Find all possible functions with the given derivative. f'(t) = sin 6t+ cos f(t) = t

Q: Determine the radius of convergence and interval of convergence of each power series. 8 n=1 (-2)"xn

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Q: 5x 12x³ - 3 (a) The most appropriate substitution is u = Consider the indefinite integral dx.…

A: I=∫5x212x3-3dx

Q: IV How many positive integers ≤ 180 are relatively prime to 180 (Hint: 180 2².3².5)

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Q: Find the equation for the plane through Po(1, -6,9) perpendicular to the following line. x=1-t,…

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Q: Find the central angle 8. 0 = rad 0 5 10

A: arc is position of a circle  Given radius (r) = 5 and arc length (l) = 10

Q: Find two different planes whose intersection is the line x = 7+t, y=9-t, z=-4-4t. Write equations…

A: x=7+t y=9-t z=-4-4t

Q: Question 7 What is the value of A 1.04 B C D 2.18 2.65 of log (11) 3.67

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Q: Let u = (-1, 1, 0) and v = (-7, 6, -5).

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Q: Find the lengths of the circular arc. (Assume r = 3 and 0 = 114º.) 123π 10 S 0

A: To find out the arc length shown in the picture.

Q: If a rock is dropped from a height of 215 ft, its poistion t seconds after it is dropped until it…

A: Given :st=-16t2+215

Q: Find the first partial derivatives of the function. f(x, t) = √x In(t) fx(x, t) = f(x, t) =

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Q: 49. log (sin t) 3

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Q: Find the domain of the following expression and write your answer in interval notation.. 5-x 9x2…

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Q: Find the radian measure of the angle with the given degree measure. 285⁰ 1.58T X rad

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Q: Use polar coordinates to find the volume of the given solid. Above the cone z = x2 + y2 and below…

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Q: Question 6 When writing the original expression in terms of simpler logarithmic expressions, an…

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Q: Write a vector and scalar equation of each plane. | - a) perpendicular to the line [x, y, z] = [2,…

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Q: 0.5 -4.5 Suppose [ f(x) dx = 10, [ -7 -2 f(x) dx -4.5 *** (10f(x) – 5)dx = | -2 f(x)dx = 5, 0.5 […

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Q: Evaluate the iterated integral by converting to polar coord 9/√81-x² LIVE e-x² - y² dy dx

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Q: Use the remainder theorem and synthetic division to find the value of f(-3) for f(x) = 2x³-4x² +85…

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Q: Graph the function f(x)= -: - 3x²- -6 on [0, 2] and find its average value over the interval. Choose…

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Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and bis Round your answers to…

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Q: The angle is in the second quadrant and cos 0 = Determine possible coordinates for point P on the…

A: Here, given that cos θ=-441 and θ is in the second quadrant. So, sin θ is positive. Now,…

Q: Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile…

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Q: Consider the function f(x) this interval. 1 on the interval [5, 12]. Find the average or mean slope…

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

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: Evaluate the integral. 1 x 3x SSS y sin z dx dy dz 000 1 x 3x SS Sysir 000 (Type an exact answer.)…

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Q: Find f. f(x) = f"(x) = -2 + 18x - 12x², f(0) = 3, f'(0) = 12

A: Integration

Q: Convert the point (x, y, z) = (2, -3, -5) to cylindrical coordinates. Round answers to at least 4…

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Q: (a) (x, y) = (3, -3) + t(1, −6) X Y || (b) xi+yj+zk=k+t(i − j+ k) y || X = Z || ||

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Q: едддддд Stop © Solve the following equations: С © 1092 (5x2-8x) = 2

A: (6)   log25x2-8x=2from properties of log function (i)  if  logab=c than  b=ac

Q: Find the line integral of f(x,y,z) = x+y+z over the straight-line segment from (1,2,4) to (0, -…

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Q: Solve the following Differential Equation in LINEAR DE of Order One 1. ( 1 + xy ) dx - (1 + x2 ) dy…

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Q: Assume lim f(x) = 6, lim g(x)=3, and lim h(x) = 2. Compute the following limit and state the limit…

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Q: Simplify the following expression and write the domain in interval notation. 2x²-13x2+20x 2x-5 Use…

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Q: 1. Sketch a function f(x) with the following properties: • f'(x) > 0 and f"(x) = 0, for x 2

A: As you posted multiple question , I need to solve only first question.

Q: find the derivative

A: I have appended the formula used in the solution procedure part of the question

Q: 3. [FTC3.12] Suppose f(x) dx = −9, -9, 8(x) dx = 5, and [ f(x) dx = 3. (8f(x) + 2g(x)) dx. Show all…

A: Suppose ∫-54 fx dx=-9, ∫14gx dx=5, and ∫-51 fx dx=3. To find the value of ∫148fx+2gx dx.

Q: Let v = 2i − 7j + 4k and w = −5i + 4j+ 1k be two vectors in R³. (1) Find the dot product V. W = (2)…

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: Use the graph of the line to find the x-intercept, y-intercept, and slope. Write the slope-intercept…

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Q: Use linear approximation, i.e. the tangent line, to approximate √27.3 as follows: Let f(x)=√x. The…

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Q: Use synthetic division to divide 7x2-14x +3. The last row of synthetic division is: X-3 O7-23 75 O 7…

A: The answer is in next step.

Q: Find the L5 (Left Riemann sum with 5 subintervals) and R5 (Right Riemann sum with 5 subintervals) of…

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Q: 5. Two fire towers are located 10 km apart. Exact locations of fires are found by measuring, from…

A: Two towers are located 10 km apart  Detailed solution I have done with clear diagram...go through…

Q: A cone-shaped paper drinking cup is to be made to hold 36 cm³ of water. Find the height and radius…

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Q: A central angle is drawn in a circle of radius r, as in the figure below. (Use the following as…

A: Since radius of the circle is r  Therefore the circumference of the circle is 2*pi*r

Q: Find the limit. 7x³ +4 lim 814 28r32r2 +7

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Q: Find the area of the "triangular" region in the first quadrant that is bounded above by X X 4 the…

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Q: name: date: I 1. Determine the point of intersection (if any) between the two lines: L₁ :[x, y, z]=…

A: for intersection both line should have one common point.so,comparing x1 ,y1,z1 of L1 to x2 ,y2,z2 of…

Q: A police car is located 50 feet to the side of a straight road. A red car is driving along the road…

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