f(e* + 2*) dx a.) 2e* + +C In2 b.) er + 2ln* + C c.) e* ++c d) e* + 2ln x + C In2 10. Ev...

A: Evaluate integrate. And follow step 2nd .  According to guidelines we solve only first three parts. 

Q: 4. The standard form of the first order linear differential equation x'y'+xy + 2 = 0 is

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Q: (2х — Зу + 2)dx - (3x + 4у-5); У-3) %3 4 |

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: Q3) Find the limit for the following function by using L'Hopital's Rule: x2. e* lim x→0 tan2 x

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Q: e solution to fe2* sec?(e2x+1)dx is equal to k tan(e2*+1) + C , find the exact value of k.

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

Q: Let s- dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f( er+1 3 A n ...

A: Given query is to find the value of f(3).

Q: Use the difference an+1 an to show that the sequence {n – 8"} +oo In=1 is strictly increasing or str...

A: The sequence{n-8n}n=1∞

Q: general equation in y dx 2. The linear differential equation dy x = y' has the integrating factor eq...

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Q: Given: 2/(x)dx There is a function f (x) such that when u = -x, the resulting integral is 2du Evalua...

A: Need to find the function f(x). Given information: The integral is ∫2f(x)dxe-x3. There is a function...

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A: Given: ∑n=1∞11ln nn

Q: Eliminate the parameter to find a Cartesian equation of the curve. 1 x(0) -cos 0 20 y(0) = 4 cos(20)...

A: (a)To determine: The cartesian equation by eliminating the parameter. (b) Range of x-values, express...

Q: 2. xdy +(y-xy+2)dx=0

A: Given,           xdy+y-xy+2dx=0To find : Solve the differential equation.

Q: Solve the following differential equation xy = y(Iny- Inx) Select one: O a. In(2)- L: E CX O b. In(2...

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Q: If the solution to fez* sec²(e2x+1)dx is equal to k tan(e2*+1) + C , find the exact value of k:.

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Q: m+2m Consider J dm. If we letu = m+ 1, what will be the resulting integral as a function of u? In(u)...

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Q: Suppose x = 6, 0 = 4 radians and ø 8 radians in the figure, which is not drawn to scale. Determine t...

A: x =6 θ = π/4 so apply trigonometric function tanθ = y/x y = xtan(π/4) y = x y =6 for right angle tri...

Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

A: Given query is to find the value of indicated function.

Q: 23) Find the limit for the following function by using L'Hopital's Rule: x². e* lim x→0 tan² x

A: limx→0x2extan2x

Q: sin S S. cossx (3-2secs)

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Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ().

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Q: 2. Given: a, = 5, a4 = 14 Find: az =? а. 7 b. 8 с. 10 d. 12

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Q: Using the partial fractions technique, the function f(x) = 37x+82 can be written as a sum of partial...

A: ∫37x+82x2+2x-24 dxConsider 37x+82x2+2x-2437x+82x2+2x-24=37x+82(x-4)(x+6)37x+82(x-4)(x+6)=Ax-4+Bx+637...

Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: The standard form of the first order linear differential equation x'y'+ry +2=0is

A: The standard form of a first-order linear differential equation is:

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Q: y = Vx – 7 ,(7,0) -

A: Solution is written in below steps.

Q: Evaluate the integral. 5 x2 e dx +C

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: Given series:  ∑k=1∞k(1/5)k Then , ak=k(1/5)k ak+1=k+1(1/5)k+1

Q: The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into co...

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Q: Let u = 10TX. The differential of u with respect to x is du = 1072 20 7 Step 2 Rewrite the integrati...

A: topic - indefinite integral

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Q: Evaluate the integral J x cot x² sin(in |sin x²l) dx.

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Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

A: We can solve the given problem by using the Pythagorean theorem and the derivatives.

Q: An+1 to determine if the sequence An is strictly increasing or strictly decreasing. Use the ratio 5n...

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Q: a. When the observer initially spots the ship, the angle of depression for the observer's vision is ...

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 cosh(x) dx

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Q: 5 Suppose that cos(0) = and 0 < 0<. 13 a. Determine the exact value of sin(0). Enter your answer as ...

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