Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate sin(e+ x ) O 56/65 O 33/65 O 63/65

Q: I. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. у%3 1/...

A: This is a graph problem

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

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Q: 3. Let v(x, y) = (2x + y, x + 2y – 2). - a. Show that u is conservative by finding its scalar functi...

A: Follow step 2nd   According to guidelines we solve only first three parts. Thank you. 

Q: Vx 3+4x+8 dx 2 vã (Vx?)

A: Given that ∫x34+4x+8xx2 3dxSolution:let ,x=u6dx=6u5du∫u6×34+2u6×12+8u6×12 u6×236u5du∫u92+2u3+8u3 u46...

Q: 3 x³ – 64x e. lim 5 .2 е. X + 2x

A: Topic:- limits

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 f(x) = E Σ ...

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Q: Simplify cosx + sinxtanx. 1 + sin²x cscx secx

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Q: sin 4zdz J 16+ sin ª 2= 4.

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Q: Question (see above) EXAMPLE ONLY: 3. x? + 5x – 5 on [-6, 2] Proving that the function f(x) = x? + 5...

A: Solution is given below:

Q: sin e, sine cose cose 1 tan 2 0 O2 cot 0 2 tan 0

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Q: 2x5y ' = y(3x4+y2)

A: For the solution follow the next step.

Q: ((2x-y²)´ (x,y) # (0,0) Let f(x, y) = x2+y4 2, (x, y) = (0,0) Is f continuous at (0,0)? Do fr(0,0) a...

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Q: Question VIn(2r +5x-1). Find the derivative of f(x) %3D Provide your answer below:

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Q: A company's demand function of a product is given by : 10) p- 150 - 0.002 x ,where p is the price pe...

A: The revenue function, R(x) = x P(x), where P(x) is the demand function. R'(x)  is the rate of change...

Q: 5. 3x2+x-1 SC x+2 3x2 3x2 + 5x + 9 In Ix+ 21+ C 2. -5x +9 In Ix+ 21+C 2. 3x2 D 3x2 9. 6. + 5x + +C 5...

A: Given: I=∫3x2+x-1x+2 We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn...

Q: A function f has a removable discontinuity at x = c if limf(x) exists by f is not continuous at x = ...

A: Here, the given function is: f(x)=x-2|x|-2 So, function is not defined at x=2,-2

Q: Sz dx; 2x2-3x+2

A: ∫12x2-3x+2dxComplete the square:∫12x-323/22+78dxSubstitute u=4x-37→dudx=47→dx=74du

Q: A normal line to a curve passes through a point P on the curve perpendicular to the line tangent to ...

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Q: 1 1 V13+x 3 h. lim X→0 X + 4

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Q: ASAP PLZ Find the moment of inertia with respect to x-axis of the region in the first quadrant, whi...

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Q: 3. [7 the graph of y = x3, on the interval [0, 1], is revolved about the Find the surface area of th...

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Q: A. Determine the indicated derivative for each of the following functions. x3 cos y 1. Find fxzy for...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: Evaluate the Integral dx 7. S xVx+6x ANSWER: 1 7. ÷ In 3 + C x+6

A: Given: I=∫dxxx+6x   ...1   We know that; ∫1ax+bdx=1alnax+b+C

Q: 2. Find the slope of the tangent line to f(x)=V4-V+5 at the point where x 4.

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Q: 7. Evaluate the integral r8-2x (x + y + 1)-2 dydr.

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Q: Given a function g(x, y) defined implicitly by the equation z*y* + sin (x² – y²) = tan-'(xz). (1) dz...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: Given

Q: Calculate the integral approximations Ts and Ms for L'(In x)-2 dx. Your answers must be accurate to ...

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Q: 2x+1 7. S; (x+1)(x²+2) dx

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Q: 10) [ 5x (2 + 3x²)® dx

A: ∫5x2+3x28 dx Using Substitution u  =2+3x2du=6x dx⇒x dx=du6 ∫5x2+3x28 dx=∫5du6u8                     ...

Q: 3x2 + 5x + 11 Evaluate / dr. (x+ 1)(x² + 2x + 10)

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Q: Which equation below represents a secant graph with a yertical shift of 3? ay--sec(3(x)) c. y=3 sec(...

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Q: The position of the particle at time t is given by s(t) = t- 18t + 80. The particle is moving from r...

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Q: In cos (x - c1) + c2 y = In cos x +cj + c2

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Q: Let U be the universal set such that any set is a subset of U. Let A and B be sets. Usc element argu...

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Q: die

A: Given that ∫x22x+1x+22dxSolution:x22x+1x+22=Ax+2+Bx+22+C2x+1x22x+1x+22=Ax+22x+1+B2x+1+Cx+22x+222x+1x...

Q: 1- 13 – z lim Z→2 Z- 2

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Q: 4. S (sint + cost t ) dt A - cos t + sin t + C C - cos t- sin t + C B cos t+ sin t + C D cos t- sin ...

A: 4. In this question, we need to find the integral.

Q: Sulve the dffeanlial equalion ly). clox Ylx)=16

A: Given:     dydx+y=16

Q: A composite figure is a cylinder with a hemispherical hole in the top. The bottom of the hemisphere ...

A: Given: - A composite figure is a cylinder with a hemispherical hole in the top. The bottom of the he...

Q: S( 7x3 – 5 vx +. 18 V +x-40 ) dx x3 10 2x³/2 + 12x³/2 - -394 C с 7 10 x³/2 + 12x¬³/2.1 x-39, C 39 39...

A: Given∫7x3-5x+18xx3+x-40dx=∫7x3dx-∫5xdx+∫18xx3dx+∫x-40dx∫7x3-5x+18xx3+x-40dx=7∫x3dx-5∫xdx+18∫x-52dx+∫...

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A: topic - functions and derivatives

Q: Determine whether a given function is homogenous or not homogenous: 1. f(x,y) = sin x 2. f(x,y) = x...

A: Since there is a mistake in third question i do first two question as per our company guidelines ple...

Q: Evaluate the integral 7/4 cos(2x + y) dxdy. T/4

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple...

Q: Evaluate the Integral dx – (**V2Tan-1x-(Tan-1x)2 1-х4 '2Tan-1x-(Тап-1x)2 3. S х?/2Tап-1x- (Тап-1x)2 ...

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Q: A spherical balloon is being inflated. Find the rate (in ft?/ft) of increase of the surface area (S ...

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Q: In each part, evaluate the expression given thatf(5) = 9, g(5) = -1,f' (5) = 18, and g' (5) = -9. %3...

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A: Given:  A rocket is fired vertically upward from the ground. The distance s in feet that the rocket ...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (- 1)k+1 k9/8 ...

A: The given series is  ∑k=1∞ (-1)k+1k9/8

Q: A ball is thrown downward with a speed of 17 ft/s from the top of a 289-foot-tall building. After t ...

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