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

Q: Find the area between the curve and the x-axis for the function y = x2 +3x between x= -1 and x = 2 a...

A: To

Q: A glacier in Republica was observed to advance (h)2.5______ inches in a (i)____71_______ minute peri...

A: This is a basic problem of calculus

Q: Find the derivative of a function f(x)=(x^2+1)^3 (2x−1)^4 f ' (1) = ____

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Q: Consider the triangle formed by joining the points (0, 0), (A, B) and (C, 0) as depicted below. (A, ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Finding the length of a curve. Arc length for y = f(x). Let f(z) be a smooth function over the inter...

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Q: Part 1. Setup the integral that will give the mass of a metal rod that is 1l inches long (orientated...

A: length ofrod = 1 inches density of rod ρ=4x lb/in

Q: 124 Х 209

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Q: How do you evaluate csc^-1(sec2)? It's an inverse function

A: We have to find the value

Q: 4 Suppose that f(1) = 9, f(4) = -7, f'(1) = 6, f'(4) = -1, and f" is continuous. Find the value of :...

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Q: The point P (4, -2) lies on the curve y = x2 - 7x + 10. The point Q (x, x2 - 7x + 10) is also on the...

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Q: 3- -3 -2 -1 1 2 3 Refer to the graph below to answer the following 5 questions. Record your answer t...

A: Part (a) As we see when x tends to -3, the left hand limit and the right hand limit of the function ...

Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if F...

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Q: and evaluate the integral that gives the volume of the solid generated by revolving the plane region...

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Q: 3sin4t di 5(1– 3cos21)

A: To solve the integration. 

Q: se vectors to determine whether the triangle with vertices A = (1,–3,–2), = (6,–2, -5) is right-angl...

A: we know that if the dot product of two vectors is zero then the two vectors are perpendicular. there...

Q: The average change of a function f over an interval [¤1, x2] is f(x2)-f(x1) First find the average r...

A: We can find the instantaneous rate of change as below

Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

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Q: 2メー7 f xス」

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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = cosh (2x). (Use...

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Q: 7/3 tan'x secºx dx 30.

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: An object moves according to the function h(t) = -t² + 13, where h(t) is the height, in meters, and ...

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Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a functi...

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Q: y'+ 3 y = 4 x y(0)= 3 Y(x)=|

A: We can solve the initial value problem as below.

Q: nd [(dy)/(dx)] if the curve is defined by 7 x? e7y + 6 y² e² x

A: We are asked to find the derivative 

Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: f A is 3 × 3 and det(2A-1) = -3 = det(A³(B¯1)"), find det B. 32 a) 을 (b)을 (e) (d) (e)을 83 34 23 83 (...

A: Topic:- matrix algebra

Q: Зx+2 2. Perform the indicated function evaluations for f (x) = 2x+3 a) f(-4) b) fE) c) o) f(-) e) f ...

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Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0 (x...

Q: Let f(z) Find the values of a where f' (1) = 6. こ+7 Give exact answers (not decimal approximations)....

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Q: Calculating Mass from Linear Density. Mass-Density Formula of a One-Dimensional Object. Given a thin...

A: Topic:- application of integration

Q: 3. Determine whether the following function is odd or even. a) f(t) = t² + 2t + 2 b) h(x) = 5x7 +1 c...

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Q: Seax sinh ax dx ах

A: Given integral is  ∫eax·sinhax dx To evaluate the value of given integration, we will use the    sin...

Q: 4х + 3 dx x2 +1

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Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded from above by the g...

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Q: y² (е2*) 3 Зу + х2

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Q: 5 In x Evaluate f r/1- Inx

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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: 0.4 ソミーxe* -1 -0.5 1.5 -0.2 -0.4 2.

A: During calculation of integral,  Substitute x^2 = t

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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Q: Let f(x)=2x2+12 and let r(x)=9x for x>0. Find a simplified formula for the composite function f(r(x)...

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Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...

Q: Question Evaluate the following limit using L'Hospital's rule. (푸)( lim (cos(6æ))

A: We will solve the given limit by L' Hospital rule

Q: x*dy+ (2.xy – y² }tx = 0 Let the substitution y=²; y=vx; dy=vdx+ xdv v = =

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

A: fx,y=y-2x Since value under the root will be ≥0 So range of f will give square root of non negative ...

Q: Suppose that f(x)dx = -11.1, f(r)dæ = -4.4, g(x)dr = -18.4, and o g(z)da = -4. Then what is f(x) + g...

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Q: Question 2 In the expression /In²sinx -dx, the integrand is tanx Insinx A tanx B -Insin'x + C In sin...

A: Given:- ∫ln2sinxtanxdx To Find:- Integrand from given expression

Q: 8x sin x y" + 4y/ + 5y = 8x sin x 1. ollowing econd ifferential equation:

A: The given differential equation is:y''+4y'+5y=8xsinx