IfY - goes through B (2,8) .What is an equation of the normal to the curve at B? Y = 4x y =7+8 y = 4x + 2 O y=7+7 O O O

Q: 2. Determine the derivative of f(x) = sin-'(2x)

A: Topic = Derivative

Q: 2. The position function of a particle is given by s(t) = (t – 1)²(t – 3) , where t is measured is s...

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 + 4 (a) Find the in...

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Q: SOLVE THE FOLLOWING 14. = In (x² + 1) 15. = In (Inu)

A: As per bartleby guidelines we only give first question answers. 

Q: Iff (x) is a polynomial with real coefficients and zeros of 4 (multiplicity 3), -5 (multiplicity 1),...

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4...

A: [ x-0  y-0  z-0] [4-0  0-0  4-0]      = 0 [-1-0  -1-0  8-0] [x  y  z] [4  0  4]      = 0 [-1  -1  8]...

Q: Q1 Consider the plane curve defined by the parametric equations x = p + t sin(t),y= p² + t cos(t). C...

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Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

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Q: The top and bottom margins of a poster_are 6 cm and the side margins are 4 cm. If the area of the pr...

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Q: Consider the following graph. y 10- 5 X -3 -2 -1 2 3 -5 -10 Identify the parent function represented...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges giver by the vectors u, v and w is...

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Q: 3 The name of a straight line that just touches a curve at point A but does not cross the curve at p...

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: Find an equation of the plane that is normal to the surface Iz + yz? = 2+ yz at the point (2,-1, 1).

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Q: 2x (1 – x²)² Let the function be 1) Convert the provided function into a POWER SERIES +oo Σ 4n-1 n=1...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Σ sin cos(n) п

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Q: y" + 2y' + y = 7 + 75 sin 2x

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Q: 8) Find the critical points then sketch the graph of the function below. Provide the first derivativ...

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Q: 9) A function that is continuous at x = c must be differentiable at x =c. 10) A function that is di...

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Q: e5x cos e5x dx sin²e5x

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Q: A. Solve the following problems. 1.) A rectangular plate 12 ft long and 8 ft wide is submerged verti...

A: Here, note that pressure on the surface of a submerged body can be given by: P=ρgy

Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft/min, and its coarseness is such that ...

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Q: Find the point P such that v = PQ has the components (4, 3, -10.5). Q = (5,9, -8.5) P =

A: To solve the following vector

Q: Determine the surface area of the solid obtained by rotating y = V(2p – x)(2p + x), |x | < 2 about t...

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Q: Find the area of the triangle with vertices P(1,2, –2), Q(0,0,0) and R(2,3, 1). NOTE: Enter the exac...

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Q: Let a. b, and c be three-dimensional vectors. Identify whether the expression a- (b x c) will result...

A: We can solve this as follows:

Q: A boy is selling lemonade throughout the hot summer. Suppose the number of cups sold is given by the...

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Q: Find the derivative of the foll owing functions. Show complete solutrons, including trigonometrie id...

A: As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   And ddxcoshx=sinhxddxtan...

Q: Find the scalar and vector projections of b onto a. a = i + j + k,   b = i - j + k

A: Given vectors, a = i + j + k,   b = i - j + k

Q: Convert the equation to polar form. 3x = 3y Зу 3r(cos 0 – sin 0)

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Q: Given y=5x+2−−−−−√, find the differential dy when x=1 and dx=0.3. Round your answer to three decima...

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Q: Q2 correct answer

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Q: Find the critical point of the function f(x, y) = 24x – 4y² – In(|x + y|). - - c = Use the Second De...

A: see below the answer and explanation

Q: – sin x show that - In |sec x +c ??? %3D COS X

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 5j + k v = 5i – 9j (a) radi...

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Q: Please illustrate the difference between a function being continuous and differentiable by presentin...

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Q: x=r' +1, y=r -t d'y b) Find dx?

A: Given: x=t3+1y=t2-t To Find:  To find d2ydx2.  

Q: Finding the Domain and Range of a Function: f (x) = Vx - 3x + 2 Domain: all x# ±2 Domain: all x# ±3 ...

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Q: For the same function f(x) and same subintervals as question 1, compute the right-hand sum fo f(x) o...

A: Given interval : [ 0 , 4 ]  subinterval with width of 1  ( 0 , 1 ) , ( 1 , 2 ) , ( 2 , 3 ) , ( 3 , 4...

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

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Q: cos400 de J3- sin40

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Q: Complete the following tables of values to investigate. Write your answer in the space provided afte...

A: To evaluate the given limit using the tabular method. Let, f(x)=x2-2x+4

Q: Evaluate the following indefinite integral. 1+ 4t° -dt 11t

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Q: Evaluate the iterated integral by converting to polar coordinates. –x² (x² + y?j3/2 dy dx dr de =

A:  Solution is given below...

Q: Q1.Find the general solution of following PDE equation (a) (5z+ R)uz + (7x+ R)u, R (b) (z + R)u, + (...

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Q: For y = f(x) = 3x- 1, x= 2, and Ax=4 find a) Ay for the given x and Ax values, b) dy =f '(x)dx, c) d...

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Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +...

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Q: 5 ft. x ft. 11° 8° the image to answer the question. Two ramps are placed back to back as shown. Wha...

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Q: 6. The coefficient of Sin(x) in the antiderivative of F(x) =|cos is Blank 1 (use fraction form not d...

A: This question is related to Integration, we will solve it using given information. 

Q: Determine the value of C in on the antiderivative of F(X)= Sin°(x)cos°(x) for x = 0.882 and y = 0.3....

A: Given: F(x) = sin3xcos5x We know that  We have to find ∫sin3xcos5xdx Let , I=∫sin3xcos5xdx

Q: Find length of curve y= 2/3 (1+x^2)^3/2,  0<= x<=1

A: Let's find.