Find the slope of the tangent line to the curve

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A: Given that: f(x)=3sinx

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Q: Suppose we have the parametric curve associated with 1 2t, 1 r (t) = t > 0. -- t2' 3t3 Evaluate k, t...

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Q: If $2,000 is invested at 7% compounded monthly, the interest accrued in 8 years is $1,495.65. True ...

A: Topic = Algebra TRUE

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: Use a calculator to solve the following equation for 0 on the interval (0, n). cot (0) Find all the ...

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Q: Find the 11th term of the geometric sequence with az = -125/2 and a10 = -9765625/256 a11 =

A: Given that: Terms of the geometric sequence are:      a3=-1252 and a10=-9765625256

Q: 29-40. Comparing growth rates Use limit methods to determine which of the two given functions grows ...

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Q: 2. Given f(x) = 3x – 2 and g(x) =+, find each of the following: (a) (f o g) (z) (b) (go f) (x)

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Q: y(2x³ -x²y + y³)dx - x(2x3 + y3 )dy = 0

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Q: - y=-2x + 2 6. у%3D-2х -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: is an angle in standard position with T(-20, -21) on its terminal ray. Find sece O -29/21 -29/20 29/...

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

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and S = {x|x >4 and x E even integers}. Find s' O s' = {Ø} O...

A: If S is a set, then complement of set S will contain all the elements in the given universal set (U)...

Q: 84. A man is on a wharf 4 m above the water surface. He pulls in a rope to which is attached a coat ...

A: Given that: Height of wharf above water surface, h=4mRate of pulling=2m/sec

Q: Sketch the region that corresponds to the given inequalities. 4x + Зу s 4 4x - 3y 2 4 -y 2 2 y y 10 ...

A: Given problem :- Sketch the region that corresponds to the given inequalities. 4x + 3y≤ 4 4x - 3y ≥4...

Q: 13. J(L, Y) y", 1(-1, 1) = 8 – 2x2 – y². For the following level curves f(x, y) = C and 50-51. Level...

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Q: Find the slope of the function's graph at the given point. 8 Function: 9(z) %3D Point of g is at (2,...

A: Slope of the tangent is obtained by dy/dx

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

A: Calculus   -  area between two curves .

Q: Evaluate the following limits: z² + 4x – 12 3. lim 1² – 2x 191 S y² +5 _ify-2 4. lim g (y) where, g(...

A: 3. limx→2x2+4x-12x2-2x4.  limy→-2g(y), where g(y)=y2+5if y<-23-3yif y≥-25.  limx→4z-2z-4

Q: 6. Evaluate the following integral: [sin 8x cos 5x dx

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Q: Match the following items. On the unit circle with its center at (0, 0), an arc with central point P...

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Q: 3.fCx)3D63X²4X+2 x<1 2x-1 X71 Part A: IS f(X) lontinuous ar X-1? JustfY answer. Palt B)EXPainunyfeX)...

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Q: A. Evaluate each of the following definite integrals. 2 Sí (8x3 + 3x2) dx 1. 2. (1+ 2x – 4x²) dx 3 3...

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Q: Radioactive substances decay exponentially: The mass at time t is m(t) = m(0)ekt, where m(0) is the ...

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Q: Evaluate the following limits: z² + 4z – 12 z² – 2x 3. lim

A: 3) To evaluate the limit: limx→2x2+4x-12x2-2x

Q: PROPORTIONAL VS. NON-PROPORTIONAL TABLES DIRECTIONS - Place the following tables In the most appropr...

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Q: 2. f(x)=-cos(x+135°)+2 Amplitude.

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Q: 9. y'+ 2x y = x e*2 subject to IC: y(0) = - 1 10. (x + 1) y' + y = In x subject to IC: y(1) = 0

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Q: CL Activity # 4 # 19 III. Find the derivative of the following using implicit differentiation. 19. e...

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Q: .3 Cos x + cos x dx Vsin a 3,

A: Given that∫cos3x+cosxsinx3dxsolution:∫cos3x+cosxsinx3dx∫cosxcos2x+1sinx3dx∫cosx1-sin2x+1sinx3dx∫cosx...

Q: Perform the indicated operation and write the result in standard form. (2(cos 45° + i sin 45°))

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Q: h (x)= 3

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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: 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 the difference a+1 – an to show that the given sequence {an} is strictly increasing or strictly ...

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Q: B. Determine the standard form of equation of the hyperbola whose general form is given. 4. 4x — 3у ...

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Q: Find the curvature κ of r(t) = at t = 0. Simplify your answer

A: use curvature formula for vector valued function.

Q: Express the repeating decimal as a fraction. 5.919191...

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Q: Factor the difference an+1 – a, to show that the given sequence {an} is strictly increasing or stric...

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Q: 3.) y tanʼxdx +ln* ydy = 0 dy_ (y?+4) Inx In (y?+4)Y 5) dx

A: y tan2x  dx + ln4y dy = 0∫-tan2x  dx =∫ ln4yy dy∫(1 - sec2x) dx  = ∫ t4 dt   (where, t = ln y)Hence,...

Q: dx 7. (3 – 5x)*

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Q: Consider the following sequence: {an} = {n – n² }, +00 Use an+1 – an to show that the given sequence...

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Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what ...

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Q: Find the infinite sum (if it exists): () -1· i=0 If the sum does not exists, type DNE in the answer ...

A: Given the series is ∑i=0∞ -1·32i

Q: * 00 Your answer is partially correct. Whooping cough was thought to have been almost wiped out by v...

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Q: 12x + 13x2 lim 13x3 - 7

A: limx→∞12x3+13x213x3-7=limx→∞x3(12+13x2x3)x3(13-7x3)=limx→∞(12+13x)(13-7x3)=(12+0)(13-0)=1213