T- sinx) ²(1+ sinx Evaluate: sin'x cosx dx sin 10x -+C 10 A sin 10x +C 10 sin x B 8 sinx+C

Q: Find the absolute maximum and minimum of the function f(x,y) = 7y + 64x - 3 over the closed region…

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Q: over the interval [2,00). 2x2 Find the area, if it is finite, of the region under the graph of y =…

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Q: Employ trapezoidal rule to approximate value of the integral f(x) dx using the table given below. x…

A: This question can be solved using the concept of trapezoidal rule for n=4. Here we have taken…

Q: Evaluate the following integrals: 3 tan°x dx 1.

A: We have to evaluate the integral ∫tan3x dx.

Q: dx

A: We will use substitute method to solve this integrate

Q: 2x2+3x+1, if x<2 f(x)= 3x2 -2x-5, if x 22 Find the value of f(1)+f(2). O a. 8 O b. 7 O c. None O d.…

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Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x +x - 4, k= - 1

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Q: 13 Convert x 2 + y 2 - 2x = 0 to a polar equation. r = 2cosθ r² = 2cosθ r = 2sinθ

A: We have to find the polar equation

Q: y = x° – 6x, y = x² у — х b. Find the area of the region enclosed by the two equations. Only include…

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Q: Find the radius of convergence and interval of convergenc of the power series. 17. E (-1)"4" x" yn…

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Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v. Simplify your answers completely. u =…

A: Finding the given operations.

Q: #12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

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Q: Find an equation of the inverse relation. x=y² - - 7y Choose the correct equation below. O B. y=x -7…

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Q: 4cscθ

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Q: The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is…

A: Here we will find asked quantities,

Q: Evaluate

A: As per the guidelines we can solve 3 parts only only. Please repost the same for more answers.

Q: (sint – cos t)? =1- sin (2t)

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Q: x In y dy dx -1J

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Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

A: We are asked to find the Taylor series centered at 1

Q: x +6x, xa everywhere.

A: A function g(x) is continuous at x=a if and only if limx→a- g(x) = limx→a+ g(x) =g(a) .

Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

A: Given problem:-

Q: 4+4 n i) The sequence { ") is bounded by 3 n ii) The 11 th. element of this sequence is

A: We will the upper and lower bound of the sequence and the 11th element of the given sequence as…

Q: I need to find the rieman sum not the area

A: Left Riemann sum is same as the area of the rectangles with the left endpoints on the curve.  From…

Q: Find the measure of the angle z. Round to the nearest tenth of a degree. 21 12 8.

A: Given:     Triangle is given

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: Simplify arcsin(sin 6 7). 6 7I

A: We have to find the angle

Q: Graph f(x) = e +2. Choose the correct graph. OA. Ay 4- OB. Ay OD. Ay Oc. Ay o 包

A: We need to choose correct graph.

Q: Sketch the graph of a function that has an absolute maximum, a local minimum, but no absolute…

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Q: y= (x-p)(x-r) and p+r=2. Find the x coordinate of the vertex of the parabola. O a. -1 O b. None O c.…

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Q: 39) (a) Let Ax) = cos(3x – 2). Find f" (x). (153) (b) Let g(x) = 2***. Find g (x).

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: The given function,  g(t)=3t5-20t4+30t3+80

Q: A Ferris wheel is 15 meters in diameter and boarded from a platform that is 5 meters above the…

A: We will find how many minutes of the ride are spent higher than 18 meters above the ground as…

Q: 2. Draw Venn diagram and shade the given a) AOB° b) (AUB)\B c) ((Cn4)\(B\A)°)nc

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Q: Follow the format of solution of the picture below and show checking.  348610 B2 B8 B16

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Q: Determine the parametric equations of the path of a particle that travels the circle: (x-4)2 +…

A: We have to find the parametric equations.

Q: Using the fact that the points P, Q, and R are collinear (lie on a line) if and only if PQ × PR = 0,…

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Q: correct position in the answer box. Release your mouse button when the item is place. If you change…

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Q: Consider the following. u = 6i + 2j, v = 5i + 3j (a) Find the projection of u onto v. (b) Find the…

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Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: 5) = -?². (*+). Suppose that cos (x) = and cos (x + Find the value of sin (x + Make use of the…

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Select the answer option that corresponds with polar coordinates (2, 90\degree). 90° 2 WIN 135° 4…

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

Q: Find all the antiderivatives for the following function. Check your work by taking the derivative.…

A: Consider the function  f(y)=-24y25

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: We have to find the critical and extremum points of the function.

Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

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Q: Write the general solution to y = arccos (3) y = + ±2 k 3 y = + +2 7ck 4 Oy =++2 Ik

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Q: Use the graph below to find the inflection point(s) and concavity:

A: Answer is in step 2

Q: Find the critical numbers of the function. y- 2 g(y) = %3D y2 - 2y + 4

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