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Q: Calculate the derivative 33 4:6 dx using Part 2 of the Fundamental Theorem of Calculus. 33 dt = da

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y=x and y=x^2 ab...

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Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

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Q: All parts of this problem refer to the function below. y = (9+ 6x)²/¤ dy a) Use logarithmic differen...

A: We have to find derivative

Q: A company's total cost, in millions of dollars, is given by C(1) = 130 -60e where t is the time in y...

A: The company's total cost, C(t)=130-60e-t

Q: ()- 2y on [–10, 15]. Determine the absolute extrema of f (y) = sin

A: Here we have to find the absolute extrema.

Q: What is the range of g(x)( 1/2)^x - 4

A: Topic:- algebra

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

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Q: dx 4. Evaluate the integral by trigonometric substitution: , Væ²-9

A: We can find the integral using trigonometric substitution as below

Q: [4x°cos(xy)-x*ysin(xy)– ye" +3x³]dx -[x°sin(xy)+ xe" +6y°]dy = 0

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Q: Find the focus of the parabola 4x +24 =8y-y².

A: Given: - The parabola is, 4x+24=8y-y2 To find: - The focus of the given parabola.

Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

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Q: attached picture please attached

A: Topic:- derivatives

Q: [5tan 20 elan 28 sec? 2 Bd B 1.

A: Gievn, ∫5tan2βetan2βsec22β dβ We can solve this by substituting u=tan2β  

Q: INTEGRAL EVAL

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Q: Solve using homogeneous differential equation x*dy+(2.xy – y² kdx = 0 Let the substitution y=2; y=vx...

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Q: 5 The function f(x, y) = | x' cos is homogenous inx and y of degree

A: Given that: f(x, y)=x2cos2yx-y2+x3y

Q: 4) y -2sin x, y=-2cos x, X -- 6' 6.

A: Since you have posted multiple question in this question which re not interlinked so i have solved f...

Q: zetch the region(s) enclosed by the given curves. Find the area oft y = r and y = VI 11

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Q: Cora baked 16 cookies with 2 scoops of flour. With 5 scoops of flour, how many cookies ca Cora bake?...

A: Cora baked 16 cookies with 2 scoop of flour. With 5 scoop of flour, how many cookies Cora can bake.

Q: Center of Mass: Point masses in the plane. Suppose three point masses are placed in the ry-plane as ...

A: We find out centre of mass for the given system. Follow 2nd step.

Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

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Q: 1 The function is equivalent to the series: 1-2t Select the correct response: 3 5 -1 -t--t2 2 t3 + ....

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Q: evaluate the indefinite integral / dx. Av7² – 4 xª/x² -

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Q: Alden found a partially completed 5-D table: 6. Define Do Decide Target 74 Trial 1: 15 2(15) = 30 15...

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Q: 6x2 – z+1 1→7 2x2 + 3x - 1 Find the limit, if it exists: (Do not use L'Hospital's rule) lim Note: Gi...

A: limx→76x2-x+12x2+3x-1

Q: Solve the following second-order differential equation: y" + 4y' + 5y = 8x sin æ

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Q: Given the set of information, find a linear equation f(x) satisfying the conditions, if possible. (I...

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Q: Kay. Based on where Paolo landed, police accident investigators would like to know how fast the car ...

A: Let f be a function  of any variable say t be the variable.  Let f(t) be a function of variable t an...

Q: 3. The function f(x, y)= 8x' - /4x° +3y° is homogenous in x and y of degree 4. The function f(x, y) ...

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Q: An employment research company estimates that the value of a recent MBA graduate to an accounting co...

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Q: 1. Let A, B and C be the vertices of a right triangle in R with hypotenuse BC. Let D be the point on...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Find thlength of the curve.  Y=1/6(x^2+4)^3/2, 0<x

A: We have to apply arc length formula to solve the problem

Q: 1.)(x + y - 1) * d * x - (x + 4y + 2) dy = 0

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Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: x- 1 (i) y = () y = Vx(Vx+1) x + 1

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Q: 94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the...

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Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or produc...

A: Solution ) c = 0.075x2 + 6x + 2  with dx = 1  differentiate with respect to x  dc/dx = 0.075 × 2 x +...

Q: Which of the following is not true? (A) - |f(x) dx- J8 (x) dx B) 8 (x) dx C) (x)dx=k (D) O fas(3))dx...

A: some properties of the integration are given, we have to find the not true statement.

Q: 1 + 20 f(x) , g(x) h(x) The partial fraction decomposition of - + 3x2 can be written in the form of ...

A: Given that: x2+20x3+3x2

Q: Chq/ Evaluate & F.dr by Stoke's theorem, Where fay+x§-cx+z)£ qnd C is the bounday of tri angle with ...

A: Stoke's Theorem : ∮F→.dr→ = ∫∫ F→.n^ dS

Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

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Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: As per our company guidelines, we are supposed to answer only the first question. Kindley reposts ot...

Q: A projectile is fired straight up from a platform 10ft above the ground, with an initial velocity of...

A: Topic:- application of integration

Q: Evaluate each of the following indefinite integrals. (a) J5t – 10t-6 +4 dt (d) Say (b) Jx° +x° dx w+...

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Q: EVALUATE THE INTEGRAL OF THE FOLLOWING. INDEFINITE INTEGRALS. CLEAR

A: We will find the integral's value. 

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - The contour...

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Q: . (6xy² – xey + 2y)dy = y(e*y – 2y²)dx

A: Using method of exact differential equation.

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.