Differentiate f(r)= (3x² + 10 – sin r)º. -

Q: The base of a solid is the region in the first quadrant bounded by the curves below. 4y = 4 – x? x-a...

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Q: 1. If x'y-xy'+x' +y = 0 find y. %3D

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Q: A roofer, Anita Shin-Gulls, is re-shingling a house in Richmond Hill. The roof is 1500 cm above the ...

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Q: 4. Find the volume of the solid generated by revolving the region bounded by the curves y = 2-x² and...

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves...

Q: Find the equation of the tangent line (in Slope-Intercept Form) at the given point. Function: h(t) =...

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Q: Therefore, we have 3w?- 7w + 5 - 3w2 7w/2, sw 1/2 Now, since the function Is a sum of power function...

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Q: y+ Cge%x Cq cosx + C,s C, cosx + Cg sinx 2.

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Q: 3. Find the area bounded by y = x2 – 2x – 3 and y = x+ 1.

A: Calculus   -  area between two curves .

Q: The number x (in thousands) of cat flea collars demanded each year when the price of a collar is p d...

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Q: S, (4Vw) dw 4.

A: You have asked only question number 4,4. According to question,Given integral,∫914w dw

Q: Find the slope of the tangent line to the curve 2x2 + 4xy- 2y = 142 - at the point (– 1, – 4).

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Q: (n + 2) - n sequence converges to a+2) -星 sequence does not converge.

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Q: 14 (x),6 dr 36 + [g(x)]?

A: We have to solve the value. 

Q: Check the differentiability and continuity of the function below.: 3x 1. f(x) = 2. f(x) = 5- x² at x...

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Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(6r – s, s? – 4r). Use the table o...

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Q: 7. There is a removable discontinuity 8. There is a jump discontinuity at x = 1 and f(1) = 4 at x = ...

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Q: 2. Find equations of the tangent line and the normal line to the curve y = 1+ x2 at the point (1, 3)...

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Q: Sx (x² – 2)14 dx

A: Use algebraic substitution to integrate then simplify. 

Q: A. Evaluate the following integrals.

A: Given that: ∫x(x2-2)14dx

Q: 8. Evaluate the following integral |cos (x)dx

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Q: Find an arc length L of the curve given by r(t) = ⟨2 + cos 3t, 3 − sin 3t, √ t^3⟩ for 0 ≤ t ≤ 5 exac...

A: The arc-length formula is: L=∫ab(x'(t))2+(y'(t))2+(z'(t))2dt...(1)

Q: coS X =dx sin? x

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Q: A triangle in R3 has two sides represented by the vectors = (2, 3, –1) and OR = (1, 4, 1). Determine...

A: Topic:- vector algebra

Q: Solve the differential equation with appropriate method. Finalize answer in terms of * and Ccombined...

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Q: Given the graphs of f(x) and g(x), determine the value of expressions below. y f(x) y = g(x) lim (f(...

A: From the given graph, we can find the following limits: limx→2f(x)=0  limx→2g(x)=0 limx→1g(x)=1 limx...

Q: For this assignment, you submit answers by questions. Assignment Scoring Your best submission for ea...

A: Let's find. 

Q: Determine whether the function x2 + 2 x > 2 f(x) = { 6 = 2 is continuous at the 4x x < 2 - given poi...

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Q: 2. Given r(t) = e' cos ti + e' sin tj+ e'k , find the tangential and normal components of accelerati...

A: Given: r(t)=et cost i +et sint j+et kTo find the tangential and normal components of acceleration:Fo...

Q: V=(x^2)yi-xyj+xyzk

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Q: If R is the region bounded by the lines y = x,y=0,x= 1, evaluate the dxdy double integral S by chang...

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Q: Use Table the limit of values to defermine tim.

A: The limit is given by limx→0x1-x To evaluate: The value of the limit using table values.

Q: I. Write the equation of an ellipse from general to standard form. Write your final answer on the sp...

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Q: Graph the function and observe where it is discontinuous. Then use the formula to explain what you h...

A: Graph the function and observe where it is discontinuous. Then use the formula to explain what you h...

Q: ОА. (х+82 + (у - 9)2 3 9 О В. (х+9)2 + (у -8)2 %3 3 OC. (x-9)2 + (y + 8)2 = 3 O D. (x-8)2 + (y + 9)²...

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Q: 10. Let f(x, y) = x²y + y. Find the minimum and maximum values of f subject to the constraint x² + y...

A: Given: fx,y=x2y+y The constraint equation is: gx,y=x2+y2=5   Now apply the Lagrange's multiplier; ∂f...

Q: nd the arc length of the parametric curve associated with: t? 4/2 2 3 r (t) = * t3/2, 4t 0 <t< 1. on...

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Q: Use synthetic division to divide (2x*- 3x³ - 5) + (x +2). State the quotient and the remainder.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818.=

A: Let X equal the decimal number. X=0.904818181818...             (1) With 2 digits in the repeating d...

Q: Part A A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 6.0 m/s. Secr...

A:   Given: A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 6.0 m/s2. S...

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: Learning Task 7: Sketch one possible graph of a function f(x) defined on R that satisfies all the li...

A: Given conditions: limx→-4fx=DNElimx→-2fx=0limx→-1fx=0limx→0fx=2limx→1fx=DNElimx→2fx=-3limx→4fx=5limx...

Q: В. Transform the following equations into its general form. 1. 1)2 212 2.

A: Given that:

Q: Consider the following sequence: (a) Write out the first five terms of the sequences.[Give exact ans...

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Q: -S; (4vw) dw

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Q: lim f(x) if f(x) = x--1 if x 2

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Q: 3. Center: (3, -5) radius: 2

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

A: Given :y=x9+5To find : (f(u),g(x)) , dydx and G'(u).  

Q: 2. A bullet is fired at an angle of elevation of 36°. What is the muzzle speed if the maximum height...

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Q: Find the Laplace transform of (e^2t)(cos3t)t

A: Given: (e2t)(cos3t)t

Q: (1) Plot the graph of y = r³ – 3r – 5 = 0, and find where the curve crosses the T-axis and the y-axi...

A: The given function is: y=x3-3x-5=0