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Q: 4-x dx. Evaluate f: T16-x 16-х2

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Q: 2. A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except…

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Q: 1. Evaluate the following limits. 2 - V2x + 10 a. lim 1-3 x2 + x – 6 4x – 7 1 lim с. -1- (3r2 – 2r…

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Q: Sx. Svau Using Integration By Parts, x Arcsec 3x dx = u v- Find UV- du O 1 x2 Arcsec 3x 2 dx V9x2 -…

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Q: x2 dx is F(b) – F(a). where F(a) and F(b) are real numbers. What is the value of F(a)? The result of…

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Q: Solve the following problems. 1. Name and sketch the graph of y² = z in R³. II.

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Q: ay Do not simplify your answers. de 3. Solve for sec(3r2 + In 2) eVI+2 +9 - log(2³ + y) C. r Cos y =…

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Q: 3(x + 2)\/1 (x+2)² Which of the following is *+2) + arcsin 9 +C equal to? arcsin (z + 2) + (x + 2)v5…

A: Given that,     92arcsinx+22+3x+21-x+2292+C

Q: I. Evaluate /4x2 + 4x + 5 dx

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Q: Use power series to estimate arctan .2 correct within -10-. Leave your answer as a simple fraction…

A: The power series for arctanx is x-x33+x55-x77+..... For a estimate within 12·10-5, we'll have to…

Q: Let f(1) = r". Use logarithmic differentiation to determine the derivative. f'(z) = f'(1) =

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Q: Using Trigonometric Substitution  ∫ dx/ (x^2+x+1)^(3/2) find f theta

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x°e=x (a) Find the…

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Q: The limit of a function is the value it approaches as the value of x approaches a certain value. a.…

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Q: Find the area of the region bounded by the x and y axes. The line x = 2. Show your complete solution…

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Q: ) Let R={(x.y): 0sx,Osy, +ys4) be enclosed region. The result of the following double integral (by…

A: Given region R=( x,y) : 0≤x, 0≤y , x2+y2≤4

Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

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Q: 2 - メ

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Q: Evaluate the following indefinite integral. da I In(x) Note: Don't forget your C! And be sure to use…

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Q: Find the area: Y = cos x and y sin x on 0, 27

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: x arcsec x dx ? xdx A. x Arcsec x - 25- ... B. ** Arcsec x -- V-1 xdx xdx C. x Arcsec x + 25- xdx D.…

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Q: g(t) = 2t3 + 3t² – 12t %3D Find the intervals where g(t) is increasing and the intervals where g(t)…

A: Given: gt=2t3+3t2-12t   (a). To calculate the interval for increasing function, g't>0

Q: The curves described by the following polar equations intersect at which value of the angle theta?…

A: We will put these polar equations equal and solve for the angle.

Q: usider (x. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: 9х2— 6 To evaluate dx using the method of partial fractions, the given integral can be rewritten as…

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Q: Evaluate the definite integral 3e-0.05r dr by the following steps: (a) Determine the indefinite…

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Q: 4) For each graph in Figure 16, determine whether f' (1) is larger or smaller than the slope of the…

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Q: 耳 ixn=wyr Show that d P

A: Given a function is two variables.

Q: 1. Given: S(x) = {10ze", | 2r³ + 3x² – 12x, r>0' I < 0 a. Find all the critical numbers of f. b.…

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Q: The velocity of an object is given by the following function defined on a specified interval.…

A: Given  v = 1(2t+2)m/s   for 0≤t≤8 ; n =4 Displacement = ∫081(2t+2)dx Number of subinterval = 4  h =…

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: We need to find surface integral.

Q: cos x Given: tan x dx. Using trigonometric transformation , the integral in terms of u is sin x Cos4…

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Q: 3r + cos z Use Squeeze Theorem to evaluate lim VI+x² – 5x°

A: Given problem:-

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Let θ denote the angle between thw ladder and the ground

Q: 5xy = 4x²z – 3yz²; xz and xy.

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Q: 3. CHOOSE ONE. Assume that r0. 5x (a) Transform the Cartesian equation = 5x – 5xy into a polar…

A: A)5x2x2+2y2=5x-5xy12x2+2y2=1-yx=r cosθ, y=r sinθx2+y2=r212r2=1-1(rsinθ)r sinθ=1-12r22r2-1=2r3…

Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

A: vector

Q: Evaluate | 4x2 + 4x + 5 dx

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Q: (Ca' - x*

A: we know that,           integration of xn dx = xn+1n+1.  and x-y2= x2+y2-2xy

Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: 00 Given: (1 + 2x)e*dx̟ Using integration by parts and letting dv 00 is %3D u = -1 - 2x, then the…

A: Let's find.

Q: 1/2 x2 The result of dx is F(b) – F(a); where F(a) and F(b) are real numbers. What is the value of F…

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Q: (x²+y²)*/2 (x²–y2)2

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Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

Q: dy 4у dx х (у-3)

A: Given query is to find the soly of the differential equation.

Q: x³ + 6x2 + x+2 2 Tan Ve fx-1 ax + In{(x+ 1)*(x² – x + 1)"| + The resulting integral of -X+ -1 + C,…

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Q: If R is the region enclosed by x-axis, y = -3x and x = -2, then evaluate the following double…

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the y y = 5 x-x…

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Q: Evaluate the surface integral. (x + y + z) ds, S is the parallelogram with parametric equations x =…

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