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Q: Question Is S (;x² + 5x + C)dx = 3x + 5 correct? %3D CLAIM EVIDENCE REASONING

A: ∫  3x2/2 +5x +cdx now integrate it 3x3/6 + 5x2/2 +cx +c x3/2 + 5x2/2 +cx +c this is the answer  so…

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

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Q: TEST 1. DETERMINE WHETHER EACH OF THE FOLLOWING FUNCTI a. CONTINUOUS b. DIFFERENTIABLE 1. f(x) = 5x-…

A: To determine whether the given functions are continuous and differentiable or not.

Q: The value of the double integral // (2x²y + 9y') d A, D where D is the region bounded by x and y = 2…

A: Given problem:-

Q: Use mathematical induction to prove the given statement for all positive integers n. 20+10+0+..…

A: We have to prove given statement with mathematical induction.

Q: Given the graph of f'(x) below. (a) Find the intervals on which f(x) is concave up/concave down (b)…

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Q: Find dx (9x² + 16 1 1 - In |3x + V16 + 9x²| + c -In |3x – V16 + 9x²| + c Option 2 Option 3 1 1 In…

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Q: A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

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Q: 5. The rate at which the total monthly profit is changing is given by P'(t) where t is number of…

A: The solution is given below.

Q: one-sided limit (if it exists). 72. lim

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

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Q: Find the limit. (If you need to use o or -oo, enter INFINITY or -INFINITY, respectively. Round your…

A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: Find the equation of the tangent line at the given point on the curve. 3y - Vx = 23, (16,3) y =

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Q: Find the tangent plane to the equation z = - 2a2 – 3y? + 5y at the point (– 4, 4, – 60) | Z = 16x…

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Q: Find a complex number z such that |sinz|>1

A: We have to find a complex number z such that |sin z|>1.

Q: Solve the following differential equations using the method of undetermined coefficients. y" – 2y" +…

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Q: Simplify (x) and find any vertical asymptotes. x²_ 4 f (x)= x+ 2

A: Vertical asymptote of the rational function f(x)=p(x)q(x)is given  q(x)=0

Q: Choose the correct answer. 1. The sequence (x) = (-n) is. a) Cauchy b) bounded e) divergent d)…

A: We have1) The sequence (xn)=(-n) is . . . . . . . . .Now we have take n=1 x1=-1put n=2x2=(-2) So, we…

Q: Find the center (h, k) and the radius r of the circle 4x2 + x + 4y? + y – 10 = 0.

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Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find all…

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Q: Finding a Limit Graphically In Exercises 5 and 6, use the graph to find the limit (if it exists). If…

A: f(t)=ln(t+2)t At some point t=a we say that limit exists if both  right and left side limits exist…

Q: Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. NOTE:…

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Q: Question Find the absolute maximum and absolute minimum of the function f(x) = over the interval[-4,…

A: Use critical point to evaluate the absolute maxima and minima .

Q: Part 3. Provide solution in finding the derivatives of the given function 1. y= 4x5-2x + 3x- 10 2. y…

A: Let's find.

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: 1. Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (2, 15, -4) Vw(2, 15, -4) =…

A: Use gradient formula and partial derivative formula for finding the gradient.

Q: 7. The function f (x,y,z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

A: 7. The function f(x, y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

Q: Show that for x 2 1, cosh (cosh° 3x – sinh° 3x) = In(x+Vx² -1). (b)

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Q: x-2ax+a If lim exists, then a = 1-x a -1 b 1

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Q: Exercise To Try 5 Find the area under the curve y = 2x +1 and above the x-a interval (0, 3]

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Q: Find the indefinite integral. 5. 3 dt 12 +C

A: Formula: ∫(1/x) dx =lnx ∫xndx = xn+1/n+1

Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: lim e 0 t/ Select one True False

A: limx→0+e1xusing chain rulelet f(x) =1xg(u) =eulimx→0+ f(x) = limx→0+ 1x =∞

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: ee) Using the Laplace transforms to solve the following equations: y" + 3y' + 2y = e', y (0) = 0, y'…

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Q: State the answer using combinations. c) The number of edges in the complete graph K21. d) How many 7…

A: We will answer only part c, d and e because you have mentioned to solve only these three.   Complete…

Q: 6. Find the area under the curve f(x) = 4x + 2 over the int erval [1,5]

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Q: M3.2 Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

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Q: |. IF A FORCE OF 80 lb STRETCHES A 12t SHRink Ift. FIND THE woRk DONE IN STRETCHING IT a) PRom Izto…

A: work done = force*displacement here  a from 12ft to 15 ft  3 ft displacement  work done = 80*3 = 240…

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: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: Use the Midpoint approximation method to approximate the area under the graph of the function f(x) =…

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Q: Write the form of the partial fraction decomposition of the rational expression. бх — 1 († – x)x A В…

A: (6x-1)/x(x-4) it is very simple because in numerator there us multiplication given so A/x + B/(x-4)…

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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Q: Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

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Q: 5 dx J 125x2-9 5. 4t.a-2t

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Q: dx 2. e2x+1

A: ∫dxe2x+1let ex=tan ydifferentiate O.B.Sexdx =sec2y dy∫1tan2y+1×(sec2y dytany)