dy Solve dx x+ y and find the particular solution when y(1) = 1

Q: Solve the problem. Electrical systems are governed by Ohm's law, which states the V = IR, where V =…

A: Here we will find rate of increasing resistance,

Q: 6х3 + х2— 5х —7 –dx. Use Зx2 —х — 2

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Q: Find the potental function of the vector fieid F(z, 9) = -9yevi- 18zyej when the constant of…

A: Solving

Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

A: Solving

Q: Jse cylindrical shells to find the volume of the solid generated when he region enclosed by the…

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Q: Find all the zeros of the function and write the polynomial as a product of linear factors. х4 +…

A: Lets find the zeroes:           x4+13x2+36=0…

Q: 1 2 dx

A: ∫9x12dx=9∫x12dxusing formula ∫xn dx = xn+1n+1here, n =12

Q: (In x) ² dx,u Use integration by parts.

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Q: 3. Determine the differential coefficient of y 2x- 3 when x = 3 Give the answer correct to 3…

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Q: Fnd the gradent vector feld o S(2,9) = VEz+ y. Provide your answer below

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of h(z) = , • sin (z ) (cos…

A: A detailed solution is given below.

Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = f(u) du where g(x) = u, to evaluate the…

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Q: QUESTION 2 Assume that the linear cost and revenue models apply. An item costs $2 to make, If fixed…

A: Solution: According to the linear model, R(x) =mx +b Total Cost = $6000 + (2*400) = $14000 Profit =…

Q: ah4.

A: answer is in next step

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(2) = | sin(t*)dt F'(x)…

A: Given query is to find the derivative.

Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is…

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Q: | (In x)² dx_use integrationI

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Q: Use the algorithm to sketch the curve.

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Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points.   ​(1​,−1​),…

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Q: Use quadratic formula to find all the real zeroes of the 2nd degree polynomials 6x²-x-1

A: The given polynomial,      6x2-x-1

Q: Q2/ Solve the differential equation by using the appropriate method (cos²x) y' = y²(y – 1)sinx

A: We have to find the solution of the given differential equation.

Q: Write the following first-order differential equations in simplified standard form. dy (5х + 3)у +…

A: We have to write the given first order differential equation in standard form .

Q: What would be the shape of the graphr= 2 cos 0, given that 0 = 0, 7, 5, ? semi-circle in the first…

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Q: du is? x³ sin (x?) dx is evaluated using IBP, the value of v du When A sin (x2) 2 B none of the…

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Q: ivergent or divergent. If it is convergent, find its sum. (If the quantity diverges, enter…

A: Given query is to find series converges or diverges.

Q: Convert the polar equation r² = 2tan 0 to a Cartesian equation. %3D Ox3 + y3 = 2 y x3 + xy² = 2 y…

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Q: 2. Find the Taylor series for the following functions centered at the given value a. Also find the…

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Q: For function f, how would you remove the discontinuity? In other words, how would you define f(5) in…

A: For continuity limit of function at a point should be equal to functional value at that point.

Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 = 4 cose 4 r = cose 43 r =…

A: Answer is in step 2.

Q: If a function f is differentiable on [7,11], then which of the following statements must be true?…

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Q: Given the differential equation y" = 4 x y' Using Reduction of Order and the letter "R" to this…

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Q: 3. Let h(x) be a twice-differentiable function with h'(x) < 0 and h" (x) < 0 for all real numbers x,…

A: Here, given that h'(x)&lt;0 for all x. Now,…

Q: dy 3. 2 = e3x+2y Ans: 3e-2y + 2e3x = c %3D dx

A: The given differential equation,dydx=e3x+2y

Q: 4 cos(x) = 4 cos(x)i - 4 sin(x)j -4 sin(x) u3D( )i+( ) j

A: solution is given below

Q: 2. 01> 7 ( (E) 1<1<2 and 5 <r<6 OA 旧0 OB 近。

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Q: x³ sin (x²) dx is evaluated using IBP, the value of v du When A 2 sin (x2) -2 sin (x2) none of the…

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Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A: Given  a=3, b=8 and n=2

Q: a b and c pls

A: To evaluate the following  given limits.

Q: termine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: 8. xy +y2 - x²y' = 0

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Q: F(6)=-7 dad f16)=5 %3D d Jox" - 6x - lo Jx F(x)

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Q: f(x) = 2cos(3x−2) 1. What is the first derivative of the equation? 2. What is the second derivative…

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Q: Consider the function f(t) 9 sec?(t) – 9t?. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: is this true or false the average rate of change between any two points on the graph y=2x+7 is 2

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Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: Given /V-x²+ 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? Sa.…

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Q: Find the largest number d such that if |x - 2| < 8, then |4x – 8| < ɛ, where ɛ = 0.5. Repeat and…

A: Solving

Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

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Q: If f(x) (t3 + 7t + 7)dt then f"(x) =

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Q: A radioactive element decays according to the function y=yoe^-0.0388t, where t is time in years.  If…

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