Q: Evaluate the integral. NOTE: Enter the exact answer. cos(2x) da = + C %3D

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Q: 1g graph, clearly showinng any pointS where the graph crosses the nate axes: + 7x + 10r

A: We will draw the graph. 

Q: Suppose f(x) - 6'Vi+ť' dt. 1) Evaluate / (2).

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Q: Write the given series: 2+4+6+8+10 in sigma notation.

A: Given problem:- Write the given series: 2+4+6+8+10 in sigma notation.

Q: Use the binomial series to find the Maclaurin series for the function. f(x) (1 + x) %3D 3 00 f(x) = ...

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Q: Write the first five terms of the sequence: ( +o0 S11 In n n=1 Determine whether the sequence conver...

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Q: Consider -dx. Using u-substitution and transformation of integrand, then the power formula applies; ...

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Q: / 5x? tun(3x) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find f Given: 5/2 A 18 B none ...

A: This question can be solved using the concept of substitution as used in integration.

Q: 6. Consider function f(x, y) = x + y – 4ry + 1. Compute all the critical points of the function, and...

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Q: dx S (x² – 6x + 13)² 4.

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Q: 00 For which values of p does E converge? (n° +7)" n=1 (Use symbolic notation and fractions where ne...

A: Given problem:-

Q: Determine the function represented by the graph -2m 7m 8m

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Q: 8-2х (f) lim- нх* — х—12

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Q: Success Confirmation of Question Submission | termine the requested sin, cos, or tan of angle A. bar...

A: option (b) is correct see below the  calculation

Q: 3/2 X2 dx

A: 1.∫x32tan-1(x) dxlet x=tdiff o.b.s12xdx=dt dx=2t dt∫t3tan-1(t) 2t dt=2∫tan-1(t) t4 dtwe know that ∫u...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We need to find the Taylor Series of e5x with center c=0.

Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 sine -3/5 4/5 3/5 -4/5

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Q: 22 Use a triple integral to find the volume of the given solid. The solid enclosed by the evlinder x...

A: According to question,Given Cylinder and planes,x2 + z2 = 4y = -1y+z = 4

Q: (*y3 - ) + y² = 0 1 1+9r

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Q: Given the graph below, determine if the function H(x) is continuous at the following values of : 1. ...

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Q: x - 5, x21 (b) A function ƒ is defined by f(x)=. 1 x<1 Show that f is differentiable at x = 1. Hence...

A: We have to show our function is differentiable or not at x=1

Q: 1 Use the Cauchy's integral test to show that Σ diverges n. In n. In In n n=2

A: Cauchy -Integral  Test series ∑n=1∞ an      converges if integral ∫1∞ f(x) dx finite and  diverge if...

Q: 2. Divide the class into groups of 10. Measure the height of each member. Find the sampling distribu...

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Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that ,f'(x)=limh→0f(x+h)-f(x)hTherefore,f'(x)...

Q: Determine the equation (both standard and general) of the following conic sections based on the cond...

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Q: 3. a) Find the percentage error in computing u = Vx at x = 2.45, when x is 4 %3D b) | If Ax = 0.005,...

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Q: Use Gauss' Divergent Theorem to calculate F. dS, where F = (2x + sen (e+1)) i+ 3yj+ cos(z?)k and S i...

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Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In l(2x...

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Q: 30 3 120 x f(x) = 2x-3 X + 1 n = 4 3 Pa(x) = 3 1+ x -x+x -3+ 5z- 522 +5-54 | Solution or Explanation...

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Q: 4 x4 differentiable at x = 4. Is f continuous at x = 4?

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Q: Determine whether the given series converges or diverge E3n°4-n n=1

A: solution:-∑n=1∞3n34-n an=3n34-n an+1=3n+134-n+1 Ratio testL=limn→∞an+1an=limn→∞3n+134-n+1 3n34-n =li...

Q: Use the Intermediate Value Theorem to show that 2x – 3 - if – 3 0 has a zero on the interval [-2, l...

A: First compute the function if they are continuous then apply the intermediate value theorem.

Q: 9 10 handwritten

A: We have to find the derivative of the given function using the rule of derivative  

Q: Using Figure 4, complete these functions. P(-20, 21) Figure 4 sine = -21/29 20/29 21/29 -20/29

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Q: Use the following results, if needed, to determine whether each series converges or diverges. If the...

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Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3)

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Q: y' + y = 5 sin(2x)

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Q: 3) For f(x)= cos(20x), use Taylor polynomials to estimate f(1/40) to within 1/100. Do not forget to ...

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Q: Consider the integral 3e 2 dx . Using u-substitution, what is the appropriate u and du? 2e -2r A u =...

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Q: х — 2 1. f(x) (2? — х + 1)2

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Q: rot F - dS, where F = (y+1)i – (x² + y² + z)k and S It is given by Use Stokes' Theorem to calculate ...

A: This is a problem of vector calculus. Based on the stokes formula for vector calculus we will evalua...

Q: A consumer has utility function xy u(x, y) = x+y

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Q: Using Figure 4, complete these functions. Express the answer as a fraction. P(-20, 21) n. Figure 4 t...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = (1 + x) F(x) = Fx) = (...

A: According to question,Given Function,fx = 11+x4

Q: x' - 36 lim 6 x+6 Vx+11-4 lim x-5 lim- 2 2-x x² +6x+9

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z) = In (2z2 – x² – 3y³ – 4) ...

A: we want to find the domain of given  function 

Q: Use the difference an+1 - an to show that the sequence {n – 10"}" n=1 is strictly increasing or stri...

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Q: Consider the linear programming problem: Мaximize P-х +1.2y Subject to 2x + y < 180 (constraint 1) x...

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Q: Using Figure 4, complete these functions. P(-20, 21) a Figure 4 cose = -20/29 21/29 -21/29 20/29

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Q: Find the volume of the solid that lies under the plane 2x−4y+5z=18 and above the rectangle R={(x,y) ...

A: Given, Plane is 2x-4y+5z =18 And 1≤x≤3  2≤y≤4