Differentiate y = e^(10 (x) + x^5) the x in () is meant to be the square root of x the question should read e raised to (10 square root x plus x raised to the fith power)

Q: Find the area bounded by these curves. (All choices are in sq. units) y1 =+4 Y2 = r-2x

A: This question is related to application of definite integration, we will solve it using given…

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Q: Consider the following. u = -6i - 4j - 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Projection

Q: Use Green's Theorem to evaluate 5x*dx +xydy where C is the triangle with vertices (0,0), (1,0),…

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Q: y=6-2x-x^2; y=x+6 The volume of the solid generated by revolving about x-axis is ___________ to the…

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Q: 1 Sava (x³/3=1)/x dx (Hint : let x = u°)

A: Solution of question is written in below steps.

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Q: 11. To each linear factor occurring once in the denominator of a proper fraction, Adx there…

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Q: Evaluate the limit below. 28 – 4x + 7x2 lim -9x² – 4 - 4

A: LetL=limx→∞ 28-4x+7x2-9x2-4Divide N and D by x2L=limx→∞ 28x2-4xx2+7x2x2-9x2x2-4x2L=limx→∞…

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A: As we know that; The Power rule; ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C…

Q: Evaluate the indefinite integral.

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Q: 0. 21XVX2 + 1 dx = 142 7, what is | 21uVu? + 1 du? Given that %3D 1

A: here just we put x =u so deside the function is odd or even so lets put u = -u 21(-u)(-u)2+1…

Q: 3. y" +3y" + 3y' ty :e-x - ylo) =o yto y" lo) y" la)= 2

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Q: solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

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Q: 3. y = Arccos ( logx);y' = * O -1/x In(10)*sqrt ( 1 - (logx)^2) O 1/ x In(10)*sqrt (1 - (logx)^2) O…

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Q: Consider the following planes. 3x + 4y - z = 28 x - 8y + 2z = 0 (a) Find the angle between the two…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the…

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Q: Determine whether the lines are parallel or identical. x - 3 y + 8 z + 7 5 y – 1 _ z + 22 4 -3 x + 9…

A: The given two lines are                 x-34=y+8-3=z+75 and        x+9-8=y-16=z+22-10 We first find…

Q: Evaluate* e/x dx. x3 1 1 еx 1 ex 1 еx + с + ex + c - Option 3 Option 2 1 ex 1 еx 1 еx + с + ex + с -…

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Q: Find the arc length in the second quadrant of the curve x23 +y2/3 = 25 from x = - 125 to x = – 8.…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: Solution is given below

Q: Question Is S (÷x² + 5x + C ) dx = Зх + 5 сorrect? CLAIM EVIDENCE REASONING

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Q: Find the Maclaunin polynomial of degree 3 for the fuction. - ge

A: The given function is:fx=e-9xTo find the Maclaurin polynomial.

Q: Question 5 Determine the magnitude of the com

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Q: Suppose f( – 1) =7, f'(– 1) = 4 , and g(x) = r°f(x). The tangent line to g(r) at z = 1 is given by Y…

A: Given: gx=x3fx, f-1=7, f'-1=4   The expression for the equation of the tangent line is: y-y0=mx-x0…

Q: dy +y= y2 sin x

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Q: Verify that the two planes are parallel. -x + 6y + 3z = 7 x+ 2y + z = 8 Find the normal vector, n,,…

A: Normal vector of a plane Ax+By+Cz+D=0 is defined as A, B, C

Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: Verify that the two planes are parallel. -x + 6y + 22 = B -글x+ 3y + z =9 Find the normal vector, n,…

A: I have appended the formula used in the solution part.

Q: Use the chain rule to find dy/dx for th following (a) y= (3x^2 - 13)^3

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Q: ar +b. 2r' - 1, f(z) = I>3

A: The given function,fx=ax+b,x≤32x-1,x>3

Q: 17 + sin w sin(1+ cos w)) dw 7-2w

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Q: Consider the following. u = 5i + 4j, v = 31 + 2j (a) Find the projection of u onto v. 33 3i + 2j 13…

A: u = 5i +4j v= 3i+2j   a projection of u onto v  = (u*v)v/|v|2 u*v = 15 +8 =23 |v|2 = (32+22)2 = 13…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find dx (1 – x²)³/2 + c Vx2 – 1 V1 – x2 Option 3 Option 2 Vx2 – 1 + c V1- x² - Option 4 Option 1

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Q: Please complete the question. How do I check the answer.

A: Apologies for the inconvenience.   We can check the answer by multiplying the matrices. We will…

Q: 4 sec*(x) rind tha ualı Find the value of ((x* - 5x² – 6x)“ 4x³ - 10x – 6 dx. (x4–5x²–6x)* - a) 4…

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Q: f(x, y) = R is the rectangle bounded by +1 -5<x<5 and 0<y<1.

A: Given function fx,y=1ex2+1Region R is bounded by -5≤x≤5 and 0≤y≤1.Surface area of over region R is…

Q: 4. If E-1X = 60 and E-1 x = 90, find each of the following: E(x - 7) a. b. Σ-7 E(xi + 2) C.

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: 9) Determine the Convergence fue series dirergonce of It Anyuners a) conneryes 5) diverges 9 Theorem…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (5,…

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Q: x = -4 + t, y = 2t, z = 7 + t (a) (0, 8, 11) O Yes O No (b) (4, 5, 9) O Yes O No (c) (-6, -4, 5) O…

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Q: 1 (5* )csch dy if Find dx 1. (а) y x>0. (ecosh 5x ) In Vx +1 d Show that for x 2 1, coshx- dx (cosh²…

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Q: Given the plane i = (-2, 1,5) + s(3, -2,0) + t(1, 1, 5), s,t € R. The plane cuts the x, y and z-axes…

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Q: What is the length of a simple pendulum whose full swing from left to right and then back again…

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Q: Determine the magnitude of the complex number, X. x-(8e(4ery

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Q: Differentiate the following using logarithmic differentiation. 1. у%3D (x+6)(x+8)8 (r+3)3(r+5)s

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